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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

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BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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For the drawing in Exercise 42, suppose that the larger gear has 20 teeth and the smaller gear has 10 (the gear ratio is 2:1). If the smaller gear rotates through an angle of 90 through what angle measure does the larger gear rotate?

Chapter 6.3, Problem 43E, For the drawing in Exercise 42, suppose that the larger gear has 20 teeth and the smaller gear has

To determine

To measure:

The angle does the larger gear rotate.

Explanation

Consider the following condition,

“If the larger gear has 20 teeth and the smaller gear has 10 (the gear ratio is 2:1). If the smaller gear rotates through an angle of 90

The angle between two teeth in the larger gear is,

θL=360no.of.teeth=36020=18

The angle between two teeth in the smaller gear is,

θS=360no.of.teeth=36010=36

When the smaller gear rotates 90 then number of teeth has moved is given below,

no.of

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