Question

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 4.00 m, what angular speed (in rad/s) results in a centripetal acceleration of 9g?
_______rad/s

(b) What linear speed (in m/s) would a person in the centrifuge have at this acceleration?
________m/s

Answer 1

(a) The angular speed of the human centrifuge is 4.7 rad/s.

(b) The linear speed (in m/s)  a person in the centrifuge would have at this is 18.8 m/s.

Angular speed of the human centrifuge

a = ω²r

where;

• a is centripetal acceleration = 9g
• r is radius of human centrifuge

ω = √(a/r)

ω = √(9g/r)

ω = √(9 x 9.8 / 4)

ω = 4.7 rad/s

Linear speed of the centrifuge

v = ωr

where;

• v is linear speed

v = (4.7 rad/s) x 4 m

v = 18.8 m/s

Thus, the angular speed of the human centrifuge is 4.7 rad/s. The linear speed (in m/s)  a person in the centrifuge would have at this is 18.8 m/s.

Learn more about angular speed here: brainly.com/question/6860269

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