To maintain a rotor at a uniform angular speed of 200 rad/s, an engine needs to transmit a torque of

Question

To maintain a rotor at a uniform angular speed of 200 rad/s, an engine needs to transmit a torque of 180 Nm. What is the power required by the engine? (Assume the engine is 100% efficient)

Professor PC Thomas Classes · Answer

The power $P$ associated with torque $	au$ and angular velocity $\omega$ is given by the relation $P = 	au\omega$. Substituting the given values: $P = 180	ext{ Nm} 	imes 200	ext{ rad/s} = 36000	ext{ W} = 36	ext{ kW}$.