The driver of a car sets the cruise control and ties the steering wheel so that the car travels at a uniform speed of 13 m/s in a circle with a diameter of 100 m.
a) Through what angular distance does the car move in 3.70 min ?
b) What arc length does it travel in this time?
circumference = pi * D = 3.14159 * 100 = about 314 meters
3.70 min * 60 s/min = 222 seconds
222 seconds * 13 meters / second = 2886 meters
2886 meters / 314 meters / revolution = 9.19 revolutions
9.19 * 2 pi radians / rev = 57.7 radians = 3308 degrees
arc length = 314 meters/rev * 9.19 rev = 2857meters