# Angular velocity.?

Suppose a car runs over a nail while driving at a speed of 61 miles per hour, and the nail is lodged in the tire tread 18 inches from the center of the wheel. What is the angular velocity in radian per hour? What about revolutions per minute?

### 1 Answer

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- az_lenderLv 73 weeks ago
A CAR has tires that are 36" in diameter? Weird!

Oh well.

If the wheel's radius is 18", then 3 feet = 2 radians, and 1 mile = 5280 ft = 3520 radians, so

61 mph = 61*3520 rad/hr = use calculator.

To find rev/min, divide the rad/hr by 120pi.

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