physics question?

Question

A pitcher throws a curveball that reaches the catcher in 0.49 s. The ball curves because it is spinning at an average angular velocity of 360 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

the angular displacement = angular velocity * time

the angular velocity of 360 rev / min must be converted into radians per second. There are 2 pi radians in a revolution and 60 seconds in a minute. Once you have the conversion done, you can solve for angular displacement. The answer will be in radians.

Or you could express the angular velocity in degrees per second (there are 360 degrees in a revolution) and get the answer in degrees, but radians is the preferred measure of angle in most problems like this.