Question

A new sport utility vehicle has tires with a diameter of 27.1 inches. The tires have a tread-life warranty of 61,000 miles.
(a)
How many radians will the tires rotate through within the full warranty length?

The total linear distance in this case gives the total circumference length the tire rolls through. How is an angle in radians related to circumference and radius? Be careful of unit conversions. rad
(b)
How many revolutions is this equivalent to?

61000mi * 5280ft/mi * 12in/ft * 1rev/27.1πin) * 2πrad/rev = ____rad

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