diff options
Diffstat (limited to '')
| -rw-r--r-- | .gitignore | 1 | ||||
| -rw-r--r-- | fiz/vaje/10/.gitignore | 1 | ||||
| -rw-r--r-- | fiz/vaje/10/dokument.lyx | 443 | ||||
| -rwxr-xr-x | fiz/vaje/10/tab.py | 16 |
4 files changed, 351 insertions, 110 deletions
@@ -8,3 +8,4 @@ core .Rhistory *.out .gdb_history +__pycache__/ diff --git a/fiz/vaje/10/.gitignore b/fiz/vaje/10/.gitignore index 3d28b33..8c9c1c2 100644 --- a/fiz/vaje/10/.gitignore +++ b/fiz/vaje/10/.gitignore @@ -1,2 +1,3 @@ *.csv +p.tsv podatki.lyx diff --git a/fiz/vaje/10/dokument.lyx b/fiz/vaje/10/dokument.lyx index b0485c1..3209653 100644 --- a/fiz/vaje/10/dokument.lyx +++ b/fiz/vaje/10/dokument.lyx @@ -102,12 +102,12 @@ Anton Luka Šijanec \end_layout \begin_layout Date -20. +29. marec 2023 \end_layout \begin_layout Abstract -Grafi in rezultati desete vaje pri predmetu +Grafi in rezultati desete in zadnje vaje pri predmetu \noun on F41 \noun default @@ -120,14 +120,14 @@ Podatki in grafi \end_layout \begin_layout Standard -Izmerjena goriščna razdalja leče v prvi nalogi je -\begin_inset Formula $\SI{0,053}{\meter}$ +Teoretični model +\begin_inset Formula $s_{0}\left(\nu\right)$ \end_inset -, v drugi nalogi pa + je \begin_inset Formula \[ -f=\SI{0,0511438}{\meter}\pm\SI{0,001356}{\meter}=\SI{0,0511438}{\meter}(1\pm0,026513477684489615)\text{{.}} +s_{0}=A\frac{\omega}{\sqrt{\left(\omega^{2}+\omega_{0}^{2}\right)^{2}+4\beta^{2}\omega^{2}}}\text{{,}} \] \end_inset @@ -136,6 +136,27 @@ f=\SI{0,0511438}{\meter}\pm\SI{0,001356}{\meter}=\SI{0,0511438}{\meter}(1\pm0,02 \end_layout \begin_layout Standard +kjer je +\begin_inset Formula $\omega=2\pi v$ +\end_inset + + oziroma, če jo izračunamo iz podatkov matematičnega nihala, +\begin_inset Formula $\omega=\sqrt{\frac{g}{l}}$ +\end_inset + +. + Resonančna frekvenca, razbrana iz grafa — vrh, je +\begin_inset Formula $6,5$ +\end_inset + + radianov na sekundo, kar je +\begin_inset Formula $6,5\pi2$ +\end_inset + + nihajev na sekundo. +\end_layout + +\begin_layout Standard \begin_inset Float table placement H wide false @@ -143,27 +164,38 @@ sideways false status open \begin_layout Plain Layout -\align center \lang english \begin_inset Tabular -<lyxtabular version="3" rows="6" columns="8"> +<lyxtabular version="3" rows="17" columns="4"> <features tabularvalignment="middle"> <column alignment="left" valignment="top" width="0pt"> <column alignment="left" valignment="top" width="0pt"> <column alignment="left" valignment="top" width="0pt"> <column alignment="left" valignment="top" width="0pt"> -<column alignment="left" valignment="top" width="0pt"> -<column alignment="left" valignment="top" width="0pt"> -<column alignment="left" valignment="top" width="0pt"> -<column alignment="left" valignment="top" width="0pt"> <row> <cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout -Št. - meritve + +\lang english +\begin_inset Formula $l\left[\si{\meter}\right]$ +\end_inset + + +\end_layout + +\end_inset +</cell> +<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none"> +\begin_inset Text + +\begin_layout Plain Layout +\begin_inset Formula $x_{0}\left[\si{\meter}\right]$ +\end_inset + + \end_layout \end_inset @@ -174,7 +206,7 @@ status open \begin_layout Plain Layout \lang english -\begin_inset Formula $a+b\left[\si{\meter}\right]$ +\begin_inset Formula $\omega$ \end_inset @@ -182,16 +214,38 @@ status open \end_inset </cell> +<cell alignment="left" valignment="top" topline="true" leftline="true" rightline="true" usebox="none"> +\begin_inset Text + +\begin_layout