Astronauts use a centrifuge to simulate the acceleration of a rocket launch. The

Question

Astronauts use a centrifuge to simulate the acceleration of a rocket launch. The centrifuge takes 20.0s to speed up from rest to its top speed of 1 rotation every 1.10s . The astronaut is strapped into a seat 4.40m from the axis.

Part A

What is the astronaut's tangential acceleration during the first 20.0s ?

Express your answer with the appropriate units.

Part B

How many g's of acceleration does the astronaut experience when the device is rotating at top speed? Each 9.80m/s2 of acceleration is 1 g.

Express your answer with the appropriate units.

Explanation / Answer

A)1 rotation every 1.1 sec means

w=pi/1.1 =2.85 rad/sec

so now Wf=Wo +at

2.85=a*20

alpha,a=0.1427 rad/sec^2

At=ar=0.627 m/sec^2 (ans)

B)centrepetal accleration at top speed,Ac=Wf^2*R=35.739 m/sec^2

so net accleration=sqrt(At^2 +Ac^2) =35.744 m/sec^2

so number of g's=35.744/9.8=3.647 g (ans)

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