Q1. At t=0 a grinding wheel has an angular velocity of 30.0 rad/s. It has a constant angular acceleration of 31.0 rad/s^2 until a circuit breaker trips at time t = 2.00 s. From then on, it turns through an angle 428 rad as it coasts to a stop at constant angular acceleration.
1. Through what total angle did the wheel turn between t=0 and the time it stopped?
2. At what time did it stop?
3. What was the wheel's angular acceleration as it slowed down?
Q2. A 55.0kg skateboarder wants to just make it to the upper edge of the "quarter pipe," a track that is one-quarter of a circle with the radius of 2.50 m.