13. In order to train for a high-g environment, a 66-kg astronaut is placed in a centrifuge of radius r = 5.0 m and rotated in a horizontal circle at constant angular speed W. (a) (5 pts) What is the value of angular speed so that the astronaut is subject to centripetal acceleration of 10 g (where 10 g = 98 m/s2)? O.S.NAVY b) (5 pts) What angular acceleration is required to start from rest and build up to this angular speed in 6.0 s? c) (5 points) What are the magnitude and direction of the net force acting on the astronaut while undergoing uniform circular motion with the final angular speed