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Physics / Sears and Zemansky's University Physics with Modern Physics 13 / Chapter 9 / Problem 9.16

Sears and Zemansky's University Physics with Modern Physics | 13th Edition | ISBN: 9780321696861 | Authors: Hugh D. Young; Roger A. Freedman; A. Lewis Ford

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At a grinding wheel has an angular velocity of It has a

Chapter 9, Problem 9.16

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QUESTION:

At t = 0 a grinding wheel has an angular velocity of 24.0 rad/s. It has a constant angular acceleration of \(30.0 \mathrm{rad} / \mathrm{s}^{2}\) 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:

At t = 0 a grinding wheel has an angular velocity of 24.0 rad/s. It has a constant angular acceleration of \(30.0 \mathrm{rad} / \mathrm{s}^{2}\) 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.

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