From 0a39997c12f0d872413f6f08f16dfd65b191ccdd Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Anton=20Luka=20=C5=A0ijanec?= Date: Thu, 17 Nov 2022 00:21:55 +0100 Subject: fiz/vaje/{3..4} --- .gitignore | 2 + fiz/vaje/3/dokument.lyx | 1073 ++++++++++++++++++++++++++++++++++++++++++ fiz/vaje/3/meritev.tsv | 8 + fiz/vaje/4/.gitignore | 1 + fiz/vaje/4/dokument.lyx | 713 ++++++++++++++++++++++++++++ fiz/vaje/4/nihanje.tsv | 1201 +++++++++++++++++++++++++++++++++++++++++++++++ fiz/vaje/4/preseki.py | 25 + 7 files changed, 3023 insertions(+) create mode 100644 fiz/vaje/3/dokument.lyx create mode 100644 fiz/vaje/3/meritev.tsv create mode 100644 fiz/vaje/4/.gitignore create mode 100644 fiz/vaje/4/dokument.lyx create mode 100644 fiz/vaje/4/nihanje.tsv create mode 100755 fiz/vaje/4/preseki.py diff --git a/.gitignore b/.gitignore index 3dc5117..31500ee 100644 --- a/.gitignore +++ b/.gitignore @@ -4,3 +4,5 @@ fit.log core *.lyx~ \#*.lyx# +.RData +.Rhistory diff --git a/fiz/vaje/3/dokument.lyx b/fiz/vaje/3/dokument.lyx new file mode 100644 index 0000000..194d065 --- /dev/null +++ b/fiz/vaje/3/dokument.lyx @@ -0,0 +1,1073 @@ +#LyX 2.3 created this file. For more info see http://www.lyx.org/ +\lyxformat 544 +\begin_document +\begin_header +\save_transient_properties true +\origin unavailable +\textclass article +\begin_preamble +\usepackage{siunitx} +\usepackage{pgfplots} +\usepackage{listings} +\usepackage{multicol} +\sisetup{output-decimal-marker = {,}, quotient-mode=fraction, output-exponent-marker=\ensuremath{\mathrm{3}}} +\end_preamble +\use_default_options true +\maintain_unincluded_children false +\language slovene +\language_package default +\inputencoding auto +\fontencoding global +\font_roman "default" "default" +\font_sans "default" "default" +\font_typewriter "default" "default" +\font_math "auto" "auto" +\font_default_family default +\use_non_tex_fonts false +\font_sc false +\font_osf false +\font_sf_scale 100 100 +\font_tt_scale 100 100 +\use_microtype false +\use_dash_ligatures true +\graphics default +\default_output_format default +\output_sync 0 +\bibtex_command default +\index_command default +\paperfontsize default +\spacing single +\use_hyperref false +\papersize default +\use_geometry true +\use_package amsmath 1 +\use_package amssymb 1 +\use_package cancel 1 +\use_package esint 1 +\use_package mathdots 1 +\use_package mathtools 1 +\use_package mhchem 1 +\use_package stackrel 1 +\use_package stmaryrd 1 +\use_package undertilde 1 +\cite_engine basic +\cite_engine_type default +\biblio_style plain +\use_bibtopic false +\use_indices false +\paperorientation portrait +\suppress_date false +\justification false +\use_refstyle 1 +\use_minted 0 +\index Index +\shortcut idx +\color #008000 +\end_index +\leftmargin 1cm +\topmargin 2cm +\rightmargin 1cm +\bottommargin 2cm +\headheight 1cm +\headsep 1cm +\footskip 1cm +\secnumdepth 3 +\tocdepth 3 +\paragraph_separation indent +\paragraph_indentation default +\is_math_indent 0 +\math_numbering_side default +\quotes_style german +\dynamic_quotes 0 +\papercolumns 1 +\papersides 1 +\paperpagestyle default +\tracking_changes false +\output_changes false +\html_math_output 0 +\html_css_as_file 0 +\html_be_strict false +\end_header + +\begin_body + +\begin_layout Title +Energija prožne vzmeti +\end_layout + +\begin_layout Author + +\noun on +Anton Luka Šijanec +\end_layout + +\begin_layout Date +16. + november 2022 +\end_layout + +\begin_layout Abstract +Poročilo tretje vaje pri predmetu +\noun on +F41 +\noun default + na Gimnaziji Bežigrad v 4. + letniku. + Vaja je potekala 13. + oktobra 2022. +\end_layout + +\begin_layout Standard +\begin_inset CommandInset toc +LatexCommand tableofcontents + +\end_inset + + +\end_layout + +\begin_layout Section +Naloga +\end_layout + +\begin_layout Enumerate +S pomočjo prožne vzmeti poženi leseno klado po vodoravni podlagi in opazuj, + na kakšni poti se ustavi. + Iz meritev določi koeficient vzmeti. +\end_layout + +\begin_layout Enumerate +Koeficient vzmeti določi tudi s pomočjo elektronske merilne tehtnice in + primerjaj obe vredosti. +\end_layout + +\begin_layout Section +Potrebščine +\end_layout + +\begin_layout Itemize +cev iz pleksi stekla z zatičem +\end_layout + +\begin_layout Itemize +vzmet +\end_layout + +\begin_layout Itemize +lesena klada +\end_layout + +\begin_layout Itemize +silomer +\end_layout + +\begin_layout Itemize +merilni trak +\end_layout + +\begin_layout Itemize +elektronska tehtnica +\end_layout + +\begin_layout Section +Potek dela +\end_layout + +\begin_layout Subsection +Izstreljevanje klade +\begin_inset CommandInset label +LatexCommand label +name "subsec:Izstreljevanje-klade" + +\end_inset + + +\end_layout + +\begin_layout Standard +Vzmet vstavi v cev iz pleksi stekla in zatič namesti v tako lego, da bo + iz cevi gledalo +\begin_inset Formula $\SI{3}{\centi\meter}$ +\end_inset + + vzmeti. +\end_layout + +\begin_layout Standard +Pred vzmet postavi leseno klado in s klado stisni vzmet tako, da bo vsa + v cevi. +\end_layout + +\begin_layout Standard +Klado spusti in izmeri, kako daleč se premakne ( +\begin_inset Formula $s$ +\end_inset + +). + Meritev ponovi vsaj petkrat. +\end_layout + +\begin_layout Standard +Prestavi zatič za eno luknjo tako, da bo iz cevi gledal +\begin_inset Formula $\SI{1}{\centi\meter}$ +\end_inset + + daljši kos vzmeti in ponovno izstreli klado. + Poskus ponavljaj na enak način z različnimi legami zatiča tako, da gleda + pri vsaki naslednji ponovitvi iz cevi +\begin_inset Formula $\SI{1}{\centi\meter}$ +\end_inset + + daljši del vzmeti. + Vsako meritev petkrat ponovi. + Meritve zaključiš pri tisti dolžini vzmeti, ko klada doseže rob mize. +\end_layout + +\begin_layout Standard +Nariši graf premika klade po izstrelitvi ( +\begin_inset Formula $s$ +\end_inset + +) v odvisnosti od deformacije vzmeti pred izstrelitvijo ( +\begin_inset Formula $x$ +\end_inset + +) ter graf +\begin_inset Formula $s(x^{2})$ +\end_inset + +. + Iz naklona drugega grafa in izmerjene sile trenja izračunaj koeficient + uporabljene vzmeti. + Tako izračunani koeficient primerjaj z vrednostjo, ki si jo dobil pri meritvi + +\begin_inset CommandInset ref +LatexCommand ref +reference "subsec:Določanje-koeficienta-s-tehtnico" +plural "false" +caps "false" +noprefix "false" + +\end_inset + +. +\begin_inset Formula +\[ +m_{\text{{klade}}}=\SI{193}{\gram} +\] + +\end_inset + + +\begin_inset Formula +\[ +m_{\text{{pleksi}}}=\SI{63,6}{\gram} +\] + +\end_inset + + +\end_layout + +\begin_layout Standard +\begin_inset Formula +\[ +m_{\text{{vzmeti}}}=\SI{13,7}{\gram} +\] + +\end_inset + + +\end_layout + +\begin_layout Standard +\begin_inset Formula +\[ +l_{\text{{vzmeti}}}=\SI{16,7}{\centi\meter} +\] + +\end_inset + + +\end_layout + +\begin_layout Standard +\begin_inset Formula +\[ +l_{\text{{pleksi}}}=\SI{25}{\centi\meter} +\] + +\end_inset + + +\end_layout + +\begin_layout Standard +\begin_inset Formula +\[ +l_{\text{{pleksi}}_{\text{{luknja0}}}}=\SI{8}{\centi\meter} +\] + +\end_inset + + +\end_layout + +\begin_layout Standard +\begin_inset Formula +\[ +l_{\text{{pleksi}}_{\text{{\Delta med\ luknjami}}}}=\SI{1}{\centi\meter} +\] + +\end_inset + + +\end_layout + +\begin_layout Subsection +Vleka klade +\end_layout + +\begin_layout Standard +Z elastiko pripni na klado silomer in izmeri silo trenja pri premikanju + klade po mizi. + Oceni napako meritve. +\end_layout + +\begin_layout Standard +\begin_inset Formula +\[ +F_{\text{{lepenja}}}=\SI{0,9}{\newton} +\] + +\end_inset + + +\end_layout + +\begin_layout Standard +\begin_inset Formula +\[ +F_{\text{{trenja}}}=\SI{0,7}{\newton} +\] + +\end_inset + + +\end_layout + +\begin_layout Standard +\begin_inset Formula +\[ +\overline{{F}}x=E=\frac{{1}}{2}kx^{2}=F_{\text{{trenja}}}s\rightarrow k=2\frac{{F_{\text{{trenja}}}s}}{x^{2}} +\] + +\end_inset + + +\end_layout + +\begin_layout Standard +\begin_inset ERT +status open + +\begin_layout Plain Layout + + +\backslash +begin{lstlisting} +\end_layout + +\begin_layout Plain Layout + +fit (x*q)**2 "meritev.tsv" using 2:4 via q +\end_layout + +\begin_layout Plain Layout + +fit (x*p) +\begin_inset Quotes gld +\end_inset + +meritev.tsv +\begin_inset Quotes grd +\end_inset + + using 3:4 via p +\end_layout + +\begin_layout Plain Layout + + +\backslash +end{lstlisting} +\end_layout + +\end_inset + + +\end_layout + +\begin_layout Standard +Naklonski kot premice je +\begin_inset Formula $p=\SI{35,1}{\per\meter}\pm\SI{0,4462}{\per\meter}$ +\end_inset + +, koeficient vzmeti je torej po zgornji enačbi +\begin_inset Formula $k=2F_{\text{{trenja}}}p=\SI{51,2568}{\kilo\gram\per\second\squared}$ +\end_inset + +. + Za kvadratno krivuljo pa je +\begin_inset Formula $q=6,05079\pm0,03686$ +\end_inset + + +\end_layout + +\begin_layout Subsection +Določanje koeficienta s tehtnico +\begin_inset CommandInset label +LatexCommand label +name "subsec:Določanje-koeficienta-s-tehtnico" + +\end_inset + + +\end_layout + +\begin_layout Standard +Koeficient vzmeti določi še na drug način: vzmet vstavi v cev iz pleksija, + tako da je še nekaj gleda iz cevi in postavi vse skupaj navpično na elektronsko + tehtnico. + Preberi, kaj kaže tehtnica, ko vzmet v cevi samo stoji na tehtnici in koliko, + ko cev pritisneš navzdol, da se vzmet skrči. + Iz obeh odčitanih vrednosti in deformacije vzmeti izračunaj koeficient + vzmeti. + Meritev ponovi za vsaj štiri različne deformacije vzmeti. +\end_layout + +\begin_layout Standard +\begin_inset Formula +\[ +k=\frac{F}{x}=\frac{{m_{\text{{kot\ jo\ kaže\ tehtnica}}}g}}{x} +\] + +\end_inset + + +\end_layout + +\begin_layout Standard +\begin_inset Formula +\[ +\overline{{k}}=\SI{65,381}{\kilo\gram\per\second\squared} +\] + +\end_inset + + +\end_layout + +\begin_layout Standard +Čeprav je red velikosti na oba načina izmerjenega koeficienta