2) A wheel with a 15 cm radius rotating at 3 rad/s begins to speed up. After 5 seconds have passed, the wheel has undergone 23 full rotations. (a) Calculate the angular acceleration of the wheel in units of rad/s during this 5 second interval. (b) Calculate how fast a point, located halfway between the center and the edge of the wheel, is moving in units of m/s at the end of this 5 second interval. (c) Calculate the average angular velocity during this 5 second interval