Question

How many times does a tire with a diameter of 16 in. rotate when it travels a mile? **Tip: As there are 63,360 inches in each mile, 63,360 divided by circumference = number of full rotations. Round up to the next whole number. *

631 rotations
1980 rotations
1260 rotations
100 rotations

Answer 1

1260 rotations

Step-by-step explanation:

From the question given above, the following data were obtained:

Diameter of tyre = 16 in

Number of rotation =?

Next, we shall determine the radius of the tyre. This can be obtained as follow:

Diameter (d) of tyre = 16 in

Radius (r) of tyre =?

r = d / 2

r = 16/2

Radius (r) = 8 in

Next, we shall determine the circumference of the tyre. This can be obtained as follow:

Radius (r) of tyre = 8 in

Pi (π) = 22/7

Circumference (C) of tyre =?

C = 2πr

C = 2 × 22/7 × 8

C = 50.29 m

Finally, we shall determine the number of rotation. This can be obtained as follow:

Circumference (C) of tyre = 50.29 m

Number of rotation (n) =?

n = 63360 / C

n = 63360 / 50.29

n = 1260 rotations

Therefore, the tyre will make 1260 rotations