Human centrifuges are often used to simulate different acceleration levels for pilots. When aerospace physiologists say that

Question:

Human centrifuges are often used to simulate different acceleration levels for pilots. When aerospace physiologists say that a pilot is pulling 9g's, they mean that the resultant normal force on the pilot from the bottom of the seat is nine times their weight. Knowing that the centrifuge starts from rest and has a constant angular acceleration of 1.5 RPM per second until the pilot is pulling 9g's and then continues with a constant angular velocity, determine

(a) How long it will take for the pilot to reach 9g's

(b) The angle ( of the normal force once the pilot reaches 9 g's. Assume that the force parallel to the seat is zero?