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-rw-r--r--fiz/vaje/7/.gitignore2
-rw-r--r--fiz/vaje/7/debela.tsv11
-rw-r--r--fiz/vaje/7/dokument.lyx1136
-rw-r--r--fiz/vaje/7/makefile6
-rwxr-xr-xfiz/vaje/7/tab.py10
-rw-r--r--fiz/vaje/7/tanka.tsv12
6 files changed, 1177 insertions, 0 deletions
diff --git a/fiz/vaje/7/.gitignore b/fiz/vaje/7/.gitignore
new file mode 100644
index 0000000..bd3ed92
--- /dev/null
+++ b/fiz/vaje/7/.gitignore
@@ -0,0 +1,2 @@
+*.csv
+*.csv
diff --git a/fiz/vaje/7/debela.tsv b/fiz/vaje/7/debela.tsv
new file mode 100644
index 0000000..79d7fb7
--- /dev/null
+++ b/fiz/vaje/7/debela.tsv
@@ -0,0 +1,11 @@
+pollamb m
+0.14 9.5
+0.245 29.5
+0.28 39.5
+0.32 49.5
+0.34 59.5
+0.37 69.5
+0.4 79.5
+0.42 89.5
+0.435 99.5
+0.47 109.5
diff --git a/fiz/vaje/7/dokument.lyx b/fiz/vaje/7/dokument.lyx
new file mode 100644
index 0000000..dd5ad33
--- /dev/null
+++ b/fiz/vaje/7/dokument.lyx
@@ -0,0 +1,1136 @@
+#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
+Stoječe valovanje na vrvi
+\end_layout
+
+\begin_layout Author
+
+\noun on
+Anton Luka Šijanec
+\end_layout
+
+\begin_layout Date
+25.
+ januar 2023
+\end_layout
+
+\begin_layout Abstract
+Poročilo sedme vaje pri predmetu
+\noun on
+F41
+\noun default
+ na Gimnaziji Bežigrad v 4.
+ letniku.
+ Vaja je potekala 8.
+ decembra 2022.
+\end_layout
+
+\begin_layout Standard
+\begin_inset CommandInset toc
+LatexCommand tableofcontents
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Section
+Naloga
+\end_layout
+
+\begin_layout Standard
+S stoječim valovanjem ugotovi, kako je hitrost valovanja na vrvi odvisna
+ od sile, ki napenja vrv.
+\end_layout
+
+\begin_layout Section
+Potrebščine
+\end_layout
+
+\begin_layout Itemize
+brnač
+\end_layout
+
+\begin_layout Itemize
+ŠMI
+\end_layout
+
+\begin_layout Itemize
+vezna žica (2)
+\end_layout
+
+\begin_layout Itemize
+prižema s škripcem
+\end_layout
+
+\begin_layout Itemize
+vrvica (2)
+\end_layout
+
+\begin_layout Itemize
+uteži po
+\begin_inset Formula $\SI{10}{\gram}$
+\end_inset
+
+ (6)
+\end_layout
+
+\begin_layout Section
+Potek dela
+\end_layout
+
+\begin_layout Enumerate
+En konec debelejše vrvice pritrdi na brnač, ki vzbuja na vrvici nihanje
+ s stalno frekvenco
+\begin_inset Formula $\SI{50}{\hertz}$
+\end_inset
+
+.
+ Brnač priključiš na ŠMI na izmenično napetost
+\begin_inset Formula $\SI{2}{\volt}$
+\end_inset
+
+.
+\end_layout
+
+\begin_layout Enumerate
+Drugi konec vrvice napelji preko škripca in obesi nanjo kaveljček za uteži
+ in eno utež (skupna masa
+\begin_inset Formula $\SI{20}{\gram}$
+\end_inset
+
+).
+\end_layout
+
+\begin_layout Enumerate
+Ko vključiš ŠMI, da brnač zaniha, počasi spreminjaj dolžino vrvice med brnačem
+ in škripcem tako, da dobiš na vrvici lepo stoječe valovanje.
+ Določi valovno dolžino tega stoječega valovanja.
+\end_layout
+
+\begin_layout Enumerate
+Postopoma dodajaj uteži na kaveljček, vsakič poišči ustrezne stoječe valovanje
+ te določi valovno dolžino.
+ Vse meritve zapisuj v ustrezno tabelo.
