Chapter 8, Problem 1P

To determine

To determine the angular displacement of the curve ball.

Answer to Problem 1P

  $20.72\text{rad}$

Explanation of Solution

Given data:

The time of rotation of ball $t=0.6\text{s}\text{. }$

The angular speed of rotation of ball $\omega =330\text{rev/min=330}\times \text{2}\pi \text{rad/min=34}\text{.54}\text{rad/s}$

Formula used:

For uniform angular speed, angular displacement can be expressed as follows.

  $\theta =\omega t$

Calculation:

Use the equation above to find the angular displacement of the ball thrown, between pitcher and catcher.

  $\begin{array}{c}\theta =\omega t\\ =34.54\times 0.6\\ =20.72\text{rad}\end{array}$

The angular displacement of the ball is $20.72\text{rad}$ .