Question

The tires on your bicycle have a diameter of 20 inches. How many rotations does each tire make when you travel 500 feet? Round your answer to the nearest whole number.

Answer 1

A tire is a circle, therefore:

1) we have to calculate the circumference of this circle (tire of this bycicle)
C=dπ
diameter=20 in
C=20π in.

1 rotation=20π in

2)we convert 500 ft to in
1 foot=12 in;

1 foot------------------12 in
500 feet---------------  x

x=(500 ft * 12 in) / 1 foot=6000 in.

3) Now, we calculate the number of rotations:
1 rotation=20π in≈20*3.141592654... in≈62.93 in,


1 rotation--------------62.93 in
x--------------------------6000 in

x=(1 rotatiton * 6000 in) / 62.93 in≈95.5 rotations≈96 rotations.

Answer: 96 rotations.