Question

2.)

A pitcher throws a curveball that reaches the catcher in 0.67 s. The ball curves because it is spinning at an average angular velocity of 260 rev/min (assumed constant) on its way to the catcher's mitt. What is the angular displacement of the baseball (in radians) as it travels from the pitcher to the catcher?

Answer 1

1 revolution = 2 radians

1 minute = 60 seconds

Average angular velocity of the ball = = 20 rev/min

Converting the angular velocity from rev/min to rad/s

= 2.094 rad/s

Time taken by the ball to reach the catcher = T = 0.67 sec

Angular displacement of the ball as it travels to the catcher =

= T

= (2.094)(0.67)

= 1.4 rad

Angular displacement of the ball as it travels from the pitcher to the catcher = 1.4 rad