+\begin_inset ERT
+status open
+
+\begin_layout Plain Layout
+
+
+\backslash
+begin{multicols}{2}
+\end_layout
+
+\end_inset
+
+
+\begin_inset Float table
+placement H
+wide false
+sideways false
+status open
+
+\begin_layout Plain Layout
+\align center
+\begin_inset Tabular
+<lyxtabular version="3" rows="11" columns="2">
+<features tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
+<row>
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+
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+\begin_inset Formula $\frac{\lambda}{2}\left[\si{\meter}\right]$
+\end_inset
+
+
+\end_layout
+
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+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
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+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
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+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
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+
+\end_inset
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+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
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+\begin_inset Text
+
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+</cell>
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+
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+
+\begin_layout Plain Layout
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+\begin_inset Text
+
+\begin_layout Plain Layout
+89,5
+\end_layout
+
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+</cell>
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+<row>
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+\begin_inset Text
+
+\begin_layout Plain Layout
+0,435
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+99,5
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+0,47
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+109,5
+\end_layout
+
+\end_inset
+</cell>
+</row>
+</lyxtabular>
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Plain Layout
+\begin_inset Caption Standard
+
+\begin_layout Plain Layout
+Meritve debele vrvice
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\end_inset
+
+
+\begin_inset Float table
+placement H
+wide false
+sideways false
+status open
+
+\begin_layout Plain Layout
+\align center
+\begin_inset Tabular
+<lyxtabular version="3" rows="12" columns="2">
+<features tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $\frac{\lambda}{2}\left[\si{\meter}\right]$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $m\left[\si{\gram}\right]$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+0,33
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+9,5
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+0,475
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+19,5
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+0,59
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+29,5
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+0,7
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+39,5
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+0,77
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+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+49,5
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+0,85
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+59,5
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+0,92
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+69,5
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+0,97
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+79,5
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+1,04
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+89,5
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+1,09
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+99,5
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+1,16
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+109,5
+\end_layout
+
+\end_inset
+</cell>
+</row>
+</lyxtabular>
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Plain Layout
+\begin_inset Caption Standard
+
+\begin_layout Plain Layout
+Meritve tanke vrvice
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\end_inset
+
+
+\begin_inset ERT
+status open
+
+\begin_layout Plain Layout
+
+
+\backslash
+end{multicols}
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Enumerate
+\begin_inset CommandInset label
+LatexCommand label
+name "enu:Tabelo-dopolni-tako,"
+
+\end_inset
+
+Tabelo dopolni tako, da bo iz nje razvidno, kako se hitrost valovanja na
+ vrvi spreminja s silo, ki napenja vrvico.
+\end_layout
+
+\begin_layout Enumerate
+Nariši graf, ki kaže odvisnost iz točke
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "enu:Tabelo-dopolni-tako,"
+plural "false"
+caps "false"
+noprefix "false"
+
+\end_inset
+
+, ter z besedami in/ali z enačbo povej, za kakšno odvisnost gre.
+ Svojo trditev tudi preveri z dodatnim grafom ali računsko.
+\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=$
+\backslash
+lambda$, domain=0.09:1.09, ytick pos=left, samples=256, xlabel=$T$, xtick
+ pos=bottom, xmin=0, ymax=3, ymin=0]
+\end_layout
+
+\begin_layout Plain Layout
+
+
+\backslash
+addplot[only marks] table [x=sila, y=lambda, col sep=comma] {debela.csv};
+\end_layout
+
+\begin_layout Plain Layout
+
+
+\backslash
+addlegendentry{debela}
+\end_layout
+
+\begin_layout Plain Layout
+
+
+\backslash
+addplot[blue] (x, {sqrt(x)*0.899222});
+\end_layout
+
+\begin_layout Plain Layout
+
+
+\backslash
+addlegendentry{}
+\end_layout
+
+\begin_layout Plain Layout
+
+
+\backslash
+addplot[red, only marks] table [x=sila, y=lambda, col sep=comma] {tanka.csv};
+\end_layout
+
+\begin_layout Plain Layout
+
+
+\backslash
+addlegendentry{tanka}
+\end_layout
+
+\begin_layout Plain Layout
+
+
+\backslash
+addplot[blue] (x, {sqrt(x)*2.21708});
+\end_layout
+
+\begin_layout Plain Layout
+
+
+\backslash
+addlegendentry{}
+\end_layout
+
+\begin_layout Plain Layout
+
+
+\backslash
+end{axis}
+\end_layout
+
+\begin_layout Plain Layout
+
+%
+\backslash
+begin{axis}[width=0.75
+\backslash
+textwidth, scale only axis, ylabel=$
+\backslash
+color{red}p
+\backslash
+color{black}$, domain=0:.55, ylabel near ticks, ytick pos=right, samples=256,
+ xlabel=$
+\backslash
+color{red}V^{-1}
+\backslash
+color{black}$, xtick pos=top, xlabel near ticks, xmin=0, ymax=200, ymin=0]
+\end_layout
+
+\begin_layout Plain Layout
+
+%
+\backslash
+addplot[red, only marks] table [sep=comma, x=iV, y=p] {boylov.csv};
+\end_layout
+
+\begin_layout Plain Layout
+
+%
+\backslash
+addplot[green] (x, {x*(386.934+0.498)});
+\end_layout
+
+\begin_layout Plain Layout
+
+%
+\backslash
+addplot[green] (x, {x*(386.934-0.498)});
+\end_layout
+
+\begin_layout Plain Layout
+
+%
+\backslash
+addplot[red] (x, {x*(386.934)});
+\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
+
+Odvisnost valovne dolžine od sile, s katero je vrvica napeta.
