SOLUTION: A bicycle tire has a diameter of 24 inches. If the tire goes 10 miles an hour, what is the angular velocity of the wheels revolution per minute?

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Question 855091: A bicycle tire has a diameter of 24 inches. If the tire goes 10 miles an hour, what is the angular velocity of the wheels revolution per minute?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Express the circumference, +C+ of the tire
in miles.
+C+=+pi%2Ad+
+C+=+3.14159%2A24+
+C+=+75.398224+
--------------------
( inches ) x ( 1 foot / 12 inches ) x ( 1 mile / 5280 ft ) = miles
+75.398224%2A%28+1%2F12+%29%2A%28+1%2F5280+%29+
+75.398224+%2F+63360+
+C+=+.00119+
------------------------
Convert mi/hr to mi/min
( mi/hr ) x ( hrs / 60 min ) = mi/min
+10%2A%281%2F60%29+=+.16667+ mi/min
-------------------------------
( mi / min ) / ( mi / rev ) = rev / min
+.16667+%2F+.00119+=+140.056+
The angular velocity is 140.056 rev/min
Hope I got it