To maintain a rotor at a uniform angular speed or 200 rad `s^(-1)` an engine needs to transmit a torque of 180 Nm. 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.

Explanation

Given uniform angular speed (`omega` ) - 200 rad `s^(-1)`
Torque, `tau` = 180 N-m, But power p = `tau omega`
`therefore P =180 xx 200 = 36000` watt = 36 kW