   Chapter 6.3, Problem 45E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

For the drawing in Exercise 44, 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? 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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