
Concept explainers
Find the number of revolutions the smaller gear makes in that time.

Answer to Problem 43HP
The smaller gear makes 96 number of revolution.
Explanation of Solution
Given:
A gear that is 8 inches in diameter turns a smaller gear that is 3 inches in diameter. If the larger gear makes 36 revolutions, how many revolutions does the smaller gear make in that time?
Concept Used:
A gear covers distance in 1 revolution is its circumference.
Calculation:
A gear covers distance in 1 revolution is its circumference.
Distance covers the big gear in 1 revolution with 8 inches diameter =
Distance covers the big gear in 36 revolutions =
Distance covers the small gear in 1 revolution with 3 inches diameter =
Let the number of revolution the smaller gear makes = x
Distance covers the small gear in x revolutions =
The required equation:
Distance covers the big gear in 36 revolutions = Distance covers the small gear in x revolutions
The smaller gear makes 96 number of revolution.
Thus, the smaller gear makes 96 number of revolution.
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