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).
:
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)?
{{{18849.56/12}}} * {{{60/5280}}} = 17.85 mph