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 the 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 200 m in diameter, what angular velocity would produce an "artificial gravity" of 9.80 m/s^{2}?

Group of answer choices

0.313 rad/s

0.0980 rad/s

10.2 rad/s

3.19 rad/s

Step 1

**Given:**

Diameter of the space station,D = 200 m

Radius, R = 100 m

Artificial gravity(Acceleration) = 9.8 m/s^{2}

Step 2

Calculating the value of angular velocity such that the value of artificial gravity is 9.8 m/s2:

When the station spins, centrifugal force acts...

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