Zoom In to see problems 7. +0/1 points | Previous Answers SerPSE9 4.P.037 My Not

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7. +0/1 points | Previous Answers SerPSE9 4.P.037 My Notes 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 12.0g 18.65 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. rev/s 29ft Need Help? Read

Explanation / Answer

7)
1 ft = 0.3048 m
r = 29 ft = 29*0.3048 m = 8.8392 m
centrepetal acceleration = r*w^2
12*g = 8.8392*w^2
12*9.8 = 8.8392*w^2
w = 3.65 rad/s
= 3.65/2*pi rev/s
= 0.58 rev/s
Answer: 0.58 rev/s

11)
a) Force on astronaut = centrepetal force
m*g = m*v^2/r
g = v^2/r
1.36 = v^2/(1.7*10^6 + 200000)
v^2 = 2.584*10^6
v = 1607.5 m/s

b)
T = 2*pi*r/v
= 2*pi*(1.7*10^6 + 200000) / (1607.5)
= 7426.6 s

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