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Question

To maintain a rotor at a uniform angular speed of $$200\ rad\ s^{-1}$$, an engine needs to transmit a torque of 180 N m. What is the power required by the engine ? (Note: uniform angular velocity in the absence of friction implies zero torque. In practice, applied torque is needed to counter frictional torque). Assume that the engine is 100% efficient.


Solution

Given: The angular speed of the rotor is $$200\ rad/s$$.
The torque needed to be transmitted by the engine is $$180\ Nm$$.

The power of the rotor required to transmit energy to apply a torque $$\tau$$ to rotate a motor with angular speed $$\omega,$$ 
$$P=\tau\omega$$
$$=180\times 200W$$
$$=36kW$$

Physics
NCERT
Standard XI

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