Question

A bicycle wheel with a radius of 14 inches travels one mile (5,280 feet). Approximately how many revolutions does the wheel make?

Answer 1

720 revolutions.

Step-by-step explanation

The radius of the bicycle wheel is 14 inches.

1foot =12 inches.

This implies that

`r = (14)/(12) = (7)/(6) ft`

In one revolution, the bicycle covers

`2\pi \: r \: ft`

The number of revolution in 5,280 feet is

`(5280)/(2\pi \: r) = (5280)/(2 * \pi * (6)/(7) ) = 720.2897996`

This is approximately 720 revolutions.