SOLUTION: A bicycle with 20-in.-diameter wheels has its gears set so that the chain has a 5-in. radius on the front sprocket and 2-in. radius on the rear sprocket. The cyclist pedals at 120

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Question 1154324: A bicycle with 20-in.-diameter wheels has its gears set so that the chain has a 5-in. radius on the front sprocket and 2-in. radius on the rear sprocket. The cyclist pedals at 120 rpm.
Find the linear speed of the bicycle in in/min (correct to two decimal places).
How fast is the bike moving in mph (to two decimal places)?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A bicycle with 20-in.-diameter wheels has its gears set so that the chain has a 5-in. radius on the front sprocket and 2-in. radius on the rear sprocket. The cyclist pedals at 120 rpm.
Find the linear speed of the bicycle in in/min (correct to two decimal places).
:
for every cycle of the 5" sprocket the 2" goes around 2.5 times, therefore
120 * 2.5 * pi * 20 = 18,849.56 inches/min
:
How fast is the bike moving in mph (to two decimal places)?
18849.56%2F12 * 60%2F5280 = 17.85 mph