A 20-G centrifuge at NASA is used to test the effects of very large accelerations or hypergravity on test pilots and astronauts. This centrifuge has an arm of 8.84 m long that rotates about one end in a horizontal plane, and the subject is strapped in at the other end. If the subject is aligned along the centrifuge’s arm with his head at the outermost end, and the maximum sustained acceleration to which humans are subjected in this device is typically 12.5g, (a) how fast must the subject’s head be moving to experience this maximum acceleration? (b) What is the difference between the acceleration of his head and feet if the subject is 1.57 m tall?

Classical Dynamics of Particles and Systems
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ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter10: Motion In A Noninertial Reference Frame
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A 20-G centrifuge at NASA is used to test the effects of very large accelerations or hypergravity on test pilots and astronauts. This centrifuge has an arm of 8.84 m long that rotates about one end in a horizontal plane, and the subject is strapped in at the other end. If the
subject is aligned along the centrifuge’s arm with his head at the outermost end, and the maximum sustained acceleration to which humans are subjected in this device is typically 12.5g,

(a) how fast must the subject’s head be moving to experience this maximum acceleration?
(b) What is the difference between the acceleration of his head and feet if the subject is 1.57 m tall?

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