Plain Layout +\begin_inset Formula $\nu$ +\end_inset + + +\end_layout + +\end_inset +</cell> +</row> +<row> <cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout \lang english -\begin_inset Formula $b\left[\si{\meter}\right]$ +0,4 +\end_layout + \end_inset +</cell> +<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none"> +\begin_inset Text +\begin_layout Plain Layout +\lang english +0,012654 \end_layout \end_inset @@ -202,24 +256,42 @@ status open \begin_layout Plain Layout \lang english -\begin_inset Formula $a\left[\si{\meter}\right]$ +4,952272 +\end_layout + \end_inset +</cell> +<cell alignment="left" valignment="top" topline="true" leftline="true" rightline="true" usebox="none"> +\begin_inset Text +\begin_layout Plain Layout +\lang english +0,788179 \end_layout \end_inset </cell> +</row> +<row> <cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout \lang english -\begin_inset Formula $a^{-1}\left[\si{\per\meter}\right]$ +0,5 +\end_layout + \end_inset +</cell> +<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none"> +\begin_inset Text +\begin_layout Plain Layout +\lang english +0,009038 \end_layout \end_inset @@ -230,38 +302,64 @@ status open \begin_layout Plain Layout \lang english -\begin_inset Formula $b^{-1}\left[\si{\per\meter}\right]$ +4,429447 +\end_layout + \end_inset +</cell> +<cell alignment="left" valignment="top" topline="true" leftline="true" rightline="true" usebox="none"> +\begin_inset Text +\begin_layout Plain Layout +\lang english +0,704968 \end_layout \end_inset </cell> +</row> +<row> <cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout \lang english -\begin_inset Formula $f\left[\si{\meter}\right]$ +0,45 +\end_layout + \end_inset +</cell> +<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none"> +\begin_inset Text +\begin_layout Plain Layout +\lang english +0,009038 \end_layout \end_inset </cell> -<cell alignment="left" valignment="top" topline="true" leftline="true" rightline="true" usebox="none"> +<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout \lang english -\begin_inset Formula $\Delta f\left[\si{\meter}\right]$ +4,669047 +\end_layout + \end_inset +</cell> +<cell alignment="left" valignment="top" topline="true" leftline="true" rightline="true" usebox="none"> +\begin_inset Text +\begin_layout Plain Layout +\lang english +0,743102 \end_layout \end_inset @@ -274,7 +372,7 @@ status open \begin_layout Plain Layout \lang english -0 +0,3 \end_layout \end_inset @@ -285,7 +383,7 @@ status open \begin_layout Plain Layout \lang english -0,23 +0,025308 \end_layout \end_inset @@ -296,29 +394,31 @@ status open \begin_layout Plain Layout \lang english -0,075 +5,718391 \end_layout \end_inset </cell> -<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none"> +<cell alignment="left" valignment="top" topline="true" leftline="true" rightline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout \lang english -0,155 +0,91011 \end_layout \end_inset </cell> +</row> +<row> <cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout \lang english -6,451613 +0,35 \end_layout \end_inset @@ -329,7 +429,7 @@ status open \begin_layout Plain Layout \lang english -13,333333 +0,019885 \end_layout \end_inset @@ -340,7 +440,7 @@ status open \begin_layout Plain Layout \lang english -0,050543 +5,294202 \end_layout \end_inset @@ -351,7 +451,7 @@ status open \begin_layout Plain Layout \lang english -0,0006 +0,842598 \end_layout \end_inset @@ -364,7 +464,7 @@ status open \begin_layout Plain Layout \lang english -1 +0,25 \end_layout \end_inset @@ -375,18 +475,42 @@ status open \begin_layout Plain Layout \lang english -0,25 +0,047 +\end_layout + +\end_inset +</cell> +<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none"> +\begin_inset Text + +\begin_layout Plain Layout + +\lang english +6,264184 +\end_layout + +\end_inset +</cell> +<cell alignment="left" valignment="top" topline="true" leftline="true" rightline="true" usebox="none"> +\begin_inset Text + +\begin_layout Plain Layout + +\lang english +0,996976 \end_layout \end_inset </cell> +</row> +<row> <cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout \lang english -0,075 +0,24 \end_layout \end_inset @@ -397,7 +521,7 @@ status open \begin_layout Plain Layout \lang english -0,175 +0,054231 \end_layout \end_inset @@ -408,18 +532,31 @@ status open \begin_layout Plain Layout \lang english -5,714286 +6,393356 \end_layout \end_inset </cell> +<cell alignment="left" valignment="top" topline="true" leftline="true" rightline="true" usebox="none"> +\begin_inset Text + +\begin_layout Plain Layout + +\lang english +1,017534 +\end_layout + +\end_inset +</cell> +</row> +<row> <cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout \lang english -13,333333 +0,23 \end_layout \end_inset @@ -430,7 +567,18 @@ status open \begin_layout Plain Layout \lang english -0,0525 +0,054231 +\end_layout + +\end_inset +</cell> +<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none"> +\begin_inset Text + +\begin_layout Plain Layout + +\lang english +6,530863 \end_layout \end_inset @@ -441,7 +589,7 @@ status open \begin_layout Plain Layout \lang english -0,001356 +1,039419 \end_layout \end_inset @@ -454,18 +602,53 @@ status open \begin_layout Plain Layout \lang english -2 +0,22 +\end_layout + +\end_inset +</cell> +<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none"> +\begin_inset Text + +\begin_layout Plain Layout + +\lang english +0,054231 +\end_layout + +\end_inset +</cell> +<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none"> +\begin_inset Text + +\begin_layout Plain Layout + +\lang english +6,677642 +\end_layout + +\end_inset +</cell> +<cell alignment="left" valignment="top" topline="true" leftline="true" rightline="true" usebox="none"> +\begin_inset Text + +\begin_layout Plain Layout + +\lang english +1,06278 \end_layout \end_inset </cell> +</row> +<row> <cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout \lang english -0,27 +0,21 \end_layout \end_inset @@ -476,7 +659,7 @@ status open \begin_layout Plain Layout \lang english -0,068 +0,056038 \end_layout \end_inset @@ -487,18 +670,31 @@ status open \begin_layout Plain Layout \lang english -0,202 +6,834785 +\end_layout + +\end_inset +</cell> +<cell alignment="left" valignment="top" topline="true" leftline="true" rightline="true" usebox="none"> +\begin_inset Text + +\begin_layout Plain Layout + +\lang english +1,08779 \end_layout \end_inset </cell> +</row> +<row> <cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout \lang english -4,950495 +0,2 \end_layout \end_inset @@ -509,7 +705,7 @@ status open \begin_layout Plain Layout \lang english -14,705882 +0,047 \end_layout \end_inset @@ -520,7 +716,7 @@ status open \begin_layout Plain Layout \lang english -0,050874 +7,003571 \end_layout \end_inset @@ -531,7 +727,7 @@ status open \begin_layout Plain Layout \lang english -0,00027 +1,114653 \end_layout \end_inset @@ -544,18 +740,53 @@ status open \begin_layout Plain Layout \lang english -3 +0,19 +\end_layout + +\end_inset +</cell> +<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none"> +\begin_inset