The 20-g centrifuge at NASA\'s Ames Research Center in Mountain View, California
ID: 581732 • Letter: T
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 19. 1g. An athlete swings a ball, connected to the end of a chain, in a horizontal circle. The athlete is able to rotate the ball at the rate of 7.62 rev/s when the length of the chain is 0.600 m. When he increases the length to 0.900 m, he is able to rotate the ball only 6.30 rev/s. Which rate of rotation gives the greater speed for the ball? What is the centripetal acceleration of the ball at 7.62 rev/s? What is the centripetal acceleration at 6.30 rev/s?Explanation / Answer
Radius of the circle = 29ft = 8.84 m
Centripetal acceleration, = v^2/r
v = r*w
(r*w)^2/r = 19.1 * 9.8 m/s^2
r*w^2 = 187.2 m/s^2
w = sqrt(187.2/8.84)
w = 4.60 rad/s
w = 4.60/(2*3.14) rev/s
w = 0.732 rev/s
Speed in rev/s , w = 0.732 rev/s
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