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+#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
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+\shortcut idx
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+\end_header
+
+\begin_body
+
+\begin_layout Title
+Centripetalni pospešek
+\end_layout
+
+\begin_layout Author
+
+\noun on
+Anton Luka Šijanec
+\end_layout
+
+\begin_layout Date
+14.
+ december 2022
+\end_layout
+
+\begin_layout Abstract
+Poročilo pete vaje pri predmetu 
+\noun on
+F41
+\noun default
+ na Gimnaziji Bežigrad v 4.
+ letniku.
+ Vaja je potekala 10.
+ novembra 2022.
+\end_layout
+
+\begin_layout Standard
+\begin_inset CommandInset toc
+LatexCommand tableofcontents
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Section
+Potrebna oprema
+\end_layout
+
+\begin_layout Itemize
+kos plastične cevi
+\end_layout
+
+\begin_layout Itemize
+vrvica
+\end_layout
+
+\begin_layout Itemize
+zamašek z luknjico
+\end_layout
+
+\begin_layout Itemize
+štoparica
+\end_layout
+
+\begin_layout Itemize
+ravnilo
+\end_layout
+
+\begin_layout Itemize
+tehtnica
+\end_layout
+
+\begin_layout Itemize
+uteži
+\end_layout
+
+\begin_layout Section
+Cilj naloge
+\end_layout
+
+\begin_layout Standard
+S poskusom preveriti veljavnost drugega Newtonovega zakona za kroženje.
+\end_layout
+
+\begin_layout Section
+Potek meritve
+\end_layout
+
+\begin_layout Enumerate
+Izmeri maso uteži in maso zamaška.
+\begin_inset Newline newline
+\end_inset
+
+
+\begin_inset Formula 
+\[
+m_{\text{{uteži}}}=\SI{30,5}{\gram}
+\]
+
+\end_inset
+
+
+\begin_inset Formula 
+\[
+m_{\text{zamaška}}=\SI{3,5}{\gram}
+\]
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Enumerate
+Primi za cev in jo vrti tako, da zamašek kroži v vodoravni ravnini s stalno
+ hitrostjo.
+ Pri tem pazi, da je razdalja od vrha cevi do zamaška ves čas enaka izbranemnu
+ polmeru.
+ Izmeri čas desetih obhodnih časov.
+ Meritev ponovi za deset različnih polmerov.
+\end_layout
+
+\begin_layout Standard
+\begin_inset Float table
+placement H
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+sideways false
+status open
+
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+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $r\left[\si{\meter}\right]$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
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+
+\end_layout
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+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
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+<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 $a_{r}\left[\si{\meter\per\second\squared}\right]$
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+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
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+
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+<row>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
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+
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+
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+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
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+
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+
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+
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+\end_inset
+</cell>
+</row>
+</lyxtabular>
+
+\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 Section
+Naloge
+\end_layout
+
+\begin_layout Enumerate
+Za vsako meritev določi obhodni čas in izračunaj centripetalni pospešek.
+ Določi povprečni pospešek in njegovo napako.
+\begin_inset Formula 
+\[
+\overline{a_{r}}=\SI{99,970594}{\meter\per\second\text{\squared}}
+\]
+
+\end_inset
+
+
+\begin_inset Formula 
+\[
+\sigma_{a_{r}}=\SI{20,487365}{\meter\per\second\squared}
+\]
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Enumerate
+Centripetalni pospešek izračunaj tudi iz mas zamaška in uteži.
+ Ali se dobljena rezultata ustrezno ujemata?
+\begin_inset Formula 
+\[
+a_{r}=\frac{{F_{c}=gm_{\text{{uteži}}}}}{m_{\text{{zamaška}}}}=\frac{\SI{9,81}{\meter\per\second\squared}\cdot\SI{0,0305}{\kilo\gram}=\SI{0,299205}{\newton}}{\SI{0,0035}{\kilo\gram}}=\SI{85,487}{\meter\per\second\squared}
+\]
+
+\end_inset
+
+
+\begin_inset Newline newline
+\end_inset
+
+Upoštevajoč napako merjenja se izračunana vrednost ustrezno ujema z izmerjeno.
+\end_layout
+
+\begin_layout Enumerate
+Izpelji izraz, ki povezuje kvadrat nihajnega časa 
+\begin_inset Formula $t^{2}$
+\end_inset
+
+ z radijem 
+\begin_inset Formula $r$
+\end_inset
+
+!
+\begin_inset Formula 
+\[
+t^{2}=\frac{{4\pi^{2}r}}{a_{r}}
+\]
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Enumerate
+Nariši graf 
+\begin_inset Formula $t^{2}(r)$
+\end_inset
+
+.
+ Skozi narisane točke lahko narišemo premico skozi izhodišče.
+ Določi naklon te premice, pri tem pazi na enote rezultata!
+\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=$t^2$, domain=0:0.5, ytick pos=left, samples=2
+56, xlabel=$r$, xtick pos=bottom]
+\end_layout
+
+\begin_layout Plain Layout
+
+
+\backslash
+addplot[only marks] table [x=r, y=tt] {podatki.tsv};
+\end_layout
+
+\begin_layout Plain Layout
+
+
+\backslash
+addplot[green] (x, {x*(0.425193+0.02904)});
+\end_layout
+
+\begin_layout Plain Layout
+
+
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+
+\backslash
+addplot[red] (x, {x*(0.425193)});
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+
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+end{axis}
+\end_layout
+
+\begin_layout Plain Layout
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+
+\backslash
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+\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 kvadrata nihajnega časa v odvisnosti od polmera.
+\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
+
+fit (x*p) 
+\begin_inset Quotes gld
+\end_inset
+
+podatki.tsv" using 2:6 via p
+\end_layout
+
+\begin_layout Plain Layout
+
+
+\backslash
+end{lstlisting}
+\end_layout
+
+\end_inset
+
+
+\begin_inset Formula 
+\[
+p=\SI{0,425193}{\second\squared\per\meter}\pm\SI{0,02904}{\second\squared\per\meter}
+\]
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Enumerate
+Naklon premice izrazi z maso zamaška in uteži in ga tako tudi izračunaj.
+\begin_inset Formula 
+\[
+k=\frac{{t^{2}}}{r}=\frac{{4\pi^{2}}}{a_{r}}=\frac{{4\pi^{2}m_{\text{{uteži}}}}}{gm_{\text{{uteži}}}}=\SI{0,461805}{\second\squared\per\meter}
+\]
+
+\end_inset
+
+Izračunana vrednost je izven standardne napake, vendar ne pretirano.
+\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]{meritev.py}
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\end_body
+\end_document