Text + +\begin_layout Plain Layout + +\lang english +0,043385 +\end_layout + +\end_inset +</cell> +<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none"> +\begin_inset Text + +\begin_layout Plain Layout + +\lang english +7,185512 \end_layout \end_inset </cell> +<cell alignment="left" valignment="top" topline="true" leftline="true" rightline="true" usebox="none"> +\begin_inset Text + +\begin_layout Plain Layout + +\lang english +1,14361 +\end_layout + +\end_inset +</cell> +</row> +<row> <cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout \lang english -0,29 +0,18 \end_layout \end_inset @@ -566,7 +797,7 @@ status open \begin_layout Plain Layout \lang english -0,065 +0,043385 \end_layout \end_inset @@ -577,18 +808,31 @@ status open \begin_layout Plain Layout \lang english -0,225 +7,382412 \end_layout \end_inset </cell> +<cell alignment="left" valignment="top" topline="true" leftline="true" rightline="true" usebox="none"> +\begin_inset Text + +\begin_layout Plain Layout + +\lang english +1,174947 +\end_layout + +\end_inset +</cell> +</row> +<row> <cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout \lang english -4,444444 +0,17 \end_layout \end_inset @@ -599,7 +843,7 @@ status open \begin_layout Plain Layout \lang english -15,384615 +0,036154 \end_layout \end_inset @@ -610,7 +854,7 @@ status open \begin_layout Plain Layout \lang english -0,050431 +7,596439 \end_layout \end_inset @@ -621,64 +865,66 @@ status open \begin_layout Plain Layout \lang english -0,000713 +1,209011 \end_layout \end_inset </cell> </row> <row> -<cell alignment="left" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none"> +<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout \lang english -4 +0,16 \end_layout \end_inset </cell> -<cell alignment="left" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none"> +<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout \lang english -0,31 +0,032538 \end_layout \end_inset </cell> -<cell alignment="left" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none"> +<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout \lang english -0,065 +7,83023 \end_layout \end_inset </cell> -<cell alignment="left" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none"> +<cell alignment="left" valignment="top" topline="true" leftline="true" rightline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout \lang english -0,245 +1,24622 \end_layout \end_inset </cell> +</row> +<row> <cell alignment="left" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout \lang english -4,081633 +0,15 \end_layout \end_inset @@ -689,7 +935,7 @@ status open \begin_layout Plain Layout \lang english -15,384615 +0,036154 \end_layout \end_inset @@ -700,7 +946,7 @@ status open \begin_layout Plain Layout \lang english -0,051371 +8,087027 \end_layout \end_inset @@ -711,7 +957,7 @@ status open \begin_layout Plain Layout \lang english -0,000227 +1,28709 \end_layout \end_inset @@ -722,12 +968,14 @@ status open \end_inset -\lang slovene +\end_layout +\begin_layout Plain Layout +\align center \begin_inset Caption Standard \begin_layout Plain Layout -Meritve tenkega upornika +Izmerjeni in izračunani podatki \end_layout \end_inset @@ -762,8 +1010,15 @@ begin{tikzpicture} \backslash begin{axis}[width=0.75 \backslash -textwidth, scale only axis, ylabel=$b$, domain=0:.4, ytick pos=left, samples=256, - xlabel=$a$, xtick pos=bottom, xmin=0, xmax=.4, ymin=-.1, ymax=.2, %grid=both +textwidth, scale only axis, ylabel=$s_0$, domain=0:12, ytick