Assume that the tire in Problem P8.1 is now sitting on ice spinning with the same rotati...

Assume that the tire in Problem P8.1 is now sitting on ice spinning with the same rotational velocity, but not translating forward. Determine the velocities of points at the top of the tire and at the bottom of the tire where it contacts the ice. Also, identify the direction of these velocities.

Reference: Problem P8.1

An automobile travels at 30 mph, which is also the speed of the center C of the tire (Figure P8.1). If the outer radius of the tire is 15 in., determine the rotational velocity of the tire in the units of rad/s, deg/s, rps, and rpm.