A rotating space station is said to create \"artificial gravity\"-a loosely defi

Question

A rotating space station is said to create "artificial gravity"-a loosely defined term used for an acceleration that would be crudely similar to gravity. The outer wall of the rotating space station would become a floor for the astronauts, and centripetal acceleration supplied by the floor would allow astronauts to exercise and maintain muscle and bone strength more naturally than in non-rotating space environments. If the space station is 220 m in diameter, what angular velocity would produce an "artificial gravity" of 9.80 m/s2 at the rim?

Explanation / Answer

Solution,

Given,

Diameter, d = 220 m

Radius, r = 110 m

Artificial Gravity, g = 9.8 m/s^2

Angular velocity, w = sqrt (g/r) = sqrt(9.8/110) = 0.2984 rad/s 0.2984 x 60/ (2 pi) = 2.8517 rpm

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