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A 75.0 kg astronaut is training for accelerations that he will experience upon reentry. He is...

A 75.0 kg astronaut is training for accelerations that he will experience upon reentry. He is placed in a centrifuge (r = 20.0 m) and spun at a constant angular velocity of 15.0 rpm (revolutions per minute). He is then slowed and brought to a stop in 2.0 minutes.

a. Find the magnitude and direction of the centripetal acceleration and force when he is spinning at constant angular velocity.

b. How many g’s is the astronaut experiencing when moving at constant angular velocity?

c. Find the torque that is needed to bring the centrifuge to a stop knowing the centrifuge has a mass of 5500.0 kg (ignore all other forces) and the force is applied at the edge of the centrifuge (20.0 m radius). Hint: torque is based on the change of linear velocity.

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