To maintain a rotor at a uniform angular ...

Systems of Particles and Rotational Motion

Question : 15 of 33

Marks: +1, -0

To maintain a rotor at a uniform angular speed of

200 \text{ 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:

Here, angular velocity,

w = 200 \text{ rad s}^{-1}

Torque,

\tau = 180 \text{ Nm}

Power,

P = ?

Power,

P = \tau w

P = 180 \times 200 = 36000 \text{ watt} = 36 \text{ kW}

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