Question

A ball tied at the end of a perfect string tied tightly (assume fixed) to a wooden bar at the other end is rotating with constant angular velocity. Its tangential velocity will

• A. Increase with time
• B. Decrease with time
• C. Will remain constant
• D. Will decrease exponentially

Hint:

If the angular velocity is constant, the tangential velocity remains constant as long as the radius remains unchanged.

Answer 1

The Correct Option is C

Step 1: Relate tangential velocity to angular velocity.
The tangential velocity \( v \) is related to angular velocity \( \omega \) by the equation: \[ v = r \omega \] where \( r \) is the radius and \( \omega \) is the angular velocity.
Step 2: Analyze the motion.
Since the problem states that the angular velocity is constant, and the radius of the rotation does not change, the tangential velocity will remain constant as well.