Question

The tires on a new compact car have a diameter of 2.0 ft and are warranted for 63,000 miles. (a) Determine the angle (in radians) through which one of these tires will rotate during the warranty period.

Answer 1

Tire will be warranted for
`3.326* 10^8radian`

Explanation:

We have given that tire is warranted for 63000 miles

We know that 1 mile = 5180 feet

So
`63000miles=63000* 5280=3.3264* 10^8feet`

Diameter is given d = 2 feet

So radius
`r=(d)/(2)=1feet`

Angular distance is given by
`\Theta =(linear\ distance)/(radius)=(3.326* 10^8)/(1)=3.326* 10^8radian`