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Get Full Access to University Physics - 13 Edition - Chapter 10 - Problem 83p
Get Full Access to University Physics - 13 Edition - Chapter 10 - Problem 83p

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# A 42.0-cm-diameter wheel, consisting of a rim and six ISBN: 9780321675460 31

## Solution for problem 83P Chapter 10

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

Step 3 of 6

##### ISBN: 9780321675460

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