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

centripetal accelaration is a = v^2/R

given that a = 9*9.81 = 88.3 m/s^2

R = 15 m

linear speed is v = sqrt(a*R) = sqrt(88.3*15) = 36.4 m/s

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