Explanation Write the expression for angular displacement . θ f − θ i = ω i t + 1 2 α t 2 (I) Here, θ f is the final angular displacement, θ i is the initial angular displacement, α is the angular acceleration, ω i is the initial angular speed, and t is the time. Write the expression for initial angular speed. ω i = ω f − α t (II) Substitute, equation (II) in (I). θ f − θ i = ( ω f − α t ) t + 1 2 α t 2 = ω f t − 1 2 α t 2 (III) Conclusion: Substitute, 37.0 rev for θ f − θ i , 98.0 rad / s for ω f , 3

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN: 9781133104261

Author: Raymond A. Serway, John W. Jewett

Publisher: Cengage Learning

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Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .

Chapter 10, Problem 9P

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The constant angular acceleration of the wheel.

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Chapter 10, Problem 8P

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Principles of Physics: A Calculus-Based Text

Ch. 10.1 - A rigid object is rotating in a counterclockwise...Ch. 10.2 - Consider again the pairs of angular positions for...Ch. 10.3 - Ethan and Joseph are riding on a merry-go-round....Ch. 10.4 - Prob. 10.4QQ Ch. 10.5 - (i) If you are trying to loosen a stubborn screw...Ch. 10.7 - Prob. 10.6QQ Ch. 10.9 - A solid sphere and a hollow sphere have the same...Ch. 10.10 - A competitive diver leaves the diving board and...Ch. 10.12 - Two items A and B are placed at the top of an...Ch. 10 - A cyclist rides a bicycle with a wheel radius of...

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