Concept explainers
To calculate:
The number of revolutions the flywheel will make before stopping.
Answer to Problem 42E
The number of revolutions the flywheel will make before stopping is
Explanation of Solution
Given information:
Francisco designs a toy with a rotary flywheel that rotates at a maximum speed of 170 revolutions per minute. Suppose the flywheel is operating at its maximum speed for one minute and then the power supply to the toy is turned off. Each subsequent minute hereafter, the flywheel rotates two-fifths as many times as in the preceding minute.
Calculation:
From the given information,
First rotations of the flywheel
Second height of the basketball
Third height of the basketball
So, this infinite series is:
The general form of the geometric series is
The geometric sum of the ball is the total vertical distance of the ball travels before coming to rest.
The expression for the geometrical sum is:
The total vertical distance travelled by the ball is:
Thus, the number of revolutions the flywheel will make before stopping is
Chapter 12 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Additional Math Textbook Solutions
University Calculus: Early Transcendentals (4th Edition)
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Calculus: Early Transcendentals (3rd Edition)
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