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July 17th, 2007, 03:38 AM   #1
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Wheel Rotation

Four cable lines are used to pull cable cars up and down the hills of Smallville. Each cable travels at a speed of 9.55 mph, caused by a rotating wheel with a diameter of 8.5 feet. How fast is the wheel rotating?
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July 30th, 2007, 06:32 AM   #2
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The wheel's radius is 4.25 feet, so dividing 9.55 mph by 4.25 feet will give you the wheel's rotational speed (in radians per hour). To evaluate that, you will need to know how many feet there are in a mile (a mile is usually taken to be 5280 feet). Divide by 2pi if you want the speed in revolutions per hour rather than radians per hour.
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