7.1 Radian and Degree Measure

Question

Rachel just hopped on the edge of a merry-go-round. What are her linear and angular speeds if the diameter of the merry-go-round is 8 feet and it takes 9 seconds for it to make a complete revolution? Round the solutions to two decimal places.

w = ______ rad / s

v = ______ ft / s

Answer 1

w = 2pi/9 radians per second = angular speed

Circumference = 8pi feet per 9 seconds = linear speed

v = 8pi/9 feet per second

= about 8(3.1415929)/9

= about 2.79 ft/sec