A rotating space station is said to create·artindal gravity--a loosey-defned ter

Question

A rotating space station is said to create·artindal gravity--a loosey-defned term used for an aceleration that would be crudely smar to gravity. The outer wall of the rotating space station would become a floor for the astronauts, and centripetal acceteration supplied by the floor would allow astronauts to exercise and maintain muscie and bone strength more naturally than in non-rotating space environments. If the space stacion s 240 m in diameter, what angular velocity would produce an "artoficial gravityof 9.80 m/s at the rim? Consider the dependence of centripetal acceleration on tangential speed and radius of the path rpm Additional Materials Readng

Explanation / Answer

centripetal acceleration a = r*w^2

given

a = acceleration = 9.8 m/s^2

radius of space station = 240/2 = 120 m

w(omega) = angular velocity = ?

angular velocity w = sqrt(a/r) = sqrt(9.8/120) = 0.286 rad/s = 2.73 revolutions/minute

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