A centrifuge is used for training astronauts to withstand large accelerations. I

Question

A centrifuge is used for training astronauts to withstand large accelerations. It consists of a chamber (in which the astronauts sits) that is fixed to the end of a long horizontal and rigid pole. The arrangement is rotated about an axis perpendicular to the pole's free end. Such a centrifuge starts from rest and has an angular acceleration of 0.20 rad/s2. The chamber is 2.7 m from the axis of rotation. Through what angle has the device rotated when the centripetal acceleration experienced by the astronaut in the chamber is 5 times the acceleration due to gravity?

Explanation / Answer

a = 6g = 2*2.5

= 4.85 rad/s

Now,

2 = 2*

23.52 = 2*0.28*

= 42 rad Ans

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