From 4fb9bf3d3c9665e3293a2025fa2291aeae25dc35 Mon Sep 17 00:00:00 2001 From: Stein_van_vliet Date: Fri, 22 Mar 2024 19:45:30 +0100 Subject: [PATCH] Added Torque to equations --- doc/main.tex | 20 +++++++++++++++++++- 1 file changed, 19 insertions(+), 1 deletion(-) diff --git a/doc/main.tex b/doc/main.tex index 21f3df2..1bc4892 100644 --- a/doc/main.tex +++ b/doc/main.tex @@ -119,7 +119,10 @@ &= 0.1 \cdot 14.715 \\ &= 1.4715 & [N]\\ \\ - F_{aand} &= F_{rol} + F_{aand} &= F_{rol} \\ + \\ + T_{as} &= F_{aand} \cdot r \\ + &=F_{rol} \cdot r & [Nm] \end{align*} \subsubsection{Versnellen} @@ -131,6 +134,10 @@ F_{aand} &= F_{eff} + F_{rol} \\ &= 1.05 + 1.4715 \\ &= 2.5215 & [N] + \\ + T_{as} &= F_{aand} \cdot r \\ + &=(F_{eff}+F_{rol}) \cdot r \\ + &=0.378225 & [Nm] \end{align*} \subsubsection{Vertragen} @@ -142,6 +149,10 @@ F_{aand} &= F_{rol} - F_{eff} \\ &= 1.4715 - 0.75 \\ &= 0.7215 & [N] + \\ + T_{as} &= F_{aand} \cdot r \\ + &=(F_{eff}-F_{rol}) \cdot r \\ + &=0.108225 & [Nm] \end{align*} \subsection{Dalende ondergrond} @@ -182,6 +193,9 @@ &= F_{aand} + 5.03 - 1.3743 = 0\\ F_{aand} &= 1.3743 - 5.03\\ &= -3.6557 & [N] + \\ + T_{as} &= F_{aand} \cdot r \\ + &=-0.548355 & [Nm] \end{align*} 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}\\ &= 5.03 + 1.3743\\ &= 6.4043 & [N] + \\ + T_{as} &= F_{aand} \cdot r \\ + &=(F_{z2}+F_{rol}) \cdot r \\ + &=0.960645 & [Nm] \end{align*} \subsection{Slip}