the 20-g centrifuge at nasa's ames research center in mountain view, california, is a horizontal, cylindrical tube 58.0 ft long and is represented in the figure below. assume an astronaut in training sits in a seat at one end, facing the axis of rotation 29.0 ft away. determine the rotation rate, in revolutions per second, required to give the astronaut a centripetal acceleration of 10.6g.