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A wheel is rotating about an axis perpendicular to the

University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman ISBN: 9780321675460 31

Solution for problem 21DQ Chapter 9

University Physics | 13th Edition

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University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman

University Physics | 13th Edition

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Problem 21DQ

A wheel is rotating about an axis perpendicular to the plane of the wheel and passing through the center of the wheel. The angular speed of the wheel is increasing at a constant rate. Point A is on the rim of the wheel and point B is midway between the rim and center of the wheel. For each of the following quantities, is its magnitude larger at point A or at point B, or is it the same at both points? (a) angular speed; (b) tangential speed; (c) angular acceleration; (d) tangential acceleration; (e) radial acceleration. Justify each answer.

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Solution 21DQ To solve this question, we shall have to take some relations in hand. v I. Angular speed = r , v is linear speed and r is the radius II. Tangential speed v = t , a III. Angular acceleration = r, a is tangential acceleration IV. Tangential acceleration a = t V. Radial acceleration a = r r 2 (a) The point A is far away from the axis of rotation, hence angular speed will be larger at the point B for its proximity to the axis of rotation. (I) (b) Here, point A is farther from the rotation axis than point B. So, tangential speed at A will be greater. (II) (c) Angular acceleration will be greater at B, since it is closer to rotation axis. (III) (d) Tangential acceleration will be greater at A as it is farther from the rotation axis than B. (IV) (e) Radial acceleration will also be greater at A. (V)

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Chapter 9, Problem 21DQ is Solved
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Textbook: University Physics
Edition: 13
Author: Hugh D. Young, Roger A. Freedman
ISBN: 9780321675460

This full solution covers the following key subjects: wheel, point, angular, speed, acceleration. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. This textbook survival guide was created for the textbook: University Physics, edition: 13. The full step-by-step solution to problem: 21DQ from chapter: 9 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. Since the solution to 21DQ from 9 chapter was answered, more than 338 students have viewed the full step-by-step answer. University Physics was written by and is associated to the ISBN: 9780321675460. The answer to “A wheel is rotating about an axis perpendicular to the plane of the wheel and passing through the center of the wheel. The angular speed of the wheel is increasing at a constant rate. Point A is on the rim of the wheel and point B is midway between the rim and center of the wheel. For each of the following quantities, is its magnitude larger at point A or at point B, or is it the same at both points? (a) angular speed; (b) tangential speed; (c) angular acceleration; (d) tangential acceleration; (e) radial acceleration. Justify each answer.” is broken down into a number of easy to follow steps, and 99 words.

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