Torque

Question

A force of 10 N is applied at a distance of 0.5 m from the axis of rotation perpendicular to the force. What is the torque?

RankGuru · Accepted Answer

1. **Torque Formula**: $\vec{	au} = \vec{r} 	imes \vec{F}$. In magnitude, $	au = r F \sin 	heta$.
2. **Angle Identity**: 'Perpendicular' means the angle between the position vector and force is $90^\circ$.
3. **Data**: $r = 0.5$ m, $F = 10$ N, $\sin 90^\circ = 1$.
4. **Calculation**: $	au = 0.5 	imes 10 	imes 1 = 5$ N·m.
5. **Concept**: Torque is the rotational analogue of force, determining the angular acceleration imparted.

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