   Chapter 6.3, Problem 44E 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

If the larger gear has 30 teeth and smaller gear has 18 then the gear ratio (larger to smaller is 5:3. When the larger gear rotates through an angle of 60 ∘ , through what angle measure does the smaller gear rotate? To determine

To measure:

The angle does the smaller gear rotate.

Explanation

Consider the following condition,

“If the larger gear has 30 teeth and smaller gear has 18 then the gear ratio (larger to smaller is 5:3). When the larger gear rotates through an angle of 60

The angle between two teeth in the larger gear is,

θL=360no.of.teeth=36030=12

The angle between two teeth in the smaller gear is,

θS=360no.of.teeth=36018=20

When the larger gear rotates 60 then number of teeth has moved is given below,

no.of

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