In a large centrifuge used for training pilots and astronauts, a small chamber is fixed at the end of a rigid arm that rotates in a horizontal circle. A trainee riding in the chamber of a centrifuge rotating with a constant angular speed of 2.6 rad/s experiences a centripetal acceleration of 3.1 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 2.6 rad/s, the trainee experiences a total acceleration equal to 4.6 times the acceleration due to gravity.
(a) How long is the arm of the centrifuge?
--------------------m
(b) What is the angular acceleration (magnitude) of the centrifuge in the second training exercise?
-------------------rad/s^2