Question

A bicycle odometer which counts revolutions and is calibrated to report distance traveled is attached near the wheel axle and is calibrated for 27 inches wheel what happens if you use it on a bicycle with 24 inches wheels?

Answer 1

Answer:

each rotation of the smaller wheel will show 84.382-75.3982=8.9838 inches more than the actual distance

Explanation:

d = Diameter of the wheel

The distance traveled in one rotation of the wheel is the circumference of the wheel

$\pi d=\pi\times 27\\ =84.823\ inch$

When diameter is 24 inches

$\pi d=\pi\times 24\\ =75.3982\ inch$

Therefore, each rotation of the smaller wheel will show 84.382-75.3982=8.9838 inches more than the actual distance