Current Attempt in Progress Multiple-Concept Example 13 offers a helpful perspective for this problem. Suppose the surface (radius = r) of a cylindrical space station is rotating at 22.8 m/s to provide artificial gravity. What must be the value ofr for the astronauts to weigh 1/5 of their earth weight? Number i Units eTextbook and Media. Save for Later Attempts: 0 of 10 used SubmitAnswer

a) What is the period of rotation of Venus in seconds? (The period of rotation of Venus in hours is 5,832.5 hr.) Answer in seconds    (b)What is the angular velocity (in rad/s) of Venus? (Enter the magnitude.)  Answer in rad/s   (c) Given that Venus has a radius of 6.1 ✕ 106 m at its equator, what is the linear velocity (in m/s) at Venus's surface? (Enter the magnitude of the linear velocity at the equator.) Answer on m/s

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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. Randomized Variables d = 180 m If the space station is 180 m in diameter, what angular velocity would produce an "artificial gravity" of 9.80 m/s² at the rim? Give your answer in rad/s.