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23 Nov 2019

In alargecentrifuge used for training pilots and astronauts, a smallchamberis fixed at the end of a rigid arm that rotates in ahorizontalcircle. A trainee riding in the chamber of a centrifugerotatingwith a constant angular speed of 2.4 rad/s experiences acentripetal accelerationof 2.9times the acceleration due togravity.In a second training exercise, the centrifuge speeds upfrom restwith a constant angular acceleration. When the centrifugereaches anangular speed of 2.4 rad/s, the trainee experiences atotalacceleration equal to 5.3 timesthe acceleration due togravity.
(a) How long is the arm of the centrifuge?
m

(b) What is the angular acceleration (magnitude) of thecentrifugein the second training exercise?
rad/s2

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