Person sits on a frictionless stool that is free to try ate but is initially at rest. The person is holding a bicycle wheel (I = 3 kg*m2) that is rotating at 8 Ree/s in a clockwise direction as viewed from above, and the moment of inertia of the person-wheel-stool system is 9 kg *m2.

1. What is the magnitude of the angular velocity of the PWS?
2. What is the magnitude of the angular momentum of the PES?
3. What is the magnitude of the angular acceleration of the person-wheel-stool system?