a tires circumference in 63 inches, how many rotations will the tire make in 10,000 miles, show all calculations

To find out how many rotations the tire will make in 10,000 miles, we need to determine the distance traveled by each rotation of the tire.

The circumference of the tire is given as 63 inches. This means that the tire covers a distance of 63 inches in one complete rotation.

Now, we need to convert the distance from inches to miles.

1 mile = 63360 inches

Therefore, the distance covered by one rotation of the tire in miles is:

63 inches ÷ 63360 inches/mile = 0.000993 miles

Now, we can find out how many rotations the tire will make in 10,000 miles by dividing the total distance by the distance covered in one rotation:

Number of rotations = 10,000 miles ÷ 0.000993 miles/rotation

Number of rotations = 10,070,355 rotations (rounded to the nearest whole number)

Therefore, the tire will make approximately 10,070,355 rotations in 10,000 miles.