What is the period of orbit for a space station placed 30 000km from the Earth?

gemini2904
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Homework Statement



A space station is placed in an orbit of radius 30 000km. What is the period of the station's orbit around the Earth?

(I previously worked out the period of rotation of the space station as 22 secs but I didn't think it was relevant to this part of the question besides it's probably wrong anyway! For that question the wheel shaped station, with radius 20m, rotating around a central hub. astronaunt standing on rim head facing forward , feels force on feet, to stimulate 1/6 of the magnitude of gravity on earth)?

2. Homework Equations

I was looking to use T = 2pi

but Instead of Rearth do I need to use the radius 30 000? Or have I got the wrong equation again??

Many thanks,

Claire

3. The Attempt at a Solution

T = 6 mins edit; opps i mean 84mins I don't understand how the radius of 30000 fits in, should I take it as distance?
1. Homework Statement


Homework Equations





The Attempt at a Solution


 
Last edited:
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Oh right sorry - I didn't realize, I just wanted to edge my bets!
 
Actually, you "hedge" your bets. But double posting is not the way to do it.
 
Thank's for clearing that up, Dick!
 
To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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