Question

A motorcycle wheel has a

diameter of 20 inches. How
many revolutions will it make
in order to have to travel 2
miles? (1 mile = 5, 280 feet)

Answer 1

≈ 2017 revolutions

Explanation:

First, we need to convert 2 miles to inches:

2 miles x 5280 feet/mile x 12 inches/foot = 126,720 inches

This means the wheel needs to rotate a distance of 126,720 inches. We can find the circumference of the wheel using its diameter:

Circumference = π × diameter

Circumference = π × 20 inches

Circumference = 62.83 inches (rounded to two decimal places)

Therefore, the wheel will make:

Revolution = Distance ÷ Circumference

Revolution = 126,720 inches ÷ 62.83 inches/revolution

Revolution ≈ 2016.8 revolutions

Rounding to the nearest whole number, the motorcycle wheel will make approximately 2017 revolutions in order to travel 2 miles.