SOLUTION: I have a word problem. The distance from Philadelphia and Sea Isla City is 100 miles. A car was driven this distance using tires with a radius of 14 inches. How many revolutions

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Question 152934: I have a word problem.
The distance from Philadelphia and Sea Isla City is 100 miles. A car was driven this distance using tires with a radius of 14 inches. How many revolutions of each tire occurred on the trip?
I would like to learn how to break down the equation if I may.
Many thanks!!

Answer by scott8148(6628)   (Show Source): You can put this solution on YOUR website!
when a disc (tire) is rolling, the disc travels a distance of one circumference for each revolution

the circumference is 2*pi*r, in this case 28*pi inches

there are 12 inches in a foot and 5280 feet in a mile, so the trip distance (in inches) is 100*5280*12

so the number of revolutions is (100*5280*12)/(28*pi)

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