diff options
Diffstat (limited to 'fiz/naloga/predstavitev/dokument.tex')
| -rw-r--r-- | fiz/naloga/predstavitev/dokument.tex | 33 |
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} |