Question

How many revolutions will a car wheel of diameter 26 in. make as the car travels a distance of one mile? (round your answer to the nearest whole number.)?

Answer 1

circumference of the wheel = pi*d = 26pi ins = 13pi / 6 feet
there are 8280 feet in 1 mile

The number of revolutions in travelling 1 mile = 5280 * 6
----------- = 776 revs
13 pi

Answer 2

776 revolutions per mile

Explanation:

First we need to find the Circumference of the wheel.

Formula for circumference = πD

Where D = Diameter of the car wheel = 26 inches

Circumference of the car wheel = π × 26

= 81.68 inches

We have to find, how many inches make 1 mile.

1 mile = 63360 inches.

To determine the number of revolutions a car wheel of diameter 26 inches will travel,

= 63360 inches ÷ circumference of the car wheel

= 63360 inches ÷ 81.68inches

= 775.71 revolutions per mile

To the nearest whole number = 776 revolutions per mile.