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Determine the number of revolutions completed by the fan after it is turned off.
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Answer to Problem 41PPS
The fan will complete
Explanation of Solution
Given:
A fan is running at 10 revolutions per second. After it is turned off, its speed decreases at a rate of 75% per second. Determine the number of revolutions completed by the fan after it is turned off.
Concept Used:
The number of revolutions completed in each second after the fan is switched off forms a geometric series.
The initial speed is 10 revolutions per second, so
The speed decreases at a rate of 75% per second. Therefore, the number of revolution completed in any second is 25% of the revolutions completed in the previous second. So,
Now use the sum formula:
Calculation:
Thus, the fan will complete
Chapter 10 Solutions
Glencoe Algebra 2 Student Edition C2014
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