https://www.youtube.com/watch?v=Yjg6mRFzZzE NASA has a centrifuge it uses to tes

Question

https://www.youtube.com/watch?v=Yjg6mRFzZzE

NASA has a centrifuge it uses to test and train astronauts at the Ames Research Center in Mountain View, California. The centrifuge has a reclined seat that people sit on; they are spun around on a mechanical arm simulating large g-forces that they may encounter in a jet or rocket flight. The arm is 8.84 m long and is swung horizontally. Here is the 20g centrifuge: https://www.youtube.com/watch?v=FBJegTfF9K Watch the following video on people's reaction to being swung around: They don't make it past 6g's before some pass out; this is not at Ames, but in a similar centrifuge. https://www.youtube.com/watch?v=Yl g6mRFzZzE a. The person's head is at the outer edge of the arm. The maximum acceleration that this centrifuge exposes humans to is 12.2g, how fast is the person's head going? b. How fast is the centrifuge swinging in revolutions per minute at 12.2g? c. Satellite components are also attached to this centrifuge, and can be exposed to 20g. How fast are the components going at 20g?

Explanation / Answer

Part a

a = v2­/r

v2 = 12.2*9.81*8.84

v = 32.52 m/s

Part b

T = 2R/v

T = (2*3.14*8.84)/32.52

T = (2*3.14*8.84)/32.52

T = 1.7 seconds

Part c

a = v2­/r

v2 = 20*9.81*8.84

v = 41.64 m/s

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