NASA\'s Ames Research Center in Mountain View, California, houses a 20g centrifu

Question

NASA's Ames Research Center in Mountain View, California, houses a 20g centrifuge used to conduct research and training to solve real world problems related to the effects of acceleration on systems. It consists of a horizontal rail system with a 58-foot diameter mounted on a central axis, as shown in the figure below. An astronaut is using the centrifuge for training on high accelerations during spaceflight. The astronaut is seated 29.0 ft from the axis of rotation. At what rotation rate, in revolutions per second, will the astronaut experience a centripetal acceleration of 12.2g? 29 ft rev/s Need Help? Resd N

Explanation / Answer

Solution,

Centripetal acceleration, Ac = v^2/r = rw^2

w is angular speed

a = (12.2)(32.2) = 29 w^2

Value of g in ft/sec^2 = 32.2

w^2 = 13.546

w = 3.68 rad/sec = 3.68/(2 x pi) = 0.586 rev/sec

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