The first of the great amusement parks on Coney Island, in Brooklyn, New York, was Steeplechase Park. In 1905, one of the rides in the fun house at Steeplechase Park was
the "Human Roulette Wheel." This ride consisted of a large wooden wheel, nearly 6 min
diameter, on which several people climbed. The wheel would then spin, causing all but
the passengers closest to the center to slide off. Suppose a 45 kg passenger with a
tangential speed of 1.6 m/s was just barely able to stay on the wheel. If the magnitude of
the frictional force that held the passenger on the wheel was 125 N, how far was the
passenger from the center of the wheel?