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authorsijanec <anton@sijanec.eu>2021-06-01 20:51:30 +0200
committersijanec <anton@sijanec.eu>2021-06-01 20:51:30 +0200
commitad80953b886b7f8924a32ed01294de8b23fccce1 (patch)
tree59ec7ca3d14360cd049ca542dc62508c9684c895 /fiz/naloga/predstavitev/dokument.tex
parentvideoanaliza končana (diff)
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-rw-r--r--fiz/naloga/predstavitev/dokument.tex33
1 files changed, 26 insertions, 7 deletions
diff --git a/fiz/naloga/predstavitev/dokument.tex b/fiz/naloga/predstavitev/dokument.tex
index 265a6a9..b55f26e 100644
--- a/fiz/naloga/predstavitev/dokument.tex
+++ b/fiz/naloga/predstavitev/dokument.tex
@@ -181,9 +181,9 @@
\item \textit{masa plastenke}, \textit{kalibracijski delitelj vage}
\item \textbf{čas, ko je $F_\alpha > F_g$}, \textbf{maksimalna $F_m$ $\rightarrow$ maksimalna $F_\alpha$}, \textbf{povprečna $F_m$/$F_\alpha$}
\item \texttt{začetna količina vode v plastenki ($V_0$): \SI{0,3}{\liter}, \SI{0,6}{\liter} in \SI{0,9}{\liter}}, \texttt{začetni tlak v plastenki ($P_0$): \SI{10}{\kilo\pascal}, \SI{20}{\kilo\pascal}, \SI{30}{\kilo\pascal} in \SI{40}{\kilo\pascal}}
- \item Grafi, s katerimi bodo prikazane meritve: $F_\alpha(t)$, $F_\alpha(P_0)$, $F_\alpha(V_0)$, $\tavg(V_0)$, $\tavg(P_0)$, $š_{max}(V_0, P_0)$ -- predv. viš.
+ \item Grafi, s katerimi bodo prikazane meritve: $F_\alpha(t)$, $F_\alpha(P_0)$, $F_\alpha(V_0)$, $\tavg(V_0)$, $\tavg(P_0)$, $v_{k}(V_0, P_0)$ -- končna hitrost
\item Za vsako kombinacijo volumna in pritiska so bile izvedene tri meritve, katerih povprečje se upošteva
- \item Videoanaliza bo uporabljena za $t_0$ in za $h_\alpha \rightarrow V_\alpha \rightarrow m_\alpha$
+ \item Videoanaliza bo uporabljena za $t_0$ in za $h_\alpha \rightarrow V_\alpha \rightarrow m_\alpha \rightarrow F_{g_\alpha}$
\end{itemize}
\vfill\null\columnbreak
\vspace*{-4cm}
@@ -202,24 +202,25 @@
\begin{multicols}{2}
\begin{itemize}
\item CSV datoteki: $F_m(t)$ in $h_\alpha(t)$
- \item Natančnost: $F_m$: \SI{1}{\centi\newton}, $h_\alpha$: \SI{1}{\milli\meter}
+ \item Natanč.: $F_m$: \SI{1}{\centi\newton}, $h_\alpha$: \SI{1}{\milli\meter}, $t$: \SI[parse-numbers=false]{\frac{1}{11}}{\second}
\item $h_\alpha \rightarrow V_\alpha$:
\end{itemize}
$$
- g(x) = \SI{106}{\milli\liter}+(x-\SI{5,5}{\centi\meter})\cdot\pii(\SI{38,197}{\milli\meter})^2
+ g(x) = \SI{106}{\milli\liter}+(x-\SI{5,5}{\centi\meter})\cdot\pi\cdot(\SI{38,197}{\milli\meter})^2
$$
\[
f(x) =
\begin{dcases}
g(x); & \SI{5,5}{\centi\meter} \leq x \leq \SI{24,5}{\centi\meter} \\
x < \SI{106}{\milli\liter}; & x < \SI{5,5}{\centi\meter} \\
- \SI{947}{\milli\liter} > & \\
+ %\SI{947}{\milli\liter} > & \\
+ \SI{1}{\liter} > & \\
x > \SI{871}{\milli\liter}; & x > \SI{24,5}{\centi\meter}
\end{dcases}
\]
\begin{itemize}
\item $\tavg$: čas, ko je $F_m > \SI{0,5}{\newton}$
- \item Po obdelavi: \{$F_\alpha$, $V_\alpha$\}($t$) in \{$\tavg$, $\overline{F_\alpha}$, $š_{max}$\}(\{$P_0$, $V_0$\})
+ \item Po obdelavi s programom \texttt{obdelaj.c}: \{$F_\alpha$, $V_\alpha$\}($t$) in \{$\tavg$, $\overline{F_\alpha}$, $v_{k}$\}(\{$P_0$, $V_0$\})
\end{itemize}
\vfill\null\columnbreak
\vspace*{-4cm}
@@ -249,10 +250,28 @@
\subsection{Rezultati in komentarji nanje ter ugotovitve}
\begin{frame}
\frametitle{\secname}
+ \framesubtitle{\subsecname}
\begin{multicols}{2}
\begin{itemize}
- \item Obstajajo kombinacije $P_0$ in $V_0$, kjer voda ne bo v celoti izrinjena, ker bo prej $P_\alpha = 0$
+ \item Obstajajo kombinacije $P_0$ in $V_0$, kjer voda ne bo v celoti izrinjena, ker bo prej $P_\alpha = 0$. Bojlov zakon:
+ $$
+ P_1V_1=P_2V_2 \rightarrow
+ $$
+ $$
+ \text{izlito} = P_0\cdot(\SI{1}{\liter}-V_0)-(\SI{1}{\liter}-V_0)
+ $$
+ \item 2. njutnov zakon:
+ \[
+ a=\frac{R}{m} \rightarrow
+ \int_{F_m > \SI{0}{\newton}}^{F_m < \SI{0}{\newton}} \frac{R_\alpha}{m_\alpha} d\alpha = a_k
+ \]
\end{itemize}
+ \vfill\null\columnbreak
+ \vspace*{-4cm}
+ \begin{figure}[H]
+ \centering
+ \includegraphics[width=0.5\textwidth]{kompresor.jpg}
+ \end{figure}
\end{multicols}
\end{frame}