Radian and Degree Measure

Question

Mike just hopped on the edge of a merry-go-round. What are his linear and angular speeds if the diameter of the merry-go-round is 99 feet and it takes 44 seconds for it to make a complete revolution? Round the solutions to two decimal places.

w=_____ rad/s

v=_____ ft/s

Answer 1

w = 1rev/44sec x 2pi rad/rev = 0.143rad/sec

v = rw = 49.5ft x 0.143rad/sec = 7.07 ft/sec