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Solved: At t = 0 a grinding wheel has an angular velocity
Chapter 9, Problem 16E(choose chapter or problem)
Problem 16E
At t = 0 a grinding wheel has an angular velocity of 24.0 rad/s. It has a constant angular acceleration of 30.0 rad/s2 until a circuit breaker trips at t = 2.00 s. From then on, it turns through 432 rad as it coasts to a stop at constant angular acceleration. (a) Through what total angle did the wheel turn between t = 0 and the time it stopped? (b) At what time did it stop? (c) What was its acceleration as it slowed down?
Questions & Answers
QUESTION:
Problem 16E
At t = 0 a grinding wheel has an angular velocity of 24.0 rad/s. It has a constant angular acceleration of 30.0 rad/s2 until a circuit breaker trips at t = 2.00 s. From then on, it turns through 432 rad as it coasts to a stop at constant angular acceleration. (a) Through what total angle did the wheel turn between t = 0 and the time it stopped? (b) At what time did it stop? (c) What was its acceleration as it slowed down?
ANSWER:Step 1 of 6
Apply the constant angular acceleration equations separately to the time intervals to and until the wheel stops.
Consider the motion from to
The angular acceleration is constant. Thus, we will apply the equations of rotation with a constant angular acceleration model.