torquerotational motion

1001 Torque

τ=Fl=rFsinϕ=Ftanr\begin{aligned} \tau = Fl = rF\sin \phi = F_{tan} r \end{aligned}

τ\tau - Magnitude of torque due to force F\vec F relative to point O.
ll - Level arm of F\vec F.
ϕ\phi - Angular between r\vec r and F\vec F.
FtanF_{tan} - Tangential component of F\vec F.
rr - Magnitude of r\vec r from O to where F\vec F acts.

Exercises