How many times does a tire with a diameter of 30 in. rotate when it travels a mile? **Tip: As there are 63,360 in. in each mile, 63,360 divided by circumference = number of full rotations. Round up to the next whole number. * 673 rotations 90 rotations 1345 rotations 336 rotations

1 answer

336 rotations

To calculate the number of rotations, we first need to find the circumference of the tire. The formula for the circumference of a circle is C = πd, where d is the diameter. In this case, the diameter is 30 inches, so the circumference is C = π * 30 = 94.2478 inches.

Next, we divide the total distance traveled in inches (63,360 inches) by the circumference of the tire to find the number of full rotations. 63,360 / 94.2478 ≈ 673.006 rotations, which we round up to the next whole number, 674 rotations.

Therefore, a tire with a diameter of 30 inches will rotate approximately 336 times when traveling a mile.