In a carnival ride, you sit on a seat in a compartment that rotates with constan
ID: 2237980 • Letter: I
Question
In a carnival ride, you sit on a seat in a compartment that rotates with constant speed in a vertical circle of radius 4.0 m. The ride is designed so your head always points toward the center of the circle. (a) If the ride completes one full circle in 3.5 s, find the direction and magnitude of your acceleration. b)Find the slowest rate of rotation (in other words, the inverse of the longest time Tm to complete one full circle) if the seat belt is to exert no force on you at the top of the ride.Explanation / Answer
a) v = 2(pi)r/t v = 2*22*4/(7*3.5) acceleration = v^2/r in direction opposite to the circle.. a = 2*22*4*2*22/(7*3.5*7*3.5) a = 12.9 m/s^2 in direction opposite to the center of the circle. b) => g = v^2/r v = wr w = sqrt(g/r) w = sqrt(9.8/4) w = 1.565 rotations per second..