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author | Anton Luka Šijanec <anton@sijanec.eu> | 2022-10-12 14:03:56 +0200 |
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committer | Anton Luka Šijanec <anton@sijanec.eu> | 2022-10-12 14:03:56 +0200 |
commit | bf14da5c9d19367215661fbefa5f526ce9ddabb2 (patch) | |
tree | af82ebd52eb030fcaac4e74e29b9ea2c5631a363 /fiz/vaje/2/dokument.lyx | |
parent | popravki vaje 2 (diff) | |
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Diffstat (limited to 'fiz/vaje/2/dokument.lyx')
-rw-r--r-- | fiz/vaje/2/dokument.lyx | 97 |
1 files changed, 66 insertions, 31 deletions
diff --git a/fiz/vaje/2/dokument.lyx b/fiz/vaje/2/dokument.lyx index 3cc5ffb..f204b97 100644 --- a/fiz/vaje/2/dokument.lyx +++ b/fiz/vaje/2/dokument.lyx @@ -174,6 +174,13 @@ Potek dela \begin_layout Subsection Spreminjanje lege po klancu kotaleče se kroglice s časom +\begin_inset CommandInset label +LatexCommand label +name "subsec:Spreminjanje-lege-po" + +\end_inset + + \end_layout \begin_layout Enumerate @@ -206,7 +213,7 @@ Kroglico spusti po klancu in izmeri, koliko časa kroglica potuje prvih \begin_inset Float table -placement h +placement H wide false sideways false status open @@ -720,10 +727,6 @@ status open \end_inset - -\begin_inset Newline newline -\end_inset - Gre za enakomerno pospešeno gibanje, kar je razvidno iz dejstva, da \begin_inset Formula $d$ \end_inset @@ -771,12 +774,12 @@ begin{lstlisting} \begin_layout Plain Layout -fit sqrt(x*a) "podatki.tsv" using 1:6 via a +fit sqrt(x*q) "podatki.tsv" using 1:6 via q \end_layout \begin_layout Plain Layout -fit (x*b) +fit (x*p) \begin_inset Quotes gld \end_inset @@ -784,7 +787,7 @@ podatki.tsv \begin_inset Quotes grd \end_inset - using 1:7 via b + using 1:7 via p \end_layout \begin_layout Plain Layout @@ -797,10 +800,28 @@ end{lstlisting} \end_inset in dobimo vrednosti parametrov -\begin_inset Formula $a=12,9273$ +\begin_inset Formula $q=12,9273$ \end_inset - s standardno napako + s standardno napako +\begin_inset Foot +status open + +\begin_layout Plain Layout +Standardni odklon se izračuna po enačbi +\begin_inset Formula +\[ +\sigma_{\overline{{x}}}=\sqrt{{\frac{{\mathop{\sum_{i=0}^{n}\left(x_{i}-\overline{{x}}\right)^{2}}}}{{n}}}}\text{{.}} +\] + +\end_inset + + +\end_layout + +\end_inset + + \begin_inset Formula $\pm0,6204$ \end_inset @@ -809,7 +830,7 @@ in dobimo vrednosti parametrov \end_inset in -\begin_inset Formula $b=\SI{13,3468}{\meter\per\second\squared}$ +\begin_inset Formula $p=\SI{13,3468}{\second\squared\per\meter}$ \end_inset s standardno napako @@ -822,7 +843,7 @@ in dobimo vrednosti parametrov . -\begin_inset Formula $b$ +\begin_inset Formula $p$ \end_inset je koeficient premice na grafu @@ -835,39 +856,26 @@ noprefix "false" \end_inset -, torej iskani pospešek. -\begin_inset Newline newline -\end_inset - -Standardna napaka -\begin_inset Foot -status open - -\begin_layout Plain Layout -Standardni odklon se izračuna po enačbi +, torej obratna vrednost iskanega pospeška. + Pospešek je tedaj \begin_inset Formula \[ -\sigma_{\overline{{x}}}=\sqrt{{\frac{{\mathop{\sum_{i=0}^{n}\left(x_{i}-\overline{{x}}\right)^{2}}}}{{n}}}}\text{{.}} +a=p^{-1}=\SI{0,0749243264}{\meter\per\second\squared} \] \end_inset - -\end_layout - -\end_inset - - pospeška je +Standardna napaka pospeška je \begin_inset Formula \[ -\sigma_{\overline{{t^{2}}}}=\SI{0,2407}{\meter\per\second\squared}\text{{.}} +\pm0,01803a=\pm\SI{0,0013508856}{\meter\per\second\squared} \] \end_inset \begin_inset Float figure -placement h +placement H wide false sideways false status open @@ -1069,6 +1077,7 @@ sideways false status open \begin_layout Plain Layout +\align center \begin_inset Tabular <lyxtabular version="3" rows="2" columns="11"> <features tabularvalignment="middle"> @@ -1348,6 +1357,22 @@ status open \end_layout \begin_layout Enumerate +Izmeri dolžino klanca in oceni napako meritve! +\begin_inset Newline newline +\end_inset + + +\begin_inset Formula +\[ +l=\SI{1}{\meter}\pm\left(<\SI{1}{\milli\meter}\right) +\] + +\end_inset + + +\end_layout + +\begin_layout Enumerate Izračunaj povprečno hitrost ter zapiši rezultat z absolutno in relativno napako. \begin_inset Formula @@ -1377,7 +1402,17 @@ v_{\text{{max}}}=2\overline{{v}} \end_inset +Ta pospešek se ujema z izmerjenim pospeškom iz naloge +\begin_inset CommandInset ref +LatexCommand ref +reference "subsec:Spreminjanje-lege-po" +plural "false" +caps "false" +noprefix "false" + +\end_inset +. \end_layout \begin_layout Subsection |