How many radians does a tire rotate over 60,000 miles?

[sowmit]

Please help me with this problem??

Homework Statement

The question is:

the tires on a new car have a diameter of 2.0 ft and are warranted for 60000 miles (3.2*e^9 ft).

(a) Determine the angle (in radians) through which one of the tires will rotate?

(b) How many revolutions are equivalent to ur answer in part a?>

Homework Equations

theta = s/r

The Attempt at a Solution

theta = (3.2*e^9 ft / 1.0 ft) * (2pi radian/ 360 degree) = 5.0* 10^6 radian, but the answer says 3.2*e^8 radians. How's that possible.

How do I find omega (revolution per second?)

 

[kuruman]

When the wheel has moved forward by one circumference, it has rotated by 2π radians.
How many circumferences can fit in 60,000 miles?

Why do you want to find omega?