Question

Tires on a car have a diameter of 2 ft and are warranted for 60 000 miles. a) Determine the angle (in radians) through which one of these tires will rotate during the warranty period. b) How m,any revolutions of the tire are equivalent to your answer in, part a)? i have drawn a tire with the diameter and the Centripetal Acceleration.

Answer 1

in one revolution the tire goes 2 pi r = pi D feet = pi (2) feet
which is (2 pi/5280)miles

(2 pi/5280)n = 60,000 miles (part b)

2 pi n = number of radians (part a)