In a carnival ride, the passenger sits on a seat in a compartment that rotates with constant speed in a vertical circle of radius r = 5 m. The heads of the seated passengers always point toward the axis of rotation.

(a) If the carnival ride completes one full circle in 2 s, find the acceleration of the passenger.

(b) Find the slowest rate of rotation (in other words, the longest time T to complete one full circle) if the seat belt is to exert no force on the passenger at the top of the ride.