Question

To maintain the rotor at uniform angular speed at 100radian per second and engine needs to transmit torque of 100newton meter .the power of engine is

Answer 1

Solution :

Given :

A rotor is rotating with uniform angular velocity of magnitude 100 rad/s, to maintain the angular velocity engine needs to transmit torque of magnitude 100N-m

To Find :-

Power of the engine

Formula :-

Formula of power of torque in terms of torque and angular velocity is given by

Power = Torque × Ang. Velocity

Calculation :-

$\implies\sf\:P=\tau\times \omega\\ \\ \implies\sf\:P=100\times 100\\ \\ \implies\underline{\boxed{\bf{\purple{Power=10\:kW}}}}$

Additional information :-

• Power is also defined as wirk done per unit time.
• Power is scalar quantiy.
• Torque is called as moment of force.
• Torque is axial vector quantity.