pos=left, samples=2 +56, xlabel=$ +\backslash +omega$, xtick pos=bottom, xmin=0, xmax=12, ymin=0, ymax=.06, +\end_layout + +\begin_layout Plain Layout + +%grid=both \end_layout \begin_layout Plain Layout @@ -775,7 +1030,7 @@ textwidth, scale only axis, ylabel=$b$, domain=0:.4, ytick pos=left, samples=256 \backslash -addplot[only marks] table [x=a, y=b, col sep=comma] {podatki.csv}; +addplot[only marks] table [x=omega, y=x, col sep=comma] {podatki.csv}; \end_layout \begin_layout Plain Layout @@ -789,14 +1044,14 @@ addlegendentry{meritve} \backslash -addplot[blue] (x, {1/(1/0.0511438-1/x)}); +addplot[blue] (x, {0.490752637*x/sqrt((x^2+6.6^2)^2+4*(-0.000179148908)^2*x^2)}); \end_layout \begin_layout Plain Layout \backslash -addlegendentry{$b=(f^{-1}-a^{-1})^{-1}$} +addlegendentry{Teoretični model} \end_layout \begin_layout Plain Layout @@ -870,7 +1125,7 @@ end{axis} \begin_layout Plain Layout - +% \backslash begin{axis}[width=0.75 \backslash @@ -880,23 +1135,23 @@ textwidth, scale only axis, ylabel=$b^{-1}$, ytick pos=right, samples=256, \begin_layout Plain Layout -, xlabel near ticks, ylabel near ticks, major grid style={dashed,red}, +%, xlabel near ticks, ylabel near ticks, major grid style={dashed,red}, \end_layout \begin_layout Plain Layout -legend style={at={(0.975,0.325)}, anchor=south east}, domain=4:7, xmin=4, +%legend style={at={(0.975,0.325)}, anchor=south east}, domain=4:7, xmin=4, xmax=6.6, ymin=13, ymax=15.6 \end_layout \begin_layout Plain Layout -] +%] \end_layout \begin_layout Plain Layout - +% \backslash addplot[mark=triangle*, red, only marks] table [x=1/a, y=1/b, col sep=comma] {podatki.csv}; @@ -904,28 +1159,28 @@ addplot[mark=triangle*, red, only marks] table [x=1/a, y=1/b, col sep=comma] \begin_layout Plain Layout - +% \backslash addlegendentry{meritve} \end_layout \begin_layout Plain Layout - +% \backslash addplot[red] (x, {1/0.0511438-x}); \end_layout \begin_layout Plain Layout - +% \backslash addlegendentry{$b^{-1}=f^{-1}-a^{-1}$} \end_layout \begin_layout Plain Layout - +% \backslash end{axis} \end_layout @@ -953,11 +1208,7 @@ name "fig:graf-1" \end_inset -\begin_inset Formula $b(a)$ -\end_inset - - in -\begin_inset Formula $b^{-1}(a^{-1})$ +\begin_inset Formula $s_{0}\left(\omega\right)$ \end_inset @@ -974,21 +1225,7 @@ name "fig:graf-1" \end_layout \begin_layout Standard -\begin_inset Formula $f$ -\end_inset - - je obratna vrednost neničelne komponente točke presečišča med bodisi ordinatno - bodisi abscisno osjo in premico -\begin_inset Formula $b^{-1}=f^{-1}-a^{-1}$ -\end_inset - -. - Kakršno koli odčitavanje iz strojno generiranega grafa ni smiselno, saj - je bila -\begin_inset Formula $f^{-1}$ -\end_inset - - v osnovi uporabljena za konstruiranje premice. +Meritve se ne ujemajo z napovedano vrednostjo. \end_layout \end_body diff --git a/fiz/vaje/10/tab.py b/fiz/vaje/10/tab.py index cb70e75..c5c24db 100755 --- a/fiz/vaje/10/tab.py +++ b/fiz/vaje/10/tab.py @@ -3,10 +3,12 @@ import pandas import sys from math import pi l = 23.5 -b=pandas.read_csv("/dev/stdin", sep="\t") -b.index.name = "idx" -b["x"] = (b["y"]/13*l) -b["omega"] = ((9.81/b["l"])**(1/2)) -b["f"] = (b["omega"]*0.5/pi) -b = b.astype(float).round(6); -b.to_csv("/dev/stdout", sep=sys.argv[1][0]); +df = pandas.read_csv("podatki.tsv", sep="\t") +df.index.name = "idx" +df["x"] = (df["y"]/13*l) +df["omega"] = ((9.81/df["l"])**(1/2)) +df["f"] = (df["omega"]*0.5/pi) +df = df.astype(float).round(6); +data = df.values +if __name__ == "__main__": + df.to_csv("/dev/stdout", sep=","); |