Question

An object has an angular velocity. It also has an angular acceleration due to torques that are present. Therefore, the angular velocity is changing. What happens to the angular velocity in the following cases? (a) additional torques are applied so as to make the net torque suddenly equal to zero

Answer 1

Answer:

 α = 0 ,    w = w₀

Explanation:

Torque is related to angular acceleration by Newton's second law for rotational motion.

        τ = I α

Where τ is the torque, I the moment of inertia and α the angular acceleration.

If we apply an external torque for the sum of all torques to be zero, the angular acceleration must fall to zero

         α = 0

 

Since the acceleration is zero, the angular velocity you have at that time is constantly killed.

           w = w₀ + α t

          w = w₀ + 0