Show that in rotational motion,power is the product of torque and angular velocity - Physics - System Of Particles And Rotational Motion

Question

Show that in rotational motion,power is the product of torque and
angular velocity??

Rajnish Kumar · Accepted Answer

Dear Student
P =dWdt   (here  dW is small amount of work done from work energy theorm)P=d(ζ
θ)dt   (ζ is torque and θ is angular displacement)P=  ζ×d(θ)dt=ζ
ω   (since d(θ)dt=ω angular speed)

regard

Show that in rotational motion,power is the product of torque and angular velocity??