Question

A ball is being rotated in a circle of radius 5 m with a constant tangential velocity of 20 m/s. A stone is also being rotated in a circle of radius 4 m with a constant tangential velocity of 16 m/s. Which one of the following choices is true about both the circular motions?

(a) Both have same angular velocity

(b) Both have different angular velocity

(c) Angular velocity of ball > angular velocity of stone

(d) Angular velocity of stone > angular velocity of ball

I got this question in unit test.

This interesting question is from Uniform Circular Motion topic in division Motion in a Plane of Physics – Class 11

Answer 1

Correct choice is (a) Both have same angular velocity

The best explanation: Angular velocity = Tangential velocity/Radius. When we put in the values and calculate the angular velocities for each of the circular motions, we see that both the angular velocities are equal to each other and the value is 4 rad/s.