Question

In the child's game of tetherball, a rope attached to the top of a tall pole is tied to a ball. Players hit the ball in opposite directions in an attempt to wrap the ball and rope around the pole. Assume the rope has negligible mass and that resistive forces, such as air resistance and friction, can be neglected. As the ball wraps around the pole between hits, how does the angular speed of the ball change? a.it decreases b. it stays the same c.it increases

Answer 1

Answer:

option C

Explanation:

the ball is moving circular around the pole

Angular momentum of the system is constant

              J = I ω

now,

               $\omega\ \alpha\ \dfrac{1}{I}$

               $\omega\ \alpha\ \dfrac{1}{mr^2}$

               $\omega\ \alpha\ \dfrac{1}{r^2}$

the rope radius is decreasing as it revolving around the pole

angular speed is inversely proportional to radius.

so, the angular speed will increase.

The correct answer is option C