Question

A bicycle with 18-in.-diameter wheels has its gears set so that the chain has a 7-in. radius on the front sprocket and 3-in. radius on the rear sprocket. The cyclist pedals at 200 rpm. Find the linear speed of the bicycle in in/min (correct to at least two decimal places)

Answer 1

Convert revolutions into terms of pi...
(180 rev./1 min.) * (2pi rad/1 rev.) = (180 * 2pi)/1 min. = 360pi/1 min.