The typical 19\" whee on a car has a moment of inertia of 2.8 kg m2. Dening counterclockwise motion as positive, answer the following questions; each of these is its own separate calculation, the later parts do not depend on the earlier parts. Problem 1. The wheel is spinning when we apply a torque to ll: over a period of 4 5. If its initial angular velocity is 6 rad/s counterclockwise and the torque applied is 15 N m, what is the wheel's final angular momentum? x 76.8 kg m2 /s Problem 2. A torque of 4 N m is applied to accelerate a wheel from rest. You measure its final angular velocity to be 12 rad/s. How long must the torque have been applied to the wheel? X 18.4 5 Problem 3. Over 12 s, a constant torque is applied to the wheel. Initially, the wheel was moving 6 rad/s clockwise, but after the torque is applied, it is moving 6 rad/s countercloclese. What torque was applied to the wheel? x 12.8Nm