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Update Afleidingen.tex #12

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6 changes: 3 additions & 3 deletions Samenvatting/Afleidingen.tex
Original file line number Diff line number Diff line change
Expand Up @@ -511,7 +511,7 @@ \section{Afleiding 12}
\begin{equation*}
dE = 2\pi^2f^2dmA^2
\end{equation*}
We kunnen $dm$ herschrijven als $dm = \rho sdx = \rho sdtv$:
We kunnen $dm$ herschrijven als $dm = \rho Sdx = \rho Sdtv$:
\begin{align*}
dE &= 2\pi^2f^2A^2\rho Svdt\\
\frac{dE}{dt} &= 2\pi^2f^2A^2\rho Sv = P
Expand Down Expand Up @@ -543,7 +543,7 @@ \section{Afleiding 13}
\begin{align*}
F_{\text{net}} \Delta t &=dmv'\\
F_{\text{net}}\Delta t &= \rho v\Delta tSv'\\
\Delta PS &= \rho vsv'\\
\Delta PS &= \rho vSv'\\
\Delta P &= \rho vv'
\end{align*}
\newpage
Expand Down Expand Up @@ -745,7 +745,7 @@ \section{Afleiding 19}
Als 2 golven frequenties hebben die zeer dicht bij elkaar liggen, krijgen we kloppingen. We kunnen de druk van beide golven voorstellen als:
\begin{align*}
D_1&=Asin(2\pi f_1t)\\
D-2&=Asin(2\pi f_2t)
D_2&=Asin(2\pi f_2t)
\end{align*}
Door beide op te tellen en de regels van Simpson toe te passen krijgen we:
\begin{equation*}
Expand Down