power in rotation

Question

Rotational power delivered by torque τ at angular speed ω equals?

RankGuru · Accepted Answer

1. **Definition of Power**: Power is the rate of doing work ($P = dW/dt$).
2. **Work Formula**: We know $dW = 	au \, d	heta$.
3. **Differentiation**:
   - $P = \frac{dW}{dt} = 	au \frac{d	heta}{dt}$.
4. **Substitute Variable**: Since $d	heta/dt = \omega$ (angular velocity):
   - $P = 	au \omega$.
5. **Conclusion**: Rotational power is the product of **torque and angular velocity** ($P = 	au \omega$).

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power in rotation

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