Added Torque to equations

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Stein_van_vliet 2024-03-22 19:45:30 +01:00
parent cff743de3d
commit 4fb9bf3d3c

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@ -119,7 +119,10 @@
&= 0.1 \cdot 14.715 \\ &= 0.1 \cdot 14.715 \\
&= 1.4715 & [N]\\ &= 1.4715 & [N]\\
\\ \\
F_{aand} &= F_{rol} F_{aand} &= F_{rol} \\
\\
T_{as} &= F_{aand} \cdot r \\
&=F_{rol} \cdot r & [Nm]
\end{align*} \end{align*}
\subsubsection{Versnellen} \subsubsection{Versnellen}
@ -131,6 +134,10 @@
F_{aand} &= F_{eff} + F_{rol} \\ F_{aand} &= F_{eff} + F_{rol} \\
&= 1.05 + 1.4715 \\ &= 1.05 + 1.4715 \\
&= 2.5215 & [N] &= 2.5215 & [N]
\\
T_{as} &= F_{aand} \cdot r \\
&=(F_{eff}+F_{rol}) \cdot r \\
&=0.378225 & [Nm]
\end{align*} \end{align*}
\subsubsection{Vertragen} \subsubsection{Vertragen}
@ -142,6 +149,10 @@
F_{aand} &= F_{rol} - F_{eff} \\ F_{aand} &= F_{rol} - F_{eff} \\
&= 1.4715 - 0.75 \\ &= 1.4715 - 0.75 \\
&= 0.7215 & [N] &= 0.7215 & [N]
\\
T_{as} &= F_{aand} \cdot r \\
&=(F_{eff}-F_{rol}) \cdot r \\
&=0.108225 & [Nm]
\end{align*} \end{align*}
\subsection{Dalende ondergrond} \subsection{Dalende ondergrond}
@ -182,6 +193,9 @@
&= F_{aand} + 5.03 - 1.3743 = 0\\ &= F_{aand} + 5.03 - 1.3743 = 0\\
F_{aand} &= 1.3743 - 5.03\\ F_{aand} &= 1.3743 - 5.03\\
&= -3.6557 & [N] &= -3.6557 & [N]
\\
T_{as} &= F_{aand} \cdot r \\
&=-0.548355 & [Nm]
\end{align*} \end{align*}
De motor moet in dit geval dus tegenkracht leveren om de kar op en constante snelheid te houden. De motor moet in dit geval dus tegenkracht leveren om de kar op en constante snelheid te houden.
@ -199,6 +213,10 @@
F_{aand} &= F_{z2} + F_{rol}\\ F_{aand} &= F_{z2} + F_{rol}\\
&= 5.03 + 1.3743\\ &= 5.03 + 1.3743\\
&= 6.4043 & [N] &= 6.4043 & [N]
\\
T_{as} &= F_{aand} \cdot r \\
&=(F_{z2}+F_{rol}) \cdot r \\
&=0.960645 & [Nm]
\end{align*} \end{align*}
\subsection{Slip} \subsection{Slip}