The Navy operated a "man-rated" centrifuge in Warminster, PA. It was used for testing with the astronauts of the Mercury, Gemini and Apollo programs and the X15 project. The gondola pictured above holds the person. The person in the the gondola moves in a circle with a radius of 50 ft. Without special equipment and training most people will black-out at an acceleration of about 6 g (6×9.8 m/s2 ).
At what speed would a person in the gondola have a centripetal acceleration of 7.7 g?
_____ m/s
What is the period of the gondola at that speed?
______ s