work-energy (torque)

Question

Constant torque τ turns wheel through angle θ. Work done equals?

RankGuru · Accepted Answer

1. **Definition of Work**: In linear motion, $W = \int F \cdot dx = Fs$ (for constant force).
2. **Rotational Analogue**: In rotational motion, the work done by a torque is the integral of torque over angular displacement.
3. **Calculation**: $W = \int 	au \, d	heta$. 
4. **Constant Condition**: For a constant torque $	au$, this simplifies to $W = 	au \Delta 	heta$.
5. **Conclusion**: Work done is exactly **$	au 	heta$**.

Rank Guru

work-energy (torque)

Select the correct option: