Question

A 16-inch diameter (8-inch radius) car tire is one of the most popular sizes for today's car Find the number of revolutions made by a tire with a radius of 8

inches that travels 5,280 feet (or 1 mile). Use 3.14 for Round your answer to the nearest tenth of a revolution.

Answer 1

1261.1 revolutions

Explanation:

Given

`d = 16in` --- the diameter

`Distance = 5280ft`

Required

The number of revolution completer

First, calculate the circumference (c) of the tire

`c = \pi d`

`c = 3.14 * 16`

`c = 50.24`

Let the number of revolutions be n.

The product of n and the circumference equals to the total distance travelled.

So:

`c * n = 5280 ft`

`50.24in* n = 5280 ft`

Make n the subject

`n = (5280 ft)/(50.24in)`

Convert feet to inch

`n = (5280 *12in)/(50.24in)`

`n = (63360in)/(50.24in)`

`n = (63360)/(50.24)`

Solve for n

`n = 1261.14649682`

Approximate

`n = 1261.1`