The 20- g centrifuge at NASA\'s Ames Research Center in Mountain View, Californi

Question

The 20-g centrifuge at NASA's Ames Research Center in Mountain View, California, is a horizontal, cylindrical tube 58 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 17.7g.
rev/s

The 20-g centrifuge at NASA's Ames Research Center in Mountain View, California, is a horizontal, cylindrical tube 58 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 17.7g.

Explanation / Answer

Required force F = 20.0 * m * g

Centripetal force Fc = m * r * ?2

=> 20.0 * m * g = m * r * ?2

20.0 * 32.17 = 29 * ?2 ( g = 32.17 ft/s2)

required angular speed ? = ?(643.0 / 29)

= 4.71 rad/s

since 1 rev = 2? rad

=> ? = 4.71 / 2 * 3.14 rev/s

= 4.71 * 60 / 6.28 rev/min

= 45.00 rev/min

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