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  4. To maintain a rotor at a uniform angular speed of 100 rad s-1, an engine needs to transmit torque of 100 N m. The power of the engine is

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Q. To maintain a rotor at a uniform angular speed of $100 \,rad\, s^{-1}$, an engine needs to transmit torque of $100 \,N\, m$. The power of the engine is

System of Particles and Rotational Motion

Solution:

Here, $\omega = 100 \,rad \, s^{-1}, \tau = 100\, N m\,$
As $P = \tau\omega $
$\therefore P= \left(100 \,N \,m\right) \left(100\, rad\, s^{-1}\right) $
$= 10 \times10^{3} W = 10 \,kW$