Concept explainers
Find the speed of a 60-tooth gear meshed with a 36 teeth gear.
Answer to Problem 4MPS
120 revolution/min
Explanation of Solution
Given:
When two meshed gears revolve, their speeds vary inversely as the numbers of teeth they have.A gear with 36 teeth runs at 200 revolutions/min .
Calculation:
Given,
when two meshed gears revolve, their speeds vary inversely as the numbers of teeth they have, so,
So,
A gear with 36 teeth runs at 200 revolutions/min . Find the constant of proportionality:
So, speed of a 60-tooth gear meshed is :
So, the speed of 60-tooth gear is 120 revolution/min.
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Algebra and Trigonometry: Structure and Method, Book 2
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