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\end_inset
+
+
+\begin_inset ERT
+status open
+
+\begin_layout Plain Layout
+
+
+\backslash
+begin{lstlisting}
+\end_layout
+
+\begin_layout Plain Layout
+
+set datafile separator ','
+\end_layout
+
+\begin_layout Plain Layout
+
+fit (x*p+c)
+\begin_inset Quotes gld
+\end_inset
+
+debela.csv" using 4:5 via p, c
+\end_layout
+
+\begin_layout Plain Layout
+
+
+\backslash
+end{lstlisting}
+\end_layout
+
+\end_inset
+
+
+\begin_inset Formula
+\[
+f=\frac{v=\sqrt{\frac{T}{m/L}}}{2L}=\sqrt{\frac{T}{L^{2}4m/L}}=\sqrt{\frac{T}{4mL}}\to f^{2}=\frac{T}{4mL}\to4mlf^{2}=T\to f\sqrt{4mL}=\sqrt{T}
+\]
+
+\end_inset
+
+
+\begin_inset CommandInset citation
+LatexCommand cite
+key "hpstrings"
+literal "true"
+
+\end_inset
+
+
+\end_layout
+
+\begin_deeper
+\begin_layout Enumerate
+\begin_inset Formula $f$
+\end_inset
+
+ je frekvenca nihanja
+\end_layout
+
+\begin_layout Enumerate
+\begin_inset Formula $v$
+\end_inset
+
+ je hitrost potujočega valovanja po vrvi
+\end_layout
+
+\begin_layout Enumerate
+\begin_inset Formula $m$
+\end_inset
+
+ je masa vrvice dolžine
+\begin_inset Formula $L$
+\end_inset
+
+
+\end_layout
+
+\begin_layout Enumerate
+\begin_inset Formula $T$
+\end_inset
+
+ je sila, s katero je vrvica napeta
+\end_layout
+
+\begin_layout Enumerate
+\begin_inset Formula $L$
+\end_inset
+
+ je dolžina vrvice
+\end_layout
+
+\end_deeper
+\begin_layout Enumerate
+Če imaš čas, ponovi cel postopek še s tanjšo vrvico.
+ Odvisnost iz točke
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "enu:Tabelo-dopolni-tako,"
+plural "false"
+caps "false"
+noprefix "false"
+
+\end_inset
+
+ nariši v isti koordinatni sistem kot za debelejšo vrvico ter komentiraj
+ rezultat.
+\begin_inset Newline newline
+\end_inset
+
+Valovna dolžina tanjše vrvi je za faktor
+\begin_inset Formula $ž$
+\end_inset
+
+ večja od debelejše vrvi.
+ V idealnem primeru bi na to vplivala njena dolžinska gostota, saj drži
+
+\begin_inset Formula $m\propto f$
+\end_inset
+
+.
+\end_layout
+
+\begin_layout Standard
+\begin_inset CommandInset bibtex
+LatexCommand bibtex
+btprint "btPrintCited"
+bibfiles "/root/projects/sola-gimb-4/citati"
+options "bibtotoc,plain"
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Section
+Uporabljen program
+\end_layout
+
+\begin_layout Standard
+\begin_inset ERT
+status open
+
+\begin_layout Plain Layout
+
+
+\backslash
+lstinputlisting[language=Python]{tab.py}
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\end_body
+\end_document
diff --git a/fiz/vaje/7/makefile b/fiz/vaje/7/makefile
new file mode 100644
index 0000000..7628c99
--- /dev/null
+++ b/fiz/vaje/7/makefile
@@ -0,0 +1,6 @@
+default: tanka.csv debela.csv
+%.csv: %.tsv tab.py
+ ./tab.py , < $< > $@
+clean:
+ rm *.csv
+.PHONY: default
diff --git a/fiz/vaje/7/tab.py b/fiz/vaje/7/tab.py
new file mode 100755
index 0000000..eba035e
--- /dev/null
+++ b/fiz/vaje/7/tab.py
@@ -0,0 +1,10 @@
+#!/usr/bin/python3
+import pandas
+import sys
+import math
+b=pandas.read_csv("/dev/stdin", sep="\t")
+b.index.name = "idx"
+b["sila"] = (9.81*b["m"]/1000)
+b["lambda"] = (2*b["pollamb"])
+b = b.astype(float).round(6);
+b.to_csv("/dev/stdout", sep=sys.argv[1][0]);
diff --git a/fiz/vaje/7/tanka.tsv b/fiz/vaje/7/tanka.tsv
new file mode 100644
index 0000000..8892b66
--- /dev/null
+++ b/fiz/vaje/7/tanka.tsv
@@ -0,0 +1,12 @@
+pollamb m
+0.33 9.5
+0.475 19.5
+0.59 29.5
+0.7 39.5
+0.77 49.5
+0.85 59.5
+0.92 69.5
+0.97 79.5
+1.04 89.5
+1.09 99.5
+1.16 109.5