Thursday, January 19, 2012

The diameter of the wheels on your car (including the tires) is 25 inches. You are going to drive 499 miles to?

The diameter of the wheels on your car (including the tires) is 25 inches. You are going to drive 499 miles today. Each of your wheels is going to turn by an angle of ___ degrees.

Hint: A mile has 5280 feet, a foot has 12 inches, and the circumference of a circle with a diameter equals .The diameter of the wheels on your car (including the tires) is 25 inches. You are going to drive 499 miles to?
C = (pi)d = 78.5 in

(499 mi)(5280 ft/mi)(12 in/ft) = 31616640 in

31616640in/78.5 in/rev = 402759.75 revolutions

402759.75(360) = 144993508 degreesThe diameter of the wheels on your car (including the tires) is 25 inches. You are going to drive 499 miles to?
A circumference of a circle is 3.1416 * diameter



diameter of the tire = 25 inches



So the circumference of the tire is 25 * 3.1416 = 78.54 inches.



A mile has 5280 * 12 = 63,360 inches



499 miles = 31,616,640 inches



Answer: The tires will rotate 360 degrees (apx 402,555 times)



Of course all they wanted was the degrees, all the extra math was diversion. ;)



You can't turn more that 360 degrees, that's a full circle and you start again.



But just for kicks 360 degrees times 402,555 = 144,919,664 degrees.The diameter of the wheels on your car (including the tires) is 25 inches. You are going to drive 499 miles to?
((5289 x 12 x 499) / 25 pi) x 360

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