work done in rotation

Question

A torque of 10 N·m rotates a body through an angle of π radians. What is the work done?

RankGuru · Accepted Answer

1. **Rotational Analogue**: Just as $W = Fd$ in linear motion, $W = 	au 	heta$ in rotation.
2. **Inputs**:
   - Torque $	au = 10$ N·m.
   - Angular displacement $	heta = \pi$ radians.
3. **Calculation**:
   - $W = 10 	imes \pi$.
4. **Result**: $W = 10\pi$ Joules.

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work done in rotation

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