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Can someone please help me solve this question? I need some basic explanation as

ID: 1659284 • Letter: C

Question

Can someone please help me solve this question?
I need some basic explanation as well with a diagram on how we solved this problem and also need to demonstrate the understanding!
In addition to all the work your team has done on space stations in planetary orbit, you now need to help design a station for deep space, far away from any planets or stars. The plan is to build a large wheel-like structure where people can live and work in the rim. To create "artificial gravity" without any large objects nearby, the proposed station must rotate on its axis. To balance living conditions with safety concerns (like material stresses), you want to know at what rate a station 200 meters in diameter would have to rotate to create gravity" equal to 0.7 that at the surface of Earth. How fast does it spin, and how long would it take to make a complete rotation? Your answer must be organized, clear, and complete. See the mastery problem rubric for a reminder of what should be included for a perfect score.

Explanation / Answer

a = w^2 r

0.7 x 9.8 = w^2 (200/2)

w = 0.262 rad/s Or 0.042 rev/s .....Ans(Spin rate )

T = 2pi / w = 24 sec ......Ans