College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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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 4.87 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=
Expert Solution
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Step 1
(a) centrifugal acceleration is given by,
where is angular speed
R is radius
Here, = 9g=88.2 m/s2
R= 4.87 m
So, we can write
88.2 m/s2 = x 4.87m
= (88.2/4.87) rad2/s2 = 18.11 rad2/s2
= rad/s = 4.256 rad /s = 4.26 rad/s
So, angular speed is 4.26 rad/s .
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