In a large centrifuge used for training pilots and astronauts, asmall chamber is fixed at the end of a rigid arm that rotatesin a horizontal circle. A trainee riding in the chamber of acentrifuge rotating with a constant angular speed of 2.5 rad/sexperiences a centripetal acceleration of 3.2 times the acceleration due to gravity. In a second training exercise, the centrifuge speeds up from rest with a constant angular acceleration. When the centrifuge reaches an angular speed of 2.5rad/s, the trainee experiences a total acceleration equal to 4.8times the acceleration due to gravity.
a.) How long is the arm of the centrifuge?
b.) What is the angular acceleration of the centrifuge in the second training exercise?