<PRE><B>Question 1026258</B>
A bicycle is traveling 32 miles per hour. The bicycle wheel is 27 inches in diameter. The back wheel chain sprocket is 3 inches in diameter. The pedal chain sprocket is 10 inches in diameter.
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a)How many revolutions per second are the pedals turning?
Step 1, find the angular speed of the wheel.
32 mi/hr = 32*22/15 ft/sec = 32*22*12/15 inch/sec
= 563.2 inch/sec
Each rev = 27*pi inches.
563.2/(27pi) =~ 6.6397 rev/sec
Pedals turn (3/10)*wheel
1.9919 rev/sec

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b)What is the angular speed of the pedals?
= 1.9919*2*pi
=~ 12.5156 rad/sec</PRE>