Human centrifuges are used to train military pilots and astronauts in preparation for high-g maneuvers. A trained, fit person wearing a g-suit can withstand accelerations up to about 9g (88.2 m/s2) without losing consciousness.   (a) If a human centrifuge has a radius of 4.61 m, what angular speed (in rad/s) results in a centripetal acceleration of 9g?   (b) What linear speed (in m/s) would a person in the centrifuge have at this acceleration?

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Human centrifuges are used to train military pilots and astronauts in preparation for high-g maneuvers. A trained, fit person wearing a g-suit can withstand accelerations up to about 9g (88.2 m/s2) without losing consciousness.
 
(a)
If a human centrifuge has a radius of 4.61 m, what angular speed (in rad/s) results in a centripetal acceleration of 9g?
 
(b)
What linear speed (in m/s) would a person in the centrifuge have at this acceleration?
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