Circular motion space station question

AI Thread Summary
To achieve Earth-like weight for occupants in a circular space station with a diameter of 53.5 m, the required angular speed must be calculated using centripetal force equations. The centripetal force, represented as mv²/r, should equal mg to simulate gravity. The discussion highlights a potential error in using diameter instead of radius, prompting a request for clarification on calculations. Participants emphasize the importance of showing calculations to facilitate assistance. The conversation centers around ensuring the correct application of physics principles to determine the necessary angular speed.
zhenyazh
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hi,
could some one explain where am i wrong?

A proposed space station includes living quarters in a circular ring 53.5 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?

in such a station there is a centr. force mv^2/r.
it equals mg since i want them to feel like on earth.
then i play with the equation, lose m make v=wr.
and find w.

thanks
 
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Have you used diameter instead of radius? The method seems fine.
What result did you get?
 
nope. i divided by two
 
Please show us your calculation and final answer. Otherwise it is very difficult to help.
 
v^2/r has to be equal to g then you can work from there
 
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