Question

A boy wants to jump onto a moving carousel that is spinning at a rate of 5 revolutions per minute. If the carousel is 64 ft in diameter, how fast must the boy run, in feet per second, to match the speed of the carousel and jump in? Round your answer to two decimal places.

Answer 1

n=5 rev/min = 5/60 rev/s

v=2πnR = πnD =3.14•5•64/60 =16.76 ft/s