Ncert Exercises & Solutions

Question 7. 15. To maintain a rotor at a uniform angular speed of 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.

Angular speed of the rotor, ω = 200 rad/s
Torque required, τ = 180 Nm

The power of the rotor (P) is related to torque and angular speed by the relation:
P = τω
= 180 × 200 = 36 × 10³
= 36 kW
Hence, the power required by the engine is 36 kW.

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