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

Answer:

Tire will be warranted for $3.326\times 10^8radian$

Step-by-step explanation:

We have given that tire is warranted for 63000 miles

We know that 1 mile = 5180 feet

So $63000miles=63000\times 5280=3.3264\times 10^8feet$

Diameter is given d = 2 feet

So radius $r=\frac{d}{2}=1feet$

Angular distance is given by $\Theta =\frac{linear\ distance}{radius}=\frac{3.326\times 10^8}{1}=3.326\times 10^8radian$