Question

A pitcher throws a curveball that reaches the catcher in 0.56 s. The ball curves because it is spinning at an average angular velocity of 310 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 = = 310 rev/min = 310 x (2/60) rad/s = 32.46 rad/s

Time taken by the ball to reach the catcher = T = 0.56 sec

Angular displacement of the baseball =

= T

= (32.46)(0.56)

= 18.18 rad

Angular displacement of the baseball as it travels from the pitcher to the catcher = 18.18 rad