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A 42.0-cm-diameter wheel, consisting of a rim and six

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

Solution for problem 83P Chapter 10

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 83P

A 42.0-cm-diameter wheel, consisting of a rim and six spokes, is constructed from a thin, rigid plastic material having a linear mass density of 25.0 g/cm. This wheel is released from rest at the top of a hill 58.0 m high. (a) How fast is it rolling when it reaches the bottom of the hill? (b) How would your answer change if the linear mass density and the diameter of the wheel were each doubled?

Step-by-Step Solution:

Solution 83P Step 1: This is the diagram which represents the wheel with six spokes and a rim. Provided, linear mass density of the wheel, = 25 g/ cm We have to convert this from g/ cm to kg / m We know that, 1 kg = 10 g and 1 m = 10 cm 2 Therefore, 1 kg/ m = 10 g / 10 cm = 10 g/ cm 1 g/cm = 10 kg / m Substituting this in equation for linear mass density, we get, -1 = 25 × 10 kg/m = 2.5 kg/m

Step 2 of 6

Chapter 10, Problem 83P is Solved
Step 3 of 6

Textbook: University Physics
Edition: 13
Author: Hugh D. Young, Roger A. Freedman
ISBN: 9780321675460

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A 42.0-cm-diameter wheel, consisting of a rim and six