vzmeti enak, + se pojavi razlika; predvidevam, da zato, ker se klada ustavi nekoliko prej, + kot bi se, če lepenja ne bi bilo. + Lepenje, izmerjeno +\begin_inset Formula $\SI{0,9}{\newton},$ +\end_inset + + povzroči, da se telo ustavi prej, čeprav tega ne upoštevam pri računanju + energij, zato izgleda, kakor da je bilo vanjo vložene več energije. +\end_layout + +\begin_layout Standard +\begin_inset Float table +placement H +wide false +sideways false +status open + +\begin_layout Plain Layout +\align center +\begin_inset Tabular + + + + + + + + + +\begin_inset Text + +\begin_layout Plain Layout +\begin_inset Formula $n_{\text{{luknje}}}$ +\end_inset + + +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +\begin_inset Formula $x\text{\left[\si{\centi\meter}\right]}$ +\end_inset + + +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +\begin_inset Formula $s\left[\si{\meter}\right]$ +\end_inset + + +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +\begin_inset Formula $m_{\text{{kot\ jo\ kaže\ tehtnica}}}\left[\si{\gram}\right]$ +\end_inset + + +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +\begin_inset Formula $k_{\text{{iz\ naloge\ \ref{subsec:Dolo=00003D00003D00010Danje-koeficienta-s-tehtnico}}}}\left[\si{\kilo\gram\per\second\squared}\right]$ +\end_inset + + +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +0 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0,03 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0,028 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +190 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +62.13 +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +1 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0,04 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0,05 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +260 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +63,765 +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +2 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0,05 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0,096 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +340 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +66,708 +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +3 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0,06 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0,13 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +400 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +65,4 +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +4 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0,07 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0,174 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +470 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +65,867 +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +5 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0,08 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0,24 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +540 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +66,2175 +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +6 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0,09 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +0,297 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +620 +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +67,58 +\end_layout + +\end_inset + + + + +\end_inset + + +\end_layout + +\begin_layout Plain Layout +\begin_inset Caption Standard + +\begin_layout Plain Layout +Meritve +\end_layout + +\end_inset + + +\end_layout + +\end_inset + + +\end_layout + +\begin_layout Standard +\begin_inset Float figure +placement H +wide false +sideways false +status open + +\begin_layout Plain Layout +\align center +\begin_inset ERT +status open + +\begin_layout Plain Layout + + +\backslash +begin{tikzpicture} +\end_layout + +\begin_layout Plain Layout + + +\backslash +begin{axis}[width=0.75 +\backslash +textwidth, scale only axis, ylabel=$s$, domain=0:0.1, ytick pos=left, samples=256 +, xlabel=$ +\backslash +color{red}x +\backslash +color{black}$, xtick pos=bottom, ylabel=$s$] +\end_layout + +\begin_layout Plain Layout + + +\backslash +addplot[red, only marks] table [x=x, y=s] {meritev.tsv}; +\end_layout + +\begin_layout Plain Layout + + +\backslash +addplot[green] (x, {((x*(6.05079+0.03686))^2}); +\end_layout + +\begin_layout Plain Layout + + +\backslash +addplot[green] (x, {((x*(6.05079-0.03686))^2}); +\end_layout + +\begin_layout Plain Layout + + +\backslash +addplot[red] (x, {((x*(6.05079))^2}); +\end_layout + +\begin_layout Plain Layout + + +\backslash +end{axis} +\end_layout + +\begin_layout Plain Layout + + +\backslash +begin{axis}[width=0.75 +\backslash +textwidth, scale only axis, xlabel near ticks, domain=0:0.01, samples=16, + xtick pos=bottom, xtick pos=top, axis x line*=top, xlabel=$x^2$] +\end_layout + +\begin_layout Plain Layout + + +\backslash +addplot[only marks] table [x=x2, y=s] {meritev.tsv}; +\end_layout + +\begin_layout Plain Layout + + +\backslash +addplot[green] (x, {x*(36.612+0.4462)}); +\end_layout + +\begin_layout Plain Layout + + +\backslash +addplot[green] (x, {x*(36.612-0.4462)}); +\end_layout + +\begin_layout Plain Layout + + +\backslash +addplot[black] (x, {x*36.612}); +\end_layout + +\begin_layout Plain Layout + + +\backslash +end{axis} +\end_layout + +\begin_layout Plain Layout + + +\backslash +end{tikzpicture} +\end_layout + +\end_inset + + +\end_layout + +\begin_layout Plain Layout +\begin_inset Caption Standard + +\begin_layout Plain Layout +\begin_inset CommandInset label +LatexCommand label +name "fig:graf" + +\end_inset + +Grafa +\begin_inset Formula $s(x)$ +\end_inset + + in +\begin_inset Formula $s(x^{2})$ +\end_inset + +. +\end_layout + +\end_inset + + +\end_layout + +\end_inset + + +\end_layout + +\end_body +\end_document diff --git a/fiz/vaje/3/meritev.tsv b/fiz/vaje/3/meritev.tsv new file mode 100644 index 0000000..0165866 --- /dev/null +++ b/fiz/vaje/3/meritev.tsv @@ -0,0 +1,8 @@ +n x x2 s m +0 0.03 0.0009 0.028 190 +1 0.04 0.0016 0.05 260 +2 0.05 0.0025 0.096 340 +3 0.06 0.0036 0.13 400 +4 0.07 0.0049 0.174 470 +5 0.08 0.0064 0.24 540 +6 0.09 0.0081 0.297 620 diff --git a/fiz/vaje/4/.gitignore b/fiz/vaje/4/.gitignore new file mode 100644 index 0000000..4eb278d --- /dev/null +++ b/fiz/vaje/4/.gitignore @@ -0,0 +1 @@ +v_od_x.tsv diff --git a/fiz/vaje/4/dokument.lyx b/fiz/vaje/4/dokument.lyx new file mode 100644 index 0000000..d2051d2 --- /dev/null +++ b/fiz/vaje/4/dokument.lyx @@ -0,0 +1,713 @@ +#LyX 2.3 created this file. For more info see http://www.lyx.org/ +\lyxformat 544 +\begin_document +\begin_header +\save_transient_properties true +\origin unavailable +\textclass article +\begin_preamble +\usepackage{siunitx} +\usepackage{pgfplots} +\usepackage{listings} +\usepackage{multicol} +\sisetup{output-decimal-marker = {,}, quotient-mode=fraction, output-exponent-marker=\ensuremath{\mathrm{3}}} +\end_preamble +\use_default_options true +\maintain_unincluded_children false +\language slovene +\language_package default +\inputencoding auto +\fontencoding global +\font_roman "default" "default" +\font_sans "default" "default" +\font_typewriter "default" "default" +\font_math "auto" "auto" +\font_default_family default +\use_non_tex_fonts false +\font_sc false +\font_osf false +\font_sf_scale 100 100 +\font_tt_scale 100 100 +\use_microtype false +\use_dash_ligatures true +\graphics default +\default_output_format default +\output_sync 0 +\bibtex_command default +\index_command default +\paperfontsize default +\spacing single +\use_hyperref false +\papersize default +\use_geometry true +\use_package amsmath 1 +\use_package amssymb 1 +\use_package cancel 1 +\use_package esint 1 +\use_package mathdots 1 +\use_package mathtools 1 +\use_package mhchem 1 +\use_package stackrel 1 +\use_package stmaryrd 1 +\use_package undertilde 1 +\cite_engine basic +\cite_engine_type default +\biblio_style plain +\use_bibtopic false +\use_indices false +\paperorientation portrait +\suppress_date false +\justification false +\use_refstyle 1 +\use_minted 0 +\index Index +\shortcut idx +\color #008000 +\end_index +\leftmargin 1cm +\topmargin 2cm +\rightmargin 1cm +\bottommargin 2cm +\headheight 1cm +\headsep 1cm +\footskip 1cm +\secnumdepth 3 +\tocdepth 3 +\paragraph_separation indent +\paragraph_indentation default +\is_math_indent 0 +\math_numbering_side default +\quotes_style german +\dynamic_quotes 0 +\papercolumns 1 +\papersides 1 +\paperpagestyle default +\tracking_changes false +\output_changes false +\html_math_output 0 +\html_css_as_file 0 +\html_be_strict false +\end_header + +\begin_body + +\begin_layout Title +Dušeno nihanje nitnega nihala +\end_layout + +\begin_layout Author + +\noun on +Anton Luka Šijanec +\end_layout + +\begin_layout Date +16. + november 2022 +\end_layout + +\begin_layout Abstract +Poročilo četrte vaje pri predmetu +\noun on +F41 +\noun default + na Gimnaziji Bežigrad v 4. + letniku. + Vaja je potekala 13. + oktobra 2022. +\end_layout + +\begin_layout Standard +\begin_inset CommandInset toc +LatexCommand tableofcontents + +\end_inset + + +\end_layout + +\begin_layout Section +Zveza med amplitudo hitrosti in amplitudo odmika +\end_layout + +\begin_layout Subsection +Naloga +\end_layout + +\begin_layout Standard +Razišči zvezo med amplitudo hitrosti in amplitudo odmika pri nihanju nitnega + nihala. +\end_layout + +\begin_layout Subsection +Potek dela +\end_layout + +\begin_layout Enumerate +Ko je nihalo v ravnovesni legi, nastavi ničlo slednika gibanja. +\end_layout + +\begin_layout Enumerate +S pomočjo slednika gibanja zajemi podatke za +\begin_inset Formula $\SI{60}{\second}$ +\end_inset + + dušenega nihanja nitnega nihala. +\end_layout + +\begin_layout Enumerate +Na vsake štiri nihaje odčitaj amplitudo odmika in amplitudo hitrosti in + podatke zapiši v tabelo. + Ker nihalo nima največje hitrosti, ko je odmik največji, odčitavaj največjo + hitrost vedno četrt nihaja prej kot največji odmik. +\end_layout + +\begin_layout Enumerate +Nariši graf amplitude hitrosti +\begin_inset Formula $v_{0}$ +\end_inset + + v odvisnosti od amplitude odmika +\begin_inset Formula $x_{0}$ +\end_inset + +! Določi naklon grafa in oceni nenatančnost te vrednosti. +\begin_inset Newline newline +\end_inset + + +\begin_inset ERT +status open + +\begin_layout Plain Layout + + +\backslash +begin{lstlisting} +\end_layout + +\begin_layout Plain Layout + +fit (x*p) "v_od_x.tsv" using 1:2 via p +\end_layout + +\begin_layout Plain Layout + + +\backslash +end{lstlisting} +\end_layout + +\end_inset + + +\begin_inset Formula +\[ +p=\SI{4,52127}{\per\second}\pm\SI{0,1111}{\per\second} +\] + +\end_inset + + +\end_layout + +\begin_layout Enumerate +Iz grafa +\begin_inset Formula $x(t)$ +\end_inset + + določi +\begin_inset Formula $t_{0}$ +\end_inset + + in določi nenatančnost te vrednosti. + Iz tako določenega +\begin_inset Formula $t_{0}$ +\end_inset + + in iz naklona grafa +\begin_inset Formula $v_{0}(x_{0})$ +\end_inset + + preveri zvezo +\begin_inset Formula $v_{0}=x_{0}2\pi/t_{0}$ +\end_inset + +. +\end_layout + +\begin_layout Standard +\begin_inset Formula +\[ +t_{0_{\text{{odčitan}}}}=\frac{{t}}{n}=\SI{1,2806}{\second} +\] + +\end_inset + + +\end_layout + +\begin_layout Standard +\begin_inset Formula +\[ +t_{0_{\text{{izračunan}}}}=\frac{{2\pi}}{p}=\SI{1,38969}{\second} +\] + +\end_inset + + +\end_layout + +\begin_layout Standard +Red velikosti je enak, vendar se rešitvi razlikujeta. + Najverjetneje so bili med zaznavanjem prehodov čez nič za odčitanje +\begin_inset Formula $t_{0}$ +\end_inset + + iz grafa +\begin_inset Formula $x(t)$ +\end_inset + + lažni pozitivni odčitki. +\end_layout + +\begin_layout Standard +\begin_inset Float figure +placement H +wide false +sideways false +status open + +\begin_layout Plain Layout +\align center +\begin_inset ERT +status open + +\begin_layout Plain Layout + + +\backslash +begin{tikzpicture} +\end_layout + +\begin_layout Plain Layout + + +\backslash +begin{axis}[width=0.75 +\backslash +textwidth, scale only axis, ylabel=$v$, domain=-0.1:0.1, ytick pos=left, samples=2 +56, xlabel=$x$, xtick pos=bottom] +\end_layout + +\begin_layout Plain Layout + + +\backslash +addplot[red, only marks] table [x=x, y=v] {v_od_x.tsv}; +\end_layout + +\begin_layout Plain Layout + + +\backslash +addplot[green] (x, {x*(4.52127+0.1111)}); +\end_layout + +\begin_layout Plain Layout + + +\backslash +addplot[green] (x, {x*(4.52127-0.1111)}); +\end_layout + +\begin_layout Plain Layout + + +\backslash +addplot[red] (x, {x*(4.52127)}); +\end_layout + +\begin_layout Plain Layout + + +\backslash +end{axis} +\end_layout + +\begin_layout Plain Layout + + +\backslash +end{tikzpicture} +\end_layout + +\end_inset + + +\end_layout + +\begin_layout Plain Layout +\begin_inset Caption Standard + +\begin_layout Plain Layout +\begin_inset CommandInset label +LatexCommand label +name "fig:graf" + +\end_inset + +Graf amplitude hitrosti nihanja v odvisnosti od amplitude odmika nihala. +\end_layout + +\end_inset + + +\end_layout + +\end_inset + + +\end_layout + +\begin_layout Section +Zmanjševanje amplitude pri dušenem nihanju +\end_layout + +\begin_layout Subsection +Naloga +\end_layout + +\begin_layout Standard +Potrdi, da se amplituda +\begin_inset Formula $x_{0}$ +\end_inset + + pri dušenem nihanju zmanjšuje eksponentno kot +\begin_inset Formula $x_{0}(t)=x_{00}e^{-\beta t}$ +\end_inset + +, kjer je +\begin_inset Formula $x_{00}$ +\end_inset + + amplituda nihala ob času +\series bold + +\begin_inset Formula $t=\SI{0}{\second}$ +\end_inset + + +\series default +, +\begin_inset Formula $\beta$ +\end_inset + + pa koeficient dušenja. +\end_layout + +\begin_layout Subsection +Potek dela +\end_layout + +\begin_layout Enumerate +Nariši graf amplitude hitrosti +\begin_inset Formula $x_{0}$ +\end_inset + + v odvisnosti od časa! Skozi točke na grafu +\series bold + +\begin_inset Formula $x_{0}(t)$ +\end_inset + + +\series default + nariši ustrezno eksponentno krivuljo! +\begin_inset Newline newline +\end_inset + + +\begin_inset ERT +status open + +\begin_layout Plain Layout + + +\backslash +begin{lstlisting} +\end_layout + +\begin_layout Plain Layout + +n=0.1 +\end_layout + +\begin_layout Plain Layout + +b=0.01 +\end_layout + +\begin_layout Plain Layout + +fit n*exp(-b*x) "v_od_x.tsv" using 3:4 via n, b +\end_layout + +\begin_layout Plain Layout + +fit (x*ln) "v_od_x.tsv" using 3:5 via ln +\end_layout + +\begin_layout Plain Layout + + +\backslash +end{lstlisting} +\end_layout + +\end_inset + + +\begin_inset Formula +\[ +n=x_{00}=\SI{0,0943867}{\meter}\pm\SI{0,001524}{\meter} +\] + +\end_inset + + +\begin_inset Formula +\[ +b=\SI{0,0441715}{\per\second}\pm\SI{0,001038}{\per\second}=\beta +\] + +\end_inset + + +\begin_inset Formula +\[ +ln=-\beta=\SI{-0,0467447}{\per\second}\pm\SI{0,001239}{\per\second} +\] + +\end_inset + + +\begin_inset Newline newline +\end_inset + + +\begin_inset Formula $b$ +\end_inset + + in +\begin_inset Formula $ln$ +\end_inset + +, torej +\begin_inset Formula $\beta$ +\end_inset + +, pridobljeni pred linearizacijo in po linearizaciji sta skoraj enaki. + Razlika med njima se pojavi samo zaradi namerne nenatančnosti računalnika. +\end_layout + +\begin_layout Enumerate +Nariši graf +\begin_inset Formula $\ln\left(\frac{x_{0}}{x_{00}}\right)$ +\end_inset + + v odvisnosti od časa in iz grafa določi koeficient dušenja +\begin_inset Formula $\beta$ +\end_inset + +. + Določitev napak v +\begin_inset Formula $\ref{enu:Nari=00003D000161i-graf-}.$ +\end_inset + + delu vaje ni potrebna. +\begin_inset CommandInset label +LatexCommand label +name "enu:Nariši-graf-" + +\end_inset + + +\end_layout + +\begin_layout Standard +\begin_inset Float figure +placement H +wide false +sideways false +status open + +\begin_layout Plain Layout +\align center +\begin_inset ERT +status open + +\begin_layout Plain Layout + + +\backslash +begin{tikzpicture} +\end_layout + +\begin_layout Plain Layout + + +\backslash +begin{axis}[width=0.75 +\backslash +textwidth, scale only axis, domain=0:60, ytick pos=left, samples=256, xlabel=$t$ +, xtick pos=bottom, ylabel=$ +\backslash +sqrt{x^2}$] +\end_layout + +\begin_layout Plain Layout + + +\backslash +addplot[only marks] table [x=t, y=absx] {v_od_x.tsv}; +\end_layout + +\begin_layout Plain Layout + + +\backslash +addplot[green] (x, {(0.0943867+0.001524)*exp((-0.0441715+ 0.001038)*x)}); +\end_layout + +\begin_layout Plain Layout + + +\backslash +addplot[green] (x, {(0.0943867-0.001524)*exp((-0.0441715- 0.001038)*x)}); +\end_layout + +\begin_layout Plain Layout + + +\backslash +addplot[black] (x, {0.0943867*exp(-0.0441715*x)}); +\end_layout + +\begin_layout Plain Layout + + +\backslash +end{axis} +\end_layout + +\begin_layout Plain Layout + + +\backslash +begin{axis}[width=0.75 +\backslash +textwidth, scale only axis, domain=0:60, xlabel near ticks, samples=16, + xlabel=$t$, ylabel near ticks, ytick pos=right, axis y line*=right, ylabel=$ +\backslash +ln +\backslash +frac{x_0}{x_{00}}$] +\end_layout + +\begin_layout Plain Layout + + +\backslash +addplot[red, only marks] table [x=t, y=ln] {v_od_x.tsv}; +\end_layout + +\begin_layout Plain Layout + + +\backslash +addplot[green] (x, {x*(-0.0467447+0.001239)}); +\end_layout + +\begin_layout Plain Layout + + +\backslash +addplot[green] (x, {x*(-0.0467447-0.001239)}); +\end_layout + +\begin_layout Plain Layout + + +\backslash +addplot[red] (x, {x*-0.0467447}); +\end_layout + +\begin_layout Plain Layout + + +\backslash +end{axis} +\end_layout + +\begin_layout Plain Layout + + +\backslash +end{tikzpicture} +\end_layout + +\end_inset + + +\end_layout + +\begin_layout Plain Layout +\begin_inset Caption Standard + +\begin_layout Plain Layout +\begin_inset CommandInset label +LatexCommand label +name "fig:graf-1" + +\end_inset + +Graf amplitude nihanja (največjega odmika od osi) v odvisnosti od časa. +\end_layout + +\end_inset + + +\end_layout + +\end_inset + + +\end_layout + +\begin_layout Section +Uporabljen program +\end_layout + +\begin_layout Standard +Za zaznavanje prehoda ničel in generiranje tabel sem spisal majhen program: +\end_layout + +\begin_layout Standard +\begin_inset ERT +status open + +\begin_layout Plain Layout + + +\backslash +lstinputlisting[language=Python]{preseki.py} +\end_layout + +\end_inset + + +\end_layout + +\end_body +\end_document diff --git a/fiz/vaje/4/nihanje.tsv b/fiz/vaje/4/nihanje.tsv new file mode 100644 index 0000000..40de805 --- /dev/null +++ b/fiz/vaje/4/nihanje.tsv @@ -0,0 +1,1201 @@ +t x v a +0.05 0.073402 -0.395021667 -0.247764568 +0.1 0.053851 -0.40474 -0.296668534 +0.15 0.033957 -0.422633167 -0.308636481 +0.2 0.0121765 -0.447710278 -0.107282778 +0.25 -0.012348 -0.444851944 0.342385988 +0.3 -0.033614 -0.411123611 0.799687562 +0.35 -0.0533365 -0.369010833 1.321661574 +0.4 -0.0728875 -0.278592222 1.774813272 +0.45 -0.081977 -0.173119722 1.84060787 +0.5 -0.0896945 -0.076698611 1.54805216 +0.55 -0.087808 -0.016483056 1.213838889 +0.6 -0.090552 0.027344722 1.226701389 +0.65 -0.0859215 0.089942222 1.554986265 +0.7 -0.083006 0.180741944 1.895075 +0.75 -0.0698005 0.304793611 1.743318673 +0.8 -0.049735 0.377871667 1.1319 +0.85 -0.0300125 0.409408611 0.600832253 +0.9 -0.0090895 0.432751667 0.152285648 +0.95 0.014406 0.429798056 -0.352104321 +1 0.0355005 0.393306667 -0.779742747 +1.05 0.0536795 0.349097778 -1.150426235 +1.1 0.0715155 0.280021389 -1.519998148 +1.15 0.082663 0.190365 -1.74802963 +1.2 0.0903805 0.099851111 -1.856699228 +1.25 0.092953 0.002763056 -1.8993625 +1.3 0.090552 -0.09261 -1.867232716 +1.35 0.083692 -0.186649167 -1.751787809 +1.4 0.0718585 -0.275638611 -1.474529475 +1.45 0.05488 -0.339474722 -1.082831944 +1.5 0.0368725 -0.379396111 -0.741949228 +1.55 0.01715 -0.415601667 -0.350886883 +1.6 -0.0060025 -0.4210325 0.15435 +1.65 -0.026068 -0.400833611 0.671073148 +1.7 -0.0475055 -0.348430833 1.09532392 +1.75 -0.0608825 -0.287453056 1.41815679 +1.8 -0.0770035 -0.209325278 1.718440586 +1.85 -0.083692 -0.099565278 1.689169136 +1.9 -0.085064 -0.024105278 1.358555247 +1.95 -0.0848925 0.028392778 1.167629167 +2 -0.0821485 0.077556111 1.269417593 +2.05 -0.0780325 0.145679722 1.553133642 +2.1 -0.0691145 0.241719722 1.646982253 +2.15 -0.0536795 0.332328889 1.30641713 +2.2 -0.0337855 0.382254444 0.735120988 +2.25 -0.014063 0.399023333 0.24036466 +2.3 0.006174 0.404263611 -0.210140432 +2.35 0.0276115 0.381015833 -0.676631019 +2.4 0.045619 0.330232778 -1.015714043 +2.45 0.060711 0.272208611 -1.222519753 +2.5 0.072716 0.211040278 -1.458173457 +2.55 0.0828345 0.129673056 -1.723098611 +2.6 0.0866075 0.030488889 -1.824834105 +2.65 0.085407 -0.061644722 -1.750358642 +2.7 0.079919 -0.144822222 -1.635178395 +2.75 0.0708295 -0.223045278 -1.521956636 +2.8 0.057967 -0.303650278 -1.267353241 +2.85 0.0392735 -0.358625556 -0.829181327 +2.9 0.0210945 -0.388638056 -0.333895679 +2.95 -0.000686 -0.391210556 0.140005401 +3 -0.019208 -0.367962778 0.482529012 +3.05 -0.0375585 -0.337855 0.735544444 +3.1 -0.0529935 -0.300029722 1.063405864 +3.15 -0.068943 -0.236098333 1.443299537 +3.2 -0.078204 -0.141392222 1.570177778 +3.25 -0.081291 -0.072601667 1.550910494 +3.3 -0.086093 0.006478889 1.601460648 +3.35 -0.081634 0.097469167 1.478128858 +3.4 -0.0746025 0.160066667 1.266612191 +3.45 -0.0649985 0.211516667 1.237605401 +3.5 -0.0550515 0.284594722 1.174722068 +3.55 -0.036015 0.346525278 0.799274691 +3.6 -0.018179 0.366247778 0.35258071 +3.65 0.0005145 0.378348056 -0.059336883 +3.7 0.0207515 0.363389444 -0.503384259 +3.75 0.038073 0.323372778 -0.849560185 +3.8 0.0533365 0.272970833 -1.093947685 +3.85 0.065513 0.215041944 -1.334312346 +3.9 0.0756315 0.140725278 -1.573988889 +3.95 0.080262 0.052212222 -1.704043056 +4 0.080605 -0.034681111 -1.714894136 +4.05 0.076832 -0.121383889 -1.642218364 +4.1 0.0686 -0.206371667 -1.411381481 +4.15 0.0550515 -0.268111667 -1.070128241 +4.2 0.040817 -0.309081111 -0.782918673 +4.25 0.0241815 -0.344524444 -0.511377006 +4.3 0.0060025 -0.367105278 -0.121743827 +4.35 -0.0138915 -0.360721667 0.330455093 +4.4 -0.0313845 -0.326802778 0.659957407 +4.45 -0.0464765 -0.288310556 0.882483951 +4.5 -0.060025 -0.245626111 1.196265432 +4.55 -0.072716 -0.172738611 1.543447068 +4.6 -0.0787185 -0.073173333 1.564249383 +4.65 -0.077861 -0.008479722 1.418739043 +4.7 -0.079919 0.059834444 1.401694907 +4.75 -0.0722015 0.132626667 1.368559414 +4.8 -0.0660275 0.194938333 1.345798611 +4.85 -0.0540225 0.276019722 1.141427778 +4.9 -0.0365295 0.320800278 0.712254321 +4.95 -0.0207515 0.340522778 0.362373148 +5 -0.0029155 0.357958611 -0.011221605 +5.05 0.016464 0.345096111 -0.455586574 +5.1 0.032928 0.305555833 -0.77402608 +5.15 0.046991 0.260394167 -0.963522994 +5.2 0.0588245 0.212755278 -1.192877778 +5.25 0.069286 0.145203333 -1.475588117 +5.3 0.0742595 0.058500556 -1.626074074 +5.35 0.074774 -0.024200556 -1.620039815 +5.4 0.07203 -0.108426111 -1.487868364 +5.45 0.0632835 -0.17836 -1.241310648 +5.5 0.0533365 -0.230286389 -1.02270108 +5.55 0.0403025 -0.279163889 -0.819971142 +5.6 0.0248675 -0.314226111 -0.575742438 +5.65 0.008575 -0.3404275 -0.245816667 +5.7 -0.0101185 -0.342714167 0.167371296 +5.75 -0.026411 -0.326040556 0.606707716 +5.8 -0.0444185 -0.275733889 0.921230247 +5.85 -0.053851 -0.222854722 1.031911265 +5.9 -0.0660275 -0.177693056 1.210292438 +5.95 -0.073059 -0.105948889 1.443034877 +6 -0.076832 -0.027916389 1.562767284 +6.05 -0.076146 0.056880833 1.523438735 +6.1 -0.071001 0.134532222 1.280745062 +6.15 -0.061397 0.187983056 0.985331019 +6.2 -0.051107 0.220663333 0.887618364 +6.25 -0.040817 0.273733056 0.833998148 +6.3 -0.0234955 0.319942778 0.505342747 +6.35 -0.0066885 0.326612222 0.10390571 +6.4 0.0090895 0.326326389 -0.253068364 +6.45 0.026754 0.304698333 -0.649529784 +6.5 0.040817 0.257345278 -0.950766358 +6.55 0.0526505 0.2032275 -1.125389352 +6.6 0.061397 0.141773333 -1.235223457 +6.65 0.066542 0.082129444 -1.370835494 +6.7 0.070315 0.008479722 -1.541753241 +6.75 0.0684285 -0.082224722 -1.509252932 +6.8 0.061054 -0.154159444 -1.249462191 +6.85 0.0519645 -0.2049425 -1.00200463 +6.9 0.040474 -0.249913611 -0.818753704 +6.95 0.026754 -0.2872625 -0.619623148 +7 0.011662 -0.318227778 -0.301924691 +7.05 -0.0063455 -0.322896389 0.125449074 +7.1 -0.0217805 -0.300791944 0.482158488 +7.15 -0.0361865 -0.275066944 0.822247222 +7.2 -0.0509355 -0.217614444 1.106545525 +7.25 -0.05831 -0.151682222 1.145450617 +7.3 -0.06517 -0.100422778 1.118614043 +7.35 -0.0687715 -0.042684444 1.141639506 +7.4 -0.068943 0.009146667 1.244010185 +7.45 -0.0687715 0.077175 1.402594753 +7.5 -0.062426 0.16464 1.280004012 +7.55 -0.050078 0.213612778 0.977973457 +7.6 -0.0409885 0.255916111 0.752906173 +7.65 -0.0245245 0.293074444 0.454104475 +7.7 -0.0101185 0.300315556 0.165254012 +7.75 0.0049735 0.310224444 -0.148315741 +7.8 0.0221235 0.292598056 -0.572301852 +7.85 0.035672 0.246674167 -0.876185031 +7.9 0.046648 0.197606111 -1.039321759 +7.95 0.055566 0.143011944 -1.176310031 +8 0.061397 0.0797475 -1.287202778 +8.05 0.063798 0.010956944 -1.325472685 +8.1 0.062426 -0.056880833 -1.274710802 +8.15 0.0577955 -0.118335 -1.172234259 +8.2 0.050421 -0.174548889 -1.046520525 +8.25 0.040131 -0.224950833 -0.871262346 +8.3 0.02744 -0.263538333 -0.642436883 +8.35 0.0135485 -0.293265 -0.326326389 +8.4 -0.0029155 -0.299458056 0.049279784 +8.45 -0.0173215 -0.285166389 0.367931019 +8.5 -0.031899 -0.258012222 0.609195525 +8.55 -0.0430465 -0.225713056 0.85977608 +8.6 -0.055223 -0.176930833 1.156460494 +8.65 -0.062426 -0.099374722 1.253485031 +8.7 -0.0639695 -0.038968611 1.122372222 +8.75 -0.06517 0.002286667 1.136663889 +8.8 -0.0656845 0.072601667 1.185837809 +8.85 -0.0571095 0.131006944 1.073092438 +8.9 -0.0516215 0.173786667 1.028364815 +8.95 -0.0413315 0.238385 0.876396759 +9 -0.0262395 0.273637778 0.508042284 +9.05 -0.012691 0.2838325 0.202041821 +9.1 0.001715 0.292979167 -0.100676852 +9.15 0.0176645 0.278878056 -0.47289537 +9.2 0.0306985 0.241910278 -0.770585494 +9.25 0.0420175 0.196939167 -0.968022222 +9.3 0.050764 0.142726111 -1.097017747 +9.35 0.0564235 0.084987778 -1.167735031 +9.4 0.059339 0.0248675 -1.205687346 +9.45 0.058996 -0.037063056 -1.202299691 +9.5 0.055566 -0.097278611 -1.148097222 +9.55 0.0492205 -0.154826389 -1.028470679 +9.6 0.0396165 -0.202655833 -0.849136728 +9.65 0.028469 -0.239147222 -0.655934568 +9.7 0.015778 -0.271732222 -0.389103858 +9.75 0.000343 -0.283260833 -0.034511728 +9.8 -0.01372 -0.27097 0.252380247 +9.85 -0.026754 -0.253248333 0.46331466 +9.9 -0.039102 -0.229333611 0.746766049 +9.95 -0.050764 -0.182171111 1.06732284 +10 -0.05831 -0.1157625 1.238875772 +10.05 -0.0625975 -0.044399444 1.15307284 +10.1 -0.0612255 0.001524444 1.021854167 +10.15 -0.0622545 0.044208889 1.109245062 +10.2 -0.05831 0.111475 1.202035031 +10.25 -0.051107 0.177978889 1.047473302 +10.3 -0.039445 0.224188611 0.727816358 +10.35 -0.0276115 0.247341111 0.442300617 +10.4 -0.0145775 0.263157222 0.237665123 +10.45 -0.001372 0.274971667 -0.030330093 +10.5 0.0138915 0.265920278 -0.392226852 +10.55 0.026411 0.231906111 -0.684306173 +10.6 0.0372155 0.191031944 -0.851412809 +10.65 0.045619 0.145298611 -0.970192438 +10.7 0.0519645 0.094420278 -1.078226852 +10.75 0.0553945 0.036396111 -1.154131481 +10.8 0.0557375 -0.024391111 -1.155560648 +10.85 0.052822 -0.082510556 -1.082884877 +10.9 0.0471625 -0.133674722 -0.978608642 +10.95 0.0392735 -0.180265556 -0.858664506 +11 0.0289835 -0.221235 -0.687111574 +11.05 0.0169785 -0.254772778 -0.401225309 +11.1 0.002401 -0.265158056 -0.040810648 +11.15 -0.0104615 -0.254296389 0.245075617 +11.2 -0.022981 -0.238480278 0.474589198 +11.25 -0.0351575 -0.206276389 0.679012963 +11.3 -0.043904 -0.165688056 0.802450617 +11.35 -0.051107 -0.131102222 0.994752932 +11.4 -0.058653 -0.067647222 1.184038117 +11.45 -0.0581385 0.001048056 1.119672685 +11.5 -0.057281 0.047734167 0.979349691 +11.55 -0.053508 0.095373056 0.890900154 +11.6 -0.0471625 0.131864444 0.88195463 +11.65 -0.0413315 0.184267222 0.848289815 +11.7 -0.028469 0.229143056 0.587969753 +11.75 -0.016807 0.244292222 0.285145216 +11.8 -0.0039445 0.252390833 0.050020833 +11.85 0.008575 0.251914444 -0.224749691 +11.9 0.0221235 0.232954167 -0.541071914 +11.95 0.0327565 0.194271389 -0.789535185 +12 0.0416745 0.149586111 -0.942561883 +12.05 0.04802 0.097564444 -1.029052932 +12.1 0.05145 0.04459 -1.063088272 +12.15 0.052479 -0.009241944 -1.074627469 +12.2 0.0505925 -0.063836111 -1.05244892 +12.25 0.0461335 -0.117763333 -0.960029475 +12.3 0.038416 -0.162925 -0.804726698 +12.35 0.0293265 -0.197606111 -0.644289506 +12.4 0.018522 -0.226570556 -0.47464213 +12.45 0.0066885 -0.250961667 -0.192355247 +12.5 -0.0077175 -0.251152222 0.181504167 +12.55 -0.019551 -0.2272375 0.449393519 +12.6 -0.030527 -0.199035278 0.585164352 +12.65 -0.039445 -0.167021944 0.684359105 +12.7 -0.0468195 -0.138533889 0.893017438 +12.75 -0.055223 -0.077460833 1.079497222 +12.8 -0.0547085 -0.013148333 0.972203858 +12.85 -0.0543655 0.016483056 0.910590895 +12.9 -0.054194 0.065074722 1.044191512 +12.95 -0.048706 0.126624167 1.065946605 +13 -0.0413315 0.184267222 0.849348457 +13.05 -0.029155 0.218567222 0.487239969 +13.1 -0.018179 0.226570556 0.224908488 +13.15 -0.0066885 0.233335278 0.090884414 +13.2 0.004802 0.241243333 -0.130848148 +13.25 0.018522 0.227618611 -0.47289537 +13.3 0.028812 0.18865 -0.724746296 +13.35 0.0372155 0.148252222 -0.844055247 +13.4 0.0437325 0.103948056 -0.932822377 +13.45 0.0478485 0.054975278 -1.005180556 +13.5 0.049392 0.002191389 -1.044350309 +13.55 0.0481915 -0.052593333 -1.014496605 +13.6 0.043904 -0.102328333 -0.921441975 +13.65 0.0375585 -0.144631667 -0.814466204 +13.7 0.0293265 -0.1826475 -0.70113858 +13.75 0.019551 -0.220758611 -0.46834321 +13.8 0.006174 -0.236479444 -0.110522222 +13.85 -0.0053165 -0.227046944 0.1672125 +13.9 -0.016464 -0.213612778 0.323520988 +13.95 -0.0269255 -0.194080833 0.450240432 +14 -0.0361865 -0.167498333 0.561980093 +14.05 -0.0433895 -0.142059167 0.747348302 +14.1 -0.05145 -0.09604 0.978714506 +14.15 -0.0536795 -0.036396111 1.065152623 +14.2 -0.054537 0.015435 1.048690741 +14.25 -0.052136 0.067837778 1.012961574 +14.3 -0.047677 0.116810556 0.947008179 +14.35 -0.040817 0.1689275 0.757405401 +14.4 -0.0296695 0.19894 0.451510802 +14.45 -0.019894 0.207896111 0.24639892 +14.5 -0.009261 0.219424722 0.113909877 +14.55 0.002401 0.221997222 -0.063412654 +14.6 0.0132055 0.216756944 -0.310446759 +14.65 0.0248675 0.193604444 -0.6045375 +14.7 0.0334425 0.151682222 -0.808908333 +14.75 0.0399595 0.107854444 -0.909055864 +14.8 0.0444185 0.059358056 -0.959235494 +14.85 0.045962 0.009908889 -0.959447222 +14.9 0.045276 -0.037539444 -0.932769444 +14.95 0.042189 -0.083844444 -0.884812963 +15 0.0368725 -0.128148611 -0.7931875 +15.05 0.0289835 -0.164830556 -0.661227778 +15.1 0.0200655 -0.193604444 -0.517411265 +15.15 0.0097755 -0.220758611 -0.284562963 +15.2 -0.0029155 -0.227904444 0.051344136 +15.25 -0.014063 -0.212564722 0.323362191 +15.3 -0.0245245 -0.188459444 0.460456327 +15.35 -0.032928 -0.161591111 0.51222392 +15.4 -0.0399595 -0.14406 0.683670988 +15.45 -0.0485345 -0.102233056 0.998458179 +15.5 -0.05145 -0.036491389 1.151379012 +15.55 -0.052136 0.027916389 1.020795525 +15.6 -0.0475055 0.072125278 0.758675772 +15.65 -0.043561 0.090990278 0.698121451 +15.7 -0.040131 0.136151944 0.736020833 +15.75 -0.029841 0.177788333 0.556157562 +15.8 -0.020923 0.194271389 0.322091821 +15.85 -0.01029 0.205133056 0.15032716 +15.9 -0.0001715 0.207705556 -0.000370525 +15.95 0.01029 0.209992222 -0.234171605 +16 0.021952 0.189221667 -0.549170525 +16.05 0.030184 0.148538056 -0.746025 +16.1 0.0365295 0.1089025 -0.828334414 +16.15 0.04116 0.066122778 -0.890423765 +16.2 0.0433895 0.019341389 -0.926047068 +16.25 0.043218 -0.029631389 -0.898204784 +16.3 0.040131 -0.072982778 -0.816477623 +16.35 0.035672 -0.110903333 -0.729986574 +16.4 0.0289835 -0.145870278 -0.637249537 +16.45 0.020923 -0.176454444 -0.502325617 +16.5 0.010976 -0.198177778 -0.313305093 +16.55 0.0008575 -0.211135556 -0.058331173 +16.6 -0.010976 -0.205704722 0.217021605 +16.65 -0.02058 -0.183219167 0.38185216 +16.7 -0.0289835 -0.162829722 0.472260185 +16.75 -0.0365295 -0.143107222 0.667420833 +16.8 -0.04459 -0.100803889 0.921283179 +16.85 -0.0478485 -0.036777222 0.93922716 +16.9 -0.046305 -0.001905556 0.857341204 +16.95 -0.0481915 0.035348056 0.961723302 +17 -0.0447615 0.102328333 0.914402006 +17.05 -0.036358 0.141582778 0.615864969 +17.1 -0.0293265 0.157113056 0.416363889 +17.15 -0.0210945 0.175978056 0.33670108 +17.2 -0.011662 0.191698889 0.244969753 +17.25 -0.002058 0.207133889 0.029641975 +17.3 0.0101185 0.200464444 -0.293667284 +17.35 0.0190365 0.172071667 -0.520110802 +17.4 0.027097 0.143297778 -0.643442593 +17.45 0.033614 0.108140278 -0.747612963 +17.5 0.0382445 0.066980278 -0.81160787 +17.55 0.0403025 0.024772222 -0.831033951 +17.6 0.0406455 -0.016483056 -0.832251389 +17.65 0.038759 -0.0591675 -0.809120062 +17.7 0.034643 -0.09947 -0.738773302 +17.75 0.0286405 -0.135103889 -0.625022222 +17.8 0.0207515 -0.162925 -0.483111265 +17.85 0.012005 -0.182266389 -0.341200309 +17.9 0.002744 -0.201131389 -0.118991358 +17.95 -0.0090895 -0.199321111 0.188597068 +18 -0.018179 -0.177121389 0.40101358 +18.05 -0.026754 -0.153206667 0.508889198 +18.1 -0.0334425 -0.126719444 0.623381327 +18.15 -0.0392735 -0.098707778 0.843420062 +18.2 -0.0451045 -0.040588333 0.997770062 +18.25 -0.0437325 0.022676111 0.778737037 +18.3 -0.0399595 0.038206389 0.537578395 +18.35 -0.040131 0.055546944 0.637249537 +18.4 -0.036358 0.103090556 0.733321296 +18.45 -0.029155 0.142059167 0.603108333 +18.5 -0.021266 0.164354167 0.412711574 +18.55 -0.013034 0.185601111 0.173352623 +18.6 -0.001372 0.182266389 -0.061983488 +18.65 0.0056595 0.169022778 -0.128995525 +18.7 0.0142345 0.173024444 -0.259737809 +18.75 0.0241815 0.153683056 -0.559015895 +18.8 0.03087 0.111093889 -0.755552778 +18.85 0.034986 0.069648056 -0.797051543 +18.9 0.0375585 0.031536944 -0.809702315 +18.95 0.038416 -0.010194722 -0.821717901 +19 0.036701 -0.0540225 -0.770214969 +19.05 0.032585 -0.089846944 -0.667473765 +19.1 0.02744 -0.119478333 -0.57981821 +19.15 0.02058 -0.146823056 -0.499573148 +19.2 0.012691 -0.170928333 -0.376506019 +19.25 0.00343 -0.190365 -0.139264352 +19.3 -0.0073745 -0.18865 0.167635957 +19.35 -0.0162925 -0.168165278 0.378041049 +19.4 -0.02401 -0.1466325 0.491421605 +19.45 -0.0313845 -0.117763333 0.564732562 +19.5 -0.0358435 -0.086416944 0.576430556 +19.55 -0.0392735 -0.066122778 0.688805401 +19.6 -0.043904 -0.020198889 0.843843519 +19.65 -0.04116 0.025343889 0.86581034 +19.7 -0.04116 0.067933056 0.828016821 +19.75 -0.0348145 0.114905 0.651170679 +19.8 -0.0282975 0.135770833 0.430232099 +19.85 -0.020923 0.150348333 0.333842747 +19.9 -0.0135485 0.166355 0.275935031 +19.95 -0.0046305 0.185505833 0.08702037 +20 0.006174 0.18179 -0.221732562 +20.05 0.0145775 0.157113056 -0.427056173 +20.1 0.021609 0.133198333 -0.520375463 +20.15 0.0279545 0.106234722 -0.611048148 +20.2 0.032585 0.072792222 -0.701667901 +20.25 0.0355005 0.033728333 -0.748354012 +20.3 0.0358435 -0.0042875 -0.747560031 +20.35 0.034986 -0.040874167 -0.735862037 +20.4 0.031899 -0.078794722 -0.699762346 +20.45 0.0269255 -0.11319 -0.614171142 +20.5 0.020237 -0.140439444 -0.502802006 +20.55 0.013034 -0.166545556 -0.323150463 +20.6 0.0029155 -0.177978889 -0.052561574 +20.65 -0.005831 -0.168165278 0.155514506 +20.7 -0.01372 -0.157684722 0.273341358 +20.75 -0.0217805 -0.1414875 0.379999537 +20.8 -0.0282975 -0.118335 0.458815432 +20.85 -0.033614 -0.093562778 0.522281019 +20.9 -0.0372155 -0.071934722 0.68398858 +20.95 -0.041846 -0.03087 0.91551358 +21 -0.0416745 0.032966111 0.899422222 +21.05 -0.037044 0.071553611 0.651382407 +21.1 -0.0334425 0.090132778 0.510847685 +21.15 -0.028812 0.117382222 0.457439198 +21.2 -0.021609 0.141296944 0.330296296 +21.25 -0.0138915 0.151205833 0.19166713 +21.3 -0.0063455 0.1569225 0.100676852 +21.35 0.001715 0.161305278 -0.002434877 +21.4 0.0097755 0.162734444 -0.212945833 +21.45 0.0190365 0.143393056 -0.480835185 +21.5 0.0248675 0.108045 -0.629944907 +21.55 0.029498 0.075745833 -0.68070679 +21.6 0.032585 0.0403025 -0.715271451 +21.65 0.033614 0.003525278 -0.727181173 +21.7 0.032928 -0.033251944 -0.71701821 +21.75 0.0303555 -0.070219722 -0.666362191 +21.8 0.0255535 -0.100994444 -0.588340278 +21.85 0.0200655 -0.127291111 -0.520216667 +21.9 0.0132055 -0.157017778 -0.367189969 +21.95 0.0036015 -0.170547222 -0.095965895 +22 -0.004802 -0.164449444 0.139529012 +22.05 -0.013034 -0.151491667 0.279904938 +22.1 -0.0200655 -0.134246389 0.369889506 +22.15 -0.026411 -0.115953056 0.47617716 +22.2 -0.0320705 -0.088798889 0.609777778 +22.25 -0.0358435 -0.051545278 0.677054475 +22.3 -0.037044 -0.016197222 0.65297037 +22.35 -0.037044 0.012290833 0.639949074 +22.4 -0.0361865 0.046305 0.642966204 +22.45 -0.0324135 0.079556944 0.591622068 +22.5 -0.0279545 0.107282778 0.504813426 +22.55 -0.0214375 0.129958889 0.407153704 +22.6 -0.014749 0.146918333 0.310287963 +22.65 -0.0070315 0.1654975 0.125449074 +22.7 0.002744 0.16464 -0.148845062 +22.75 0.01029 0.146156111 -0.343635185 +22.8 0.0173215 0.125004444 -0.436689815 +22.85 0.0228095 0.101851944 -0.502431481 +22.9 0.0276115 0.076031667 -0.582147222 +22.95 0.0306985 0.044018333 -0.662974537 +23 0.032242 0.007431667 -0.695633642 +23.05 0.0313845 -0.028488056 -0.667314969 +23.1 0.029155 -0.059929722 -0.616023765 +23.15 0.025382 -0.089846944 -0.562191821 +23.2 0.0200655 -0.117286944 -0.481311574 +23.25 0.013377 -0.138438611 -0.375394444 +23.3 0.0063455 -0.158446944 -0.195001852 +23.35 -0.0032585 -0.161972222 0.058225309 +23.4 -0.010633 -0.148823889 0.245604938 +23.45 -0.0180075 -0.134436944 0.367189969 +23.5 -0.0245245 -0.111093889 0.45320463 +23.55 -0.029155 -0.086226389 0.483005401 +23.6 -0.032928 -0.0643125 0.540701389 +23.65 -0.036015 -0.033633056 0.626557253 +23.7 -0.0361865 -0.002858333 0.722152623 +23.75 -0.037044 0.040778889 0.75862284 +23.8 -0.0320705 0.082605833 0.613906481 +23.85 -0.0276115 0.103185833 0.437325 +23.9 -0.0217805 0.121574444 0.332254784 +23.95 -0.015435 0.136437778 0.235441975 +24 -0.007889 0.1466325 0.116609414 +24.05 -0.000343 0.14749 -0.005822531 +24.1 0.0066885 0.147966389 -0.169065123 +24.15 0.015092 0.134436944 -0.394026543 +24.2 0.020923 0.105091389 -0.551023148 +24.25 0.0255535 0.074221389 -0.607607562 +24.3 0.0282975 0.043065556 -0.625551543 +24.35 0.029841 0.012290833 -0.644660031 +24.4 0.0296695 -0.021056389 -0.667103241 +24.45 0.027783 -0.0557375 -0.657575463 +24.5 0.02401 -0.0883225 -0.60252608 +24.55 0.0190365 -0.120145278 -0.459397685 +24.6 0.011319 -0.137866944 -0.24565787 +24.65 0.0046305 -0.142154444 -0.072411111 +24.7 -0.0029155 -0.142821389 0.054308333 +24.75 -0.009947 -0.1363425 0.158955093 +24.8 -0.016807 -0.125480833 0.243275926 +24.85 -0.0224665 -0.111856111 0.337124537 +24.9 -0.027783 -0.098707778 0.538531173 +24.95 -0.033957 -0.056976111 0.70616713 +25 -0.0334425 -0.015053889 0.640213735 +25.05 -0.0343 0.007812778 0.543612654 +25.1 -0.032928 0.033728333 0.528103549 +25.15 -0.0310415 0.060120278 0.52333966 +25.2 -0.027097 0.089465833 0.459927006 +25.25 -0.021609 0.109283611 0.333631019 +25.3 -0.015778 0.1209075 0.231313272 +25.35 -0.009604 0.131673889 0.13693534 +25.4 -0.002401 0.136628333 0.011168673 +25.45 0.004459 0.133484167 -0.127725154 +25.5 0.011319 0.121860278 -0.241529167 +25.55 0.016464 0.110236389 -0.372112654 +25.6 0.0228095 0.088227222 -0.553987346 +25.65 0.026068 0.051354722 -0.664033179 +25.7 0.027783 0.015911389 -0.658104784 +25.75 0.02744 -0.015911389 -0.609566049 +25.8 0.026068 -0.044113611 -0.572778241 +25.85 0.022981 -0.071934722 -0.554516667 +25.9 0.018865 -0.098898333 -0.528474074 +25.95 0.0135485 -0.131006944 -0.37931142 +26 0.004802 -0.143869444 -0.10390571 +26.05 -0.0018865 -0.136247222 0.086226389 +26.1 -0.008575 -0.129196667 0.165042284 +26.15 -0.014749 -0.1209075 0.241264506 +26.2 -0.0210945 -0.106044167 0.332360648 +26.25 -0.0255535 -0.085464167 0.400166667 +26.3 -0.029155 -0.070315 0.536043364 +26.35 -0.0337855 -0.033633056 0.686741049 +26.4 -0.0327565 0.0077175 0.663133333 +26.45 -0.032242 0.036205556 0.558221914 +26.5 -0.029155 0.062788056 0.45119321 +26.55 -0.0255535 0.080319167 0.366290123 +26.6 -0.0210945 0.096992778 0.325638272 +26.65 -0.0159495 0.113666389 0.268418673 +26.7 -0.009604 0.126814722 0.160331327 +26.75 -0.002744 0.130149444 0.036470216 +26.8 0.0036015 0.128053333 -0.061348302 +26.85 0.0097755 0.127386389 -0.221044444 +26.9 0.01715 0.110331667 -0.448281944 +26.95 0.021609 0.077556111 -0.581353241 +27 0.024696 0.046209722 -0.596333025 +27.05 0.026068 0.017245278 -0.580347531 +27.1 0.026411 -0.010861667 -0.572672377 +27.15 0.025039 -0.039635556 -0.572037191 +27.2 0.0224665 -0.069076389 -0.546629784 +27.25 0.0180075 -0.095468333 -0.482846605 +27.3 0.013034 -0.121383889 -0.336648148 +27.35 0.005145 -0.132626667 -0.124919753 +27.4 -0.0008575 -0.130244722 0.024242901 +27.45 -0.0077175 -0.127672222 0.114650926 +27.5 -0.014063 -0.117572778 0.17605216 +27.55 -0.0193795 -0.107854444 0.212257716 +27.6 -0.024353 -0.103376389 0.371318673 +27.65 -0.0310415 -0.074697778 0.58839321 +27.7 -0.0324135 -0.034871667 0.635132253 +27.75 -0.0337855 -0.005811944 0.577489198 +27.8 -0.0327565 0.018865 0.570819753 +27.85 -0.032242 0.048686944 0.599508951 +27.9 -0.028126 0.08232 0.554252006 +27.95 -0.0238385 0.110712778 0.380740586 +28 -0.0162925 0.123575278 0.147204167 +28.05 -0.010633 0.119478333 0.014662191 +28.1 -0.004802 0.120526389 -0.035782099 +28.15 0.001372 0.120145278 -0.145192747 +28.2 0.007889 0.107854444 -0.281122377 +28.25 0.0125195 0.087465 -0.340141667 +28.3 0.0162925 0.072315833 -0.376453086 +28.35 0.019894 0.052212222 -0.453945679 +28.4 0.0214375 0.031918056 -0.600091204 +28.45 0.0245245 -0.012386111 -0.655669907 +28.5 0.019551 -0.046114444 -0.488669136 +28.55 0.018522 -0.056023333 -0.384710494 +28.6 0.015092 -0.080890833 -0.338659568 +28.65 0.009947 -0.096230556 -0.209399383 +28.7 0.004459 -0.09604 -0.173723148 +28.75 0.001372 -0.110331667 -0.177957716 +28.8 -0.006517 -0.123765833 -0.015350309 +28.85 -0.012348 -0.11319 0.173035031 +28.9 -0.017836 -0.100803889 0.276729012 +28.95 -0.0224665 -0.083844444 0.347499228 +29 -0.0258965 -0.070696111 0.471942593 +29.05 -0.03087 -0.035538611 0.565473611 +29.1 -0.0293265 -0.002191389 0.461091512 +29.15 -0.029498 0.005716667 0.435207716 +29.2 -0.029841 0.031822778 0.557375 +29.25 -0.0269255 0.067266111 0.576165895 +29.3 -0.0228095 0.098136111 0.432084722 +29.35 -0.0162925 0.112808889 0.221414969 +29.4 -0.0111475 0.116810556 0.065424074 +29.45 -0.0046305 0.118620833 -0.062724537 +29.5 0.001372 0.108235556 -0.143128395 +29.55 0.005831 0.102423611 -0.192778704 +29.6 0.011662 0.093562778 -0.316163426 +29.65 0.0159495 0.070696111 -0.42774429 +29.7 0.018865 0.045638056 -0.455851235 +29.75 0.020237 0.022866667 -0.447593827 +29.8 0.02058 0.008289167 -0.543400926 +29.85 0.022638 -0.031822778 -0.610571759 +29.9 0.0173215 -0.068409444 -0.412446914 +29.95 0.0138915 -0.073078056 -0.215168981 +30 0.009947 -0.075269444 -0.254762191 +30.05 0.0077175 -0.097564444 -0.317380864 +30.1 0.0001715 -0.12005 -0.161707562 +30.15 -0.005831 -0.115095556 0.035358642 +30.2 -0.0111475 -0.1106175 0.14805108 +30.25 -0.0169785 -0.1003275 0.250368827 +30.3 -0.021266 -0.088227222 0.378835031 +30.35 -0.026754 -0.059453333 0.462097222 +30.4 -0.0265825 -0.037825278 0.46532608 +30.45 -0.0303555 -0.019436667 0.553193364 +30.5 -0.030184 0.0248675 0.519740278 +30.55 -0.0258965 0.037825278 0.401437037 +30.6 -0.026411 0.05145 0.484593364 +30.65 -0.022638 0.092895833 0.445317747 +30.7 -0.0156065 0.108521389 0.196801543 +30.75 -0.0108045 0.106234722 0.035887963 +30.8 -0.005488 0.107568611 -0.046791975 +30.85 0.0001715 0.103662222 -0.138893827 +30.9 0.0053165 0.092324167 -0.195054784 +30.95 0.0094325 0.080414444 -0.193308025 +31 0.013034 0.073173333 -0.214163272 +31.05 0.016464 0.067551944 -0.3901625 +31.1 0.020923 0.0403025 -0.658369444 +31.15 0.0217805 -0.010004167 -0.70616713 +31.2 0.018865 -0.042875 -0.509524383 +31.25 0.0166355 -0.058500556 -0.330613889 +31.3 0.013034 -0.0711725 -0.238882562 +31.35 0.009261 -0.078699444 -0.224696759 +31.4 0.0056595 -0.094039167 -0.205164815 +31.45 -0.000343 -0.104710278 -0.088555401 +31.5 -0.005488 -0.1029 0.035517438 +31.55 -0.010633 -0.098517222 0.115391975 +31.6 -0.015435 -0.091371389 0.188014815 +31.65 -0.0200655 -0.078508889 0.24311713 +31.7 -0.022981 -0.068695278 0.328390741 +31.75 -0.02744 -0.048972778 0.465379012 +31.8 -0.028469 -0.0180075 0.526727315 +31.85 -0.028812 0.006669444 0.527891821 +31.9 -0.0279545 0.034585833 0.513282562 +31.95 -0.0252105 0.058976944 0.458550772 +32 -0.022295 0.084320833 0.332731173 +32.05 -0.016121 0.097183333 0.13164213 +32.1 -0.011319 0.088227222 0.081674228 +32.15 -0.0087465 0.100803889 0.103217593 +32.2 -0.0012005 0.110903333 -0.07818071 +32.25 0.0039445 0.093658056 -0.282763272 +32.3 0.007889 0.076603333 -0.389844907 +32.35 0.011662 0.055642222 -0.476230093 +32.4 0.0142345 0.023438333 -0.437272068 +32.45 0.013377 0.003620556 -0.259049691 +32.5 0.0135485 0.002286667 -0.178751698 +32.55 0.01372 -0.002286667 -0.310446759 +32.6 0.014406 -0.025534444 -0.492162654 +32.65 0.0121765 -0.0660275 -0.41991034 +32.7 0.0060025 -0.076031667 -0.186744444 +32.75 0.0039445 -0.073649722 -0.12232608 +32.8 -0.000343 -0.084987778 -0.120102932 +32.85 -0.004802 -0.091466667 -0.042822068 +32.9 -0.0101185 -0.088798889 0.031970988 +32.95 -0.01372 -0.083558611 0.050338426 +33 -0.0176645 -0.089084722 0.16594213 +33.05 -0.023667 -0.074983611 0.414034877 +33.1 -0.0262395 -0.041255278 0.556051698 +33.15 -0.0272685 -0.012576667 0.569337654 +33.2 -0.0272685 0.013053056 0.586222994 +33.25 -0.026754 0.049258611 0.523551389 +33.3 -0.0217805 0.074221389 0.305841667 +33.35 -0.018179 0.077270278 0.131218673 +33.4 -0.0142345 0.081081389 0.073205093 +33.45 -0.009947 0.081748333 0.078021914 +33.5 -0.006517 0.0900375 0.069288117 +33.55 -0.000686 0.093276944 -0.018049846 +33.6 0.00343 0.086035833 -0.078762963 +33.65 0.007546 0.083368056 -0.124019907 +33.7 0.011662 0.0797475 -0.28323966 +33.75 0.0162925 0.060025 -0.522016358 +33.8 0.018522 0.0231525 -0.660169136 +33.85 0.018865 -0.017816944 -0.563726852 +33.9 0.015778 -0.040683611 -0.318810031 +33.95 0.01372 -0.043065556 -0.17779892 +34 0.012005 -0.051164167 -0.175416975 +34.05 0.008918 -0.063645556 -0.157684722 +34.1 0.004802 -0.065074722 -0.179281019 +34.15 0.0029155 -0.075174167 -0.282498611 +34.2 -0.0015435 -0.102995278 -0.203682716 +34.25 -0.0087465 -0.106520556 0.073046296 +34.3 -0.0132055 -0.089751667 0.255026852 +34.35 -0.017493 -0.074126111 0.307535494 +34.4 -0.0207515 -0.055928056 0.302718673 +34.45 -0.022295 -0.0488775 0.384975154 +34.5 -0.026411 -0.026773056 0.610571759 +34.55 -0.0265825 0.022199722 0.65069429 +34.6 -0.022981 0.051831111 0.435684105 +34.65 -0.0204085 0.061930556 0.251109877 +34.7 -0.0173215 0.07546 0.1029 +34.75 -0.0118335 0.071077222 0.011168673 +34.8 -0.0101185 0.065932222 0.114545062 +34.85 -0.006517 0.082796389 0.20881713 +34.9 -0.0015435 0.095087222 0.138682099 +34.95 0.003087 0.1037575 -0.08876713 +35 0.0097755 0.090895 -0.403977778 +35.05 0.0132055 0.057166667 -0.583311728 +35.1 0.0156065 0.020770556 -0.523286728 +35.15 0.0145775 -0.002096111 -0.320874383 +35.2 0.014406 -0.006193056 -0.203259259 +35.25 0.0142345 -0.013529444 -0.248833796 +35.3 0.01372 -0.031918056 -0.296049228 +35.35 0.0108045 -0.047734167 -0.262119753 +35.4 0.0087465 -0.058691111 -0.210140432 +35.45 0.0049735 -0.069648056 -0.148739198 +35.5 0.001029 -0.068695278 -0.163613117 +35.55 -0.0008575 -0.084225556 -0.188279475 +35.6 -0.007203 -0.100136944 0.009157253 +35.65 -0.0125195 -0.086702778 0.265719136 +35.7 -0.0162925 -0.063455 0.349351852 +35.75 -0.0183505 -0.046590833 0.325426543 +35.8 -0.0207515 -0.0334425 0.32558534 +35.85 -0.021952 -0.016483056 0.366025463 +35.9 -0.022638 0.004859167 0.381481636 +35.95 -0.021266 0.023438333 0.362320216 +36 -0.020237 0.040588333 0.342947068 +36.05 -0.0173215 0.058691111 0.306053395 +36.1 -0.014063 0.071648889 0.25852037 +36.15 -0.0101185 0.0831775 0.221362037 +36.2 -0.0060025 0.096992778 0.12031466 +36.25 0.0001715 0.099184167 -0.054837654 +36.3 0.004459 0.089465833 -0.198971759 +36.35 0.0090895 0.077746667 -0.309282253 +36.4 0.012691 0.056976111 -0.383228395 +36.45 0.0145775 0.038015833 -0.418375309 +36.5 0.0166355 0.016197222 -0.445053086 +36.55 0.016807 -0.013243611 -0.34929892 +36.6 0.0142345 -0.023628889 -0.188014815 +36.65 0.0135485 -0.020198889 -0.232371914 +36.7 0.0135485 -0.038682778 -0.410012037 +36.75 0.010633 -0.073173333 -0.382169753 +36.8 0.0049735 -0.086798056 -0.167688889 +36.85 0.0012005 -0.084987778 -0.015826698 +36.9 -0.0032585 -0.084130278 0.057854784 +36.95 -0.0073745 -0.079366389 0.115339043 +37 -0.011319 -0.072601667 0.170653086 +37.05 -0.014749 -0.062216389 0.228031481 +37.1 -0.017493 -0.051259444 0.302030556 +37.15 -0.0204085 -0.030774722 0.341147377 +37.2 -0.02058 -0.011528611 0.2872625 +37.25 -0.020923 -0.001905556 0.241952623 +37.3 -0.0204085 0.002953611 0.353268827 +37.35 -0.0221235 0.032394444 0.471466204 +37.4 -0.0173215 0.064407778 0.339347685 +37.45 -0.014063 0.0686 0.14879213 +37.5 -0.010633 0.072506389 0.061507099 +37.55 -0.00686 0.074411944 -0.003811111 +37.6 -0.0029155 0.071839444 -0.048697531 +37.65 0.000343 0.068504722 -0.07616929 +37.7 0.0039445 0.063836111 -0.094960185 +37.75 0.0066885 0.060120278 -0.134712191 +37.8 0.01029 0.050306667 -0.192249383 +37.85 0.011319 0.043541944 -0.295678704 +37.9 0.0152635 0.026010833 -0.473795216 +37.95 0.0152635 -0.014863333 -0.459979938 +38 0.0118335 -0.024772222 -0.338765432 +38.05 0.013377 -0.041826944 -0.303724383 +38.1 0.008232 -0.064503056 -0.123278858 +38.15 0.004802 -0.052021667 -0.000105864 +38.2 0.003773 -0.051640556 -0.094430864 +38.25 0.0005145 -0.064407778 -0.151279938 +38.3 -0.003087 -0.072982778 -0.094695525 +38.35 -0.0070315 -0.074888333 0.005663735 +38.4 -0.0104615 -0.076126944 0.16821821 +38.45 -0.0159495 -0.054689444 0.272547377 +38.5 -0.0152635 -0.042303333 0.266936574 +38.55 -0.0197225 -0.035443333 0.370683488 +38.6 -0.020237 -0.005145 0.458286111 +38.65 -0.019894 0.019436667 0.391009414 +38.7 -0.0176645 0.0343 0.301554167 +38.75 -0.016464 0.046495556 0.251797994 +38.8 -0.0132055 0.060691944 0.185844599 +38.85 -0.009947 0.066313333 0.101206173 +38.9 -0.006517 0.069933889 0.031865123 +38.95 -0.002744 0.068695278 -0.022019753 +39 0.000343 0.066694444 -0.053990741 +39.05 0.0039445 0.064407778 -0.111475 +39.1 0.0070315 0.055928056 -0.184785957 +39.15 0.009261 0.049735 -0.311558333 +39.2 0.0132055 0.023057222 -0.390374228 +39.25 0.0114905 -0.000952778 -0.274876389 +39.3 0.011662 -0.002191389 -0.202359414 +39.35 0.0114905 -0.0077175 -0.341359105 +39.4 0.0125195 -0.039254444 -0.418798765 +39.45 0.0073745 -0.066694444 -0.204370833 +39.5 0.0039445 -0.060596667 0.024242901 +39.55 0.001029 -0.048782222 -0.01413287 +39.6 0.0001715 -0.054784722 -0.182033488 +39.65 -0.00343 -0.078699444 -0.147415895 +39.7 -0.008918 -0.080986111 0.100729784 +39.75 -0.0125195 -0.063931389 0.28170463 +39.8 -0.0152635 -0.044685278 0.315210648 +39.85 -0.0166355 -0.030679444 0.300918981 +39.9 -0.018179 -0.018483889 0.335801235 +39.95 -0.0190365 0.001905556 0.377247068 +40 -0.0183505 0.027344722 0.290385494 +40.05 -0.0149205 0.031155833 0.195478241 +40.1 -0.015435 0.036396111 0.266460185 +40.15 -0.012691 0.064121944 0.239676543 +40.2 -0.0073745 0.065265278 0.123914043 +40.25 -0.006517 0.071077222 0.071511265 +40.3 -0.000686 0.079175833 -0.09458966 +40.35 0.002744 0.063264444 -0.257038272 +40.4 0.0060025 0.042493889 -0.219721142 +40.45 0.0063455 0.032489722 -0.036999537 +40.5 0.0077175 0.048496389 -0.027365895 +40.55 0.012348 0.04459 -0.287474228 +40.6 0.0135485 0.0145775 -0.467760957 +40.65 0.013377 -0.0111475 -0.465802469 +40.7 0.012691 -0.038778056 -0.318386574 +40.75 0.0084035 -0.046019167 -0.120208796 +40.8 0.007203 -0.037920556 -0.141805093 +40.85 0.0063455 -0.057166667 -0.219774074 +40.9 0.0012005 -0.071458333 -0.11121034 +40.95 -0.0018865 -0.068028333 0.006404784 +41 -0.0053165 -0.066503889 0.062459877 +41.05 -0.008575 -0.062692778 0.124443364 +41.1 -0.0118335 -0.054403611 0.188438272 +41.15 -0.014063 -0.043923056 0.253333025 +41.2 -0.016464 -0.028678611 0.307747222 +41.25 -0.0169785 -0.011242778 0.316375154 +41.3 -0.017493 0.003620556 0.29710787 +41.35 -0.0169785 0.023057222 0.20177716 +41.4 -0.014063 0.023438333 0.120367593 +41.45 -0.014749 0.025820278 0.195742901 +41.5 -0.0125195 0.044971111 0.23882963 +41.55 -0.0097755 0.056499722 0.165254012 +41.6 -0.006517 0.061835278 0.070664352 +41.65 -0.00343 0.061644722 0.006881173 +41.7 -0.000343 0.061644722 -0.040387191 +41.75 0.0029155 0.056690278 -0.07818071 +41.8 0.004802 0.058500556 -0.182298148 +41.85 0.0101185 0.038396944 -0.279534414 +41.9 0.008575 0.019150833 -0.202200617 +41.95 0.01029 0.025629722 -0.247986883 +42 0.012691 0.005811944 -0.461144444 +42.05 0.0121765 -0.0343 -0.436160494 +42.1 0.0077175 -0.049735 -0.200771451 +42.15 0.006174 -0.045638056 -0.094801389 +42.2 0.0039445 -0.052212222 -0.113645216 +42.25 0.001029 -0.059643889 -0.101470833 +42.3 -0.002058 -0.066503889 -0.01741466 +42.35 -0.006174 -0.062502222 0.09030216 +42.4 -0.008575 -0.053165 0.125237346 +42.45 -0.0111475 -0.048401111 0.132065586 +42.5 -0.013377 -0.043446667 0.192725772 +42.55 -0.0159495 -0.030298333 0.269265586 +42.6 -0.0166355 -0.0128625 0.281334105 +42.65 -0.0169785 0.000571667 0.243646451 +42.7 -0.0162925 0.009337222 0.237400463 +42.75 -0.0162925 0.021818611 0.271012346 +42.8 -0.014406 0.038968611 0.264713426 +42.85 -0.012005 0.050306667 0.217286265 +42.9 -0.009261 0.059072222 0.175628704 +42.95 -0.006517 0.071458333 0.06987037 +43 -0.001372 0.070600833 -0.101682562 +43.05 0.0015435 0.052688611 -0.136353086 +43.1 0.0025725 0.053831944 -0.11904429 +43.15 0.0070315 0.051926389 -0.267254167 +43.2 0.0094325 0.0231525 -0.339030093 +43.25 0.008575 0.006383611 -0.208552469 +43.3 0.009261 0.004573333 -0.108669599 +43.35 0.009261 9.53E-05 -0.097659722 +43.4 0.008918 0.001143333 -0.212892901 +43.45 0.010633 -0.021056389 -0.33468966 +43.5 0.006517 -0.039445 -0.318651235 +43.55 0.006517 -0.054403611 -0.252909568 +43.6 0.0012005 -0.069076389 -0.102264815 +43.65 -0.0015435 -0.062692778 0.013233025 +43.7 -0.0046305 -0.062502222 0.038534568 +43.75 -0.0077175 -0.061358889 0.095066049 +43.8 -0.0111475 -0.053927222 0.153185494 +43.85 -0.013377 -0.042493889 0.155885031 +43.9 -0.015092 -0.035729167 0.133018364 +43.95 -0.0162925 -0.037063056 0.24740463 +44 -0.019894 -0.018579167 0.471413272 +44.05 -0.019551 0.0231525 0.458127315 +44.1 -0.016121 0.040111944 0.213528086 +44.15 -0.014406 0.036586667 0.087920216 +44.2 -0.013034 0.039730833 0.122590741 +44.25 -0.010976 0.05145 0.133018364 +44.3 -0.007546 0.058214722 0.058913426 +44.35 -0.0046305 0.0557375 -0.001058642 +44.4 -0.0022295 0.0557375 -0.027048302 +44.45 0.0008575 0.056023333 -0.097977315 +44.5 0.0039445 0.046400278 -0.174675926 +44.55 0.005488 0.035633889 -0.200400926 +44.6 0.0073745 0.026201389 -0.210881481 +44.65 0.0084035 0.013434167 -0.204900154 +44.7 0.0084035 0.004573333 -0.192143519 +44.75 0.0084035 0.001715 -0.294884722 +44.8 0.0101185 -0.026010833 -0.366819444 +44.85 0.005488 -0.048115278 -0.215857099 +44.9 0.003773 -0.044685278 -0.101788426 +44.95 0.001715 -0.0505925 -0.108722531 +45 -0.001029 -0.058976944 -0.071034877 +45.05 -0.0046305 -0.060310833 0.00227608 +45.1 -0.0073745 -0.056499722 0.052138117 +45.15 -0.0101185 -0.053069722 0.082415278 +45.2 -0.0121765 -0.055451667 0.223902778 +45.25 -0.01715 -0.032489722 0.377511728 +45.3 -0.015778 -0.003525278 0.280645988 +45.35 -0.0159495 -0.001429167 0.129101389 +45.4 -0.0159495 0.000762222 0.126243056 +45.45 -0.0159495 0.003906389 0.254444599 +45.5 -0.016807 0.029155 0.333842747 +45.55 -0.012691 0.048686944 0.209346451 +45.6 -0.0108045 0.048591667 0.09406034 +45.65 -0.008232 0.052974444 0.057907716 +45.7 -0.005488 0.055451667 0.012333179 +45.75 -0.0025725 0.0557375 -0.054149537 +45.8 0.000343 0.050497222 -0.127037037 +45.85 0.002744 0.0403025 -0.151544599 +45.9 0.004116 0.033728333 -0.148845062 +45.95 0.0060025 0.028392778 -0.19420787 +46 0.0073745 0.015625556 -0.259790741 +46.05 0.0077175 -0.000381111 -0.273235494 +46.1 0.007203 -0.014101111 -0.23708287 +46.15 0.006174 -0.0248675 -0.182668673 +46.2 0.004459 -0.030774722 -0.154773457 +46.25 0.0032585 -0.038778056 -0.154879321 +46.3 0.000686 -0.047924722 -0.132541975 +46.35 -0.0018865 -0.0523075 -0.095224846 +46.4 -0.004459 -0.056213889 -0.058225309 +46.45 -0.0070315 -0.065360556 0.099141821 +46.5 -0.0125195 -0.047829444 0.270006636 +46.55 -0.012005 -0.026391944 0.22951358 +46.6 -0.014063 -0.022676111 0.137623457 +46.65 -0.014406 -0.017626389 0.115868364 +46.7 -0.0159495 -0.012671944 0.131959722 +46.75 -0.0159495 -0.002000833 0.128307407 +46.8 -0.015435 -0.002477222 0.181557099 +46.85 -0.016807 0.009908889 0.335907099 +46.9 -0.015092 0.033918889 0.418375309 +46.95 -0.01372 0.062216389 0.29885463 +47 -0.007889 0.071744167 0.028530401 +47.05 -0.0053165 0.057643056 -0.117244599 +47.1 -0.002744 0.051831111 -0.113010031 +47.15 -0.000343 0.048686944 -0.137358796 +47.2 0.0022295 0.042684444 -0.230360494 +47.25 0.004459 0.0265825 -0.317169136 +47.3 0.0056595 1.24E-16 -0.207599691 +47.35 0.003087 -0.0025725 0.03027716 +47.4 0.0039445 0.018865 -0.008733796 +47.45 0.00686 0.008860833 -0.266513117 +47.5 0.005831 -0.019436667 -0.340512191 +47.55 0.0039445 -0.033728333 -0.260372994 +47.6 0.002058 -0.041541111 -0.217339198 +47.65 0 -0.050973611 -0.226919907 +47.7 -0.0022295 -0.071363056 -0.112586574 +47.75 -0.008232 -0.071363056 0.145457407 +47.8 -0.0108045 -0.046590833 0.226284722 +47.85 -0.0118335 -0.03773 0.11676821 +47.9 -0.01372 -0.042398611 0.115815432 +47.95 -0.0169785 -0.033251944 0.229989969 +48 -0.0176645 -0.013243611 0.248780864 +48.05 -0.0176645 -0.003239444 0.181027778 +48.1 -0.0176645 0.001524444 0.16318966 +48.15 -0.0176645 0.008193889 0.226602315 +48.2 -0.017493 0.026201389 0.256667747 +48.25 -0.014749 0.039254444 0.188491204 +48.3 -0.0132055 0.045066389 0.11703287 +48.35 -0.0101185 0.048591667 0.085538272 +48.4 -0.008232 0.049830278 0.109622377 +48.45 -0.0060025 0.063931389 0.054149537 +48.5 -0.001029 0.063264444 -0.13619429 +48.55 0.001372 0.043923056 -0.221785494 +48.6 0.0025725 0.035633889 -0.208446605 +48.65 0.0049735 0.026106111 -0.226178858 +48.7 0.005488 0.012767222 -0.234224537 +48.75 0.006174 0.000571667 -0.214533796 +48.8 0.0053165 -0.008003333 -0.212681173 +48.85 0.0053165 -0.016959444 -0.268206944 +48.9 0.004116 -0.034395278 -0.306794444 +48.95 0.002401 -0.0574525 -0.172929167 +49 -0.0029155 -0.058405278 0.064788889 +49.05 -0.004802 -0.036015 0.053567284 +49.1 -0.004459 -0.046019167 -0.080933179 +49.15 -0.009261 -0.058405278 0.012439043 +49.2 -0.0118335 -0.046590833 0.153238426 +49.25 -0.0135485 -0.037063056 0.202994599 +49.3 -0.015435 -0.027725833 0.247722222 +49.35 -0.01715 -0.007145833 0.19595463 +49.4 -0.015092 -0.004192222 0.095542438 +49.45 -0.0169785 -0.008956111 0.183515586 +49.5 -0.017493 0.010004167 0.336330556 +49.55 -0.016464 0.038015833 0.269371451 +49.6 -0.012005 0.039349722 0.135559105 +49.65 -0.013034 0.044875833 0.099194753 +49.7 -0.007889 0.055070556 -0.012280247 +49.75 -0.005831 0.038111111 -0.023819444 +49.8 -0.0056595 0.046781389 0.05372608 +49.85 -0.0012005 0.054498889 -0.050126698 +49.9 0.001029 0.042208056 -0.162448611 +49.95 0.002744 0.032680278 -0.186691512 +50 0.0042875 0.022295 -0.18033966 +50.05 0.004802 0.015530278 -0.189496914 +50.1 0.005831 0.00686 -0.252856636 +50.15 0.0060025 -0.009718333 -0.300177932 +50.2 0.0053165 -0.032775556 -0.183991975 +50.25 0.0012005 -0.0300125 -0.036734877 +50.3 0.0022295 -0.024676944 -0.09104321 +50.35 -0.0001715 -0.038396944 -0.154773457 +50.4 -0.0018865 -0.046114444 -0.10946358 +50.45 -0.004459 -0.058119444 0.082362346 +50.5 -0.0097755 -0.034109444 0.201830093 +50.55 -0.007203 -0.021246944 0.028318673 +50.6 -0.01029 -0.035919722 -0.073734414 +50.65 -0.011662 -0.037539444 -0.01159213 +50.7 -0.0138915 -0.040588333 0.138629167 +50.75 -0.0166355 -0.024772222 0.313675617 +50.8 -0.0166355 -0.002381944 0.35056929 +50.85 -0.016464 0.012767222 0.318968827 +50.9 -0.015778 0.033918889 0.196166358 +50.95 -0.0118335 0.032108611 0.074793056 +51 -0.013034 0.036205556 0.058278241 +51.05 -0.0080605 0.038492222 0.047797685 +51.1 -0.0087465 0.034490556 0.13592963 +51.15 -0.0063455 0.058500556 0.092684105 +51.2 -0.0015435 0.056213889 -0.156573148 +51.25 0.000343 0.036681944 -0.29356142 +51.3 0.0022295 0.012957778 -0.189073457 +51.35 0 0.017626389 -0.068070679 +51.4 0.0042875 0.0180075 -0.153979475 +51.45 0.0025725 0.0042875 -0.280857716 +51.5 0.0049735 -0.0145775 -0.323679784 +51.55 0.001372 -0.037825278 -0.182562809 +51.6 -0.000343 -0.032966111 -0.027895216 +51.65 -0.0015435 -0.033061389 -0.006510648 +51.7 -0.0036015 -0.033061389 -0.00529321 +51.75 -0.004802 -0.033347222 -0.022654938 +51.8 -0.0066885 -0.038873333 0.012491975 +51.85 -0.0097755 -0.027058889 -0.025619136 +51.9 -0.007889 -0.039445 -0.084109105 +51.95 -0.0138915 -0.04802 0.072728704 +52 -0.0142345 -0.0300125 0.200824383 +52.05 -0.016121 -0.022676111 0.241529167 +52.1 -0.0169785 -0.0060025 0.26910679 +52.15 -0.016464 0.0060025 0.2529625 +52.2 -0.0162925 0.01715 0.2529625 +52.25 -0.015435 0.036777222 0.148845062 +52.3 -0.011662 0.0385875 -0.050708951 +52.35 -0.0104615 0.021913889 -0.074052006 +52.4 -0.0104615 0.021246944 0.075745833 +52.45 -0.009261 0.036205556 0.121902623 +52.5 -0.006174 0.041636389 0.021384568 +52.55 -0.004459 0.035348056 -0.05017963 +52.6 -0.003087 0.034204722 -0.083368056 +52.65 -0.0008575 0.029250278 -0.142916667 +52.7 0.0001715 0.018674444 -0.176687346 +52.75 0.0008575 0.009908889 -0.178487037 +52.8 0.0012005 0.000476389 -0.166100926 +52.85 0.0008575 -0.007431667 -0.137676389 +52.9 0.000343 -0.013243611 -0.109622377 +52.95 -0.0005145 -0.017912222 -0.086120525 +53 -0.001372 -0.022199722 -0.067276698 +53.05 -0.0029155 -0.025058056 -0.05017963 +53.1 -0.0042875 -0.021056389 -0.129154321 +53.15 -0.0036015 -0.040778889 -0.152497377 +53.2 -0.009261 -0.045256944 -0.008204475 +53.25 -0.008575 -0.039730833 0.116609414 +53.3 -0.013034 -0.034871667 0.249098457 +53.35 -0.013377 -0.007812778 0.240735185 +53.4 -0.0125195 -0.003525278 0.103005864 +53.45 -0.013377 -0.004859167 0.085697068 +53.5 -0.0135485 0.001333889 0.135664969 +53.55 -0.013377 0.010480556 0.167583025 +53.6 -0.0125195 0.020770556 0.151703395 +53.65 -0.010976 0.025439167 0.132806636 +53.7 -0.0101185 0.032299167 0.138735031 +53.75 -0.007889 0.040683611 0.123384722 +53.8 -0.005831 0.046019167 0.082044753 +53.85 -0.003087 0.047257778 0.053302623 +53.9 -0.0015435 0.053927222 -0.027207099 +53.95 0.0029155 0.049068056 -0.188279475 +54 0.0039445 0.031918056 -0.291867593 +54.05 0.005831 0.017721667 -0.335748302 +54.1 0.0063455 -0.006193056 -0.279269753 +54.15 0.004459 -0.015625556 -0.126984105 +54.2 0.004116 -0.013338889 -0.071405401 +54.25 0.0036015 -0.017721667 -0.108404938 +54.3 0.0025725 -0.026010833 -0.126454784 +54.35 0.0008575 -0.032489722 -0.111686728 +54.4 -0.0008575 -0.036681944 -0.092895833 +54.45 -0.002744 -0.0403025 -0.088079012 +54.5 -0.004459 -0.0505925 0.00529321 +54.55 -0.008918 -0.040874167 0.121002778 +54.6 -0.008232 -0.034204722 0.149956636 +54.65 -0.0125195 -0.025248611 0.147310031 +54.7 -0.0111475 -0.011528611 0.01513858 +54.75 -0.0118335 -0.028202222 -0.02445463 +54.8 -0.0149205 -0.027535278 0.170335494 +54.85 -0.015778 -0.007050556 0.30668858 +54.9 -0.0152635 0.011242778 0.298537037 +54.95 -0.0142345 0.022676111 0.249204321 +55 -0.0135485 0.038873333 0.143869444 +55.05 -0.009604 0.042398611 -0.036999537 +55.1 -0.0080605 0.02401 -0.025195679 +55.15 -0.0090895 0.036110278 0.064365432 +55.2 -0.003773 0.038111111 0.033876543 +55.25 -0.0049735 0.036205556 0.039804938 +55.3 -0.001029 0.046400278 -0.041234105 +55.35 0.0008575 0.035348056 -0.169170988 +55.4 0.0025725 0.023343056 -0.193519753 +55.45 0.0029155 0.013910556 -0.177163735 +55.5 0.003773 0.008003333 -0.185897531 +55.55 0.004116 -0.004001667 -0.201141975 +55.6 0.00343 -0.016387778 -0.146145525 +55.65 0.0018865 -0.018865 -0.088131944 +55.7 0.0015435 -0.020865833 -0.102211883 +55.75 0.0001715 -0.028773889 -0.122643673 +55.8 -0.001372 -0.036015 -0.092207716 +55.85 -0.0036015 -0.039921389 -0.022125617 +55.9 -0.0056595 -0.037634722 0.041975154 +55.95 -0.0073745 -0.034204722 0.078498302 +56 -0.0090895 -0.029821944 0.111051543 +56.05 -0.0104615 -0.023247778 0.140375926 +56.1 -0.0114905 -0.015053889 0.150591821 +56.15 -0.012005 -0.006383611 0.122643673 +56.2 -0.012005 -0.001333889 0.078127778 +56.25 -0.0118335 -0.000381111 0.079874537 +56.3 -0.0118335 -0.001143333 0.207123302 +56.35 -0.013377 0.021628056 0.299542747 +56.4 -0.009604 0.042970278 0.146251389 +56.45 -0.0073745 0.035443333 -0.007622222 +56.5 -0.006517 0.033347222 -0.022972531 +56.55 -0.004459 0.035062222 -0.048274074 +56.6 -0.0025725 0.031441667 -0.101576698 +56.65 -0.000686 0.018293333 -0.05976034 +56.7 -0.002058 0.024676944 -0.011697994 +56.75 0.0018865 0.029536111 -0.166736111 +56.8 0.002744 0.003239444 -0.248675 +56.85 0.0008575 -0.0025725 -0.201671296 +56.9 0.002744 -0.013148333 -0.183409722 +56.95 0 -0.026868333 -0.057590123 +57 -0.001029 -0.021628056 0.086808642 +57.05 -0.002744 -0.007336389 0.029165586 +57.1 -0.0008575 -0.009813611 -0.18108071 +57.15 -0.0025725 -0.032108611 -0.270800617 +57.2 -0.0042875 -0.051259444 -0.104964352 +57.25 -0.0094325 -0.040969444 0.060183796 +57.3 -0.007889 -0.0351575 0.065635802 +57.35 -0.0121765 -0.040493056 0.156679012 +57.4 -0.013377 -0.021246944 0.262013889 +57.45 -0.0138915 -0.008289167 0.251745062 +57.5 -0.014406 0.007526944 0.162131019 +57.55 -0.012691 0.012767222 -0.004499228 +57.6 -0.012005 -0.000762222 -0.015297377 +57.65 -0.0135485 0.000381111 0.162925 +57.7 -0.013034 0.019246111 0.279640278 +57.75 -0.011662 0.040493056 0.184891821 +57.8 -0.007546 0.037539444 0.067170833 +57.85 -0.0084035 0.040207222 0.05372608 +57.9 -0.0039445 0.047924722 -0.034247068 +57.95 -0.0025725 0.037825278 -0.127989815 +58 -0.000343 0.030488889 -0.1414875 +58.05 0.0005145 0.0214375 -0.111263272 +58.1 0.001372 0.020389444 -0.095542438 +58.15 0.002744 0.015625556 -0.146727778 +58.2 0.0032585 0.005145 -0.188226543 +58.25 0.0032585 -0.005811944 -0.181715895 +58.3 0.0025725 -0.014672778 -0.142281481 +58.35 0.0015435 -0.019246111 -0.112110185 +58.4 0.000686 -0.023724167 -0.11549784 +58.45 -0.0005145 -0.032966111 -0.082785802 +58.5 -0.003087 -0.033728333 -0.020484722 +58.55 -0.0039445 -0.033061389 0.011962654 +58.6 -0.0063455 -0.032203889 0.04059892 +58.65 -0.007203 -0.029821944 0.079133488 +58.7 -0.0094325 -0.025343889 0.130530556 +58.75 -0.0101185 -0.014196389 0.13518858 +58.8 -0.0104615 -0.009623056 0.101312037 +58.85 -0.010976 -0.006478889 0.105334877 +58.9 -0.011319 -0.000381111 0.131218673 +58.95 -0.0111475 0.008193889 0.135347377 +59 -0.01029 0.013910556 0.122167284 +59.05 -0.0097755 0.019341389 0.119944136 +59.1 -0.008575 0.027916389 0.08273287 +59.15 -0.006517 0.028202222 0.03631142 +59.2 -0.005831 0.029440833 0.025354475 +59.25 -0.0036015 0.030774722 0.011803858 +59.3 -0.002744 0.031251111 -0.013550617 +59.35 -0.0005145 0.031822778 -0.079080556 +59.4 0.001029 0.022009167 -0.123225926 +59.45 0.001372 0.016673611 -0.119361883 +59.5 0.0025725 0.012576667 -0.149109722 +59.55 0.003087 0.001333889 -0.163666049 +59.6 0.0025725 -0.007241111 -0.120791049 +59.65 0.002058 -0.010766389 -0.078392438 +59.7 0.001372 -0.011909722 -0.089190586 +59.75 0.0012005 -0.018388611 -0.124729198 +59.8 -0.000343 -0.027344722 -0.109950556 +59.85 -0.0018865 -0.030298333 -0.072072346 +59.9 -0.0032585 -0.034242833 -0.036046759 +59.95 -0.005488 -0.034490556 0.009586003 +60 -0.00686 -0.031251111 0.04130821 diff --git a/fiz/vaje/4/preseki.py b/fiz/vaje/4/preseki.py new file mode 100755 index 0000000..7a35c66 --- /dev/null +++ b/fiz/vaje/4/preseki.py @@ -0,0 +1,25 @@ +#!/usr/bin/python3 +from sys import stderr +from math import log +import numpy +import csv +t = [] +x = [] +v = [] +with open("nihanje.tsv") as file: + tsv = csv.reader(file, delimiter="\t") + i = -1 + for line in tsv: + if i == -1: + i = i + 1 + continue + t.append(float(line[0])) + x.append(float(line[1])) + v.append(float(line[2])) + i = i + 1 +zero_crossings_x = numpy.where(numpy.diff(numpy.sign(x)))[0] +zero_crossings_v = numpy.where(numpy.diff(numpy.sign(v)))[0] +print("v\tx\tt\tabsx\tln") +for i in range(len(zero_crossings_x)-1): + print(f"{v[zero_crossings_x[i]]}\t{x[zero_crossings_v[i]]}\t{t[zero_crossings_v[i]]}\t{abs(x[zero_crossings_v[i]])}\t{log(abs(x[zero_crossings_v[i]])/0.0943867)}") +print(f"za {len(zero_crossings_x/2)} nihajev je preteklo {t[zero_crossings_x[len(zero_crossings_x)-1]]-t[zero_crossings_x[0]]} sekund, zato je nihajni čas {(t[zero_crossings_x[len(zero_crossings_x)-1]]-t[zero_crossings_x[0]])/(len(zero_crossings_x)/2)}", file=stderr) -- cgit v1.2.3