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Physics / Sears and Zemansky's University Physics with Modern Physics 13 / Chapter 9 / Problem 9.8

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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Solved: A wheel is rotating about an axis that is in the

Chapter 9, Problem 9.8

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QUESTION:

A wheel is rotating about an axis that is in the z-direction. The angular velocity \(w_{z}\) is -6.00 rad/s at t = 0, increases linearly with time, and is +8.00 rad/s at t = 7.00 s. We have taken counterclockwise rotation to be positive. (a) Is the angular acceleration during this time interval positive or negative? (b) During what time interval is the speed of the wheel increasing? Decreasing? (c) What is the angular displacement of the wheel at

Text Transcription:

w_z

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QUESTION:

A wheel is rotating about an axis that is in the z-direction. The angular velocity \(w_{z}\) is -6.00 rad/s at t = 0, increases linearly with time, and is +8.00 rad/s at t = 7.00 s. We have taken counterclockwise rotation to be positive. (a) Is the angular acceleration during this time interval positive or negative? (b) During what time interval is the speed of the wheel increasing? Decreasing? (c) What is the angular displacement of the wheel at

Text Transcription:

w_z

ANSWER:

Step 1 of 4

We have a wheel rotating about an axis that is in the z-direction. The angular velocity increases linearly with time, and we have taken counterclockwise rotation to be positive

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