You are participating in league bowling with your friends. Time after time, you notice that your bowling ball rolls back to you without slipping on the flat section of track. When the ball encounters the slope that brings it up to the ball return, it is moving at 3.70 m / s . The length of the sloped part of the track is 2.50 m . The radius of the bowling ball is  11.5 cm.  What is the angular speed of the ball before it encounters the slope?