Part A At its Ames Research Center, NASA uses its large 20-G centrifuge to test

Question

Part A At its Ames Research Center, NASA uses its large 20-G centrifuge to test the effects of very large accelerations (hypergravity') on test pilots and astronauts. In this device, an arm 8.84 m long rotates about one end in a horizontal plane, and the astronaut is strapped in at the other end. Suppose that he is aligned along the arm with his head at the outermost end. The maximum sustained acceleration to which humans are subjected in this machine is typically 1259 How fast must the astronaut's head be moving to experience this maximum acceleration? 0 m/s Subnit My Answers Give Up Part B What is the difference between the acceleration of his head and feet if the astronaut is 2.00 m tall? Submit My Answers Give Up Part C How fast in rpm (rev/min) is the arm turning to produce the maximum sustained acceleration? rpm

Explanation / Answer

formula for centripetal accleration is:

Ac=v^2/r or w^2*r

acceleration is 12.5g

w=sq root(Ac/r)=sq root(12.5*9.81/8.84)=3.72rad/sec

linear speed of head is

v=w*v=3.72rad/sec*8.84m/rad=32.9m/s

v=32.90m/s---------------part A

now,

part B

acceleration at feet is

=(3.72rad/sec)^2*(8.84m-2m)

=94.9m/sec^2

part C

w/(2*pi)*60sec/min

=35.6.

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