A car is travelling 44 feet per second (30 miles/hour). What is the angular velocity of its 22 inch diameter wheels, in revolutions per minute?

1 Answer
Dwight
Feb 2, 2018

The wheel rotate #1440/pi# revolutions per minute (about 458 revolutions per minute).

Explanation:

If the wheels have a 22-inch diameter, they have a #22*pi# inch circumference.

If the car is travelling at 44 feet per second, this is #44xx12=528# inches per second

Because each 1 rotation of the wheels moves the car #22pi# inches, the wheels will turn

#528/(22pi) = 24/pi# times per second or #(24xx60)/pi = 1440/pi#
revolutions per minute (which is about 458 revolutions per minute).

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