Answer:
≈ 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.