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Torque for Perpendicular Force

Torque for a perpendicular force, abbreviated as \(\tau\) (Greek symbol tau), is the rotational effect produced when a force acts at a right angle (90 degrees) to a lever arm or the distance from the axis of rotation.  It measures how effectively a force can cause an object to rotate around a pivot point.  When the force is applied perpendicularly, the torque generated is at its maximum because the entire magnitude of the force contributes to rotation.   

Torque for Perpendicular Force Formula

 \( \tau \;=\; r \cdot F  \)     (Torque for Perpendicular Force)

\( r \;=\; \dfrac{ \tau }{ F } \)

\( F \;=\; \dfrac{ \tau }{ r } \)

Symbol English Metric
\( \tau \)  (Greek symbol tau) = Torque \(lb-ft\) \(N-m\)
\( r \) = Radius \(in\) \(mm\)
\( F \) = Force \(lbf\) \(N\)

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