A Human Centrifuge To test the effects of high acceleration on the human body, t

Question

A Human Centrifuge To test the effects of high acceleration on the human body, the National Aeronautics and Space Administration (NASA) has constructed a large centrifuge at the Manned Spacecraft Center in Houston. In this device, astronauts are placed in a capsule that moves in a circular path with a radius of 15 m.

If the astronauts in this centrifuge experience a centripetal acceleration 9.0 times that of gravity, what is the linear speed of the capsule?

Express your answer using two significant figures.

Explanation / Answer

here,

the radius of the circular path , r = 15 m

let the linear speed be v

the centripital accelration , a = 9 * g

v^2 /r = 9 * g

v^2 / 15 = 9 * 9.8

v = 36.37 m/s

the linear speed of the capsule is 36.37 m/s

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