Solve the following question:
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.
Part A: 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?
rpm
Please show solution step by step with details for above question. Thanks.