Question

A tire on a car has an outside diameter of 36.30 in. Through what angle​ (in radians) does the tire turn while traveling 1 ​mile?

Answer 1

Answer: 3491.91 radians

Explanation:

The total distance in inches traveled by car = 63,360 inches (1 mile)

Total Revolution made by tire through traveling =

`=(63360)/(\pi *36.30)`

We know 1 revolution angle made by tire = 2π radian (360 degrees/1 revolution of unit circle)

In
`(63360)/(\pi *36.30)` ,

the revolution angle made by the tire =

`=2\pi * (63360)/(\pi 36.60)`

`=2 * (63360)/( 36.60)`

`= 3491.91` radian