SOLUTION: 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 i

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Question 1026258: 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.
a)How many revolutions per second are the pedals turning?
b)What is the angular speed of the pedals?
Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website!
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