SOLUTION: How far will the bicycle move with each full rotation of the pedals. Assume the radius of the bicycle wheel is 13.1 inches, the radius of the crank sprocket is 5.54 inches, and the

Algebra ->  Trigonometry-basics -> SOLUTION: How far will the bicycle move with each full rotation of the pedals. Assume the radius of the bicycle wheel is 13.1 inches, the radius of the crank sprocket is 5.54 inches, and the      Log On


   

Question 721127: How far will the bicycle move with each full rotation of the pedals. Assume the radius of the bicycle wheel is 13.1 inches, the radius of the crank sprocket is 5.54 inches, and the radius of the wheel sprocket is 1.93 inches.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
How far will the bicycle move with each full rotation of the pedals. Assume the radius of the bicycle wheel is 13.1 inches, the radius of the crank sprocket is 5.54 inches, and the radius of the wheel sprocket is 1.93 inches.
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circumference of the pedal sprocket: pi*2*5.54 = 11.08pi inches
circumference of the wheel sprocket: pi*2*1.93 = 3.86 pi inches
corresponding revolutions of the wheel: 11.08pi/3.86pi = 5.54/1.93 = 2.87 revs
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circumference of the bike wheel: pi*2*13.1 = 82.31 inches
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distance traveled by wheel 2.87*82.31 = 236.23 inches = 19.68 ft.
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Cheers,
Stan H.