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serenityburke
20.10.2019 •
Physics
Aproposed space station includes living quarters in a circular ring 50.0 m in diameter. at what angular speed should the ring rotate so the occupants feel that they have the same weight as they do on earth?
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Ответ:
In this case, you want that the centripetal acceleration, Ac, equals g (gravitational acceleration on the earth), becasue this will cause a centripetal force equal to the weight on earth.
The formula for centripetal acceleration is Ac = [angular velocity]^2*R
where R = [1/2]50.0m = 25.0 m
Ac = 9.81 m/s^2
=> [angular velocity]^2 = Ac/R = 9.81m/s^2v/ 25.0m = 0.3924 (rad/s)^2
[angular velocity] = √(0.3924) rad/s = 0.63 rad/s
0.63 rad/s
Ответ: