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Asphyxiated
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Homework Statement
This is actually for my Physics 211 class but the question is very simple. We were asked to construct a cylindrical space station to specific parameters which are not important to the question. I know that my cylinder has a radius of 399.97m and a rotational period of 40.12 seconds to fit the given requirements. It also states that the space station must have a surface area equal to .8 km^2 or 800 m^2. The surface area of a cylinder (minus the top and the bottom which we are to ignore) is:
[tex] 2 \pi r h = A [/tex]
That is:
[tex] 2 \pi (399.97) h = 800 m^{2} [/tex]
[tex] h = \frac {800 m^{2}}{2 \pi (399.97)} = .318 m [/tex]
which is only about a foot... Am I looking at this wrong is is the height seriously suppose to be .318 meters? Is the 800 suppose to be squared as well by chance? lol cause if it was i get a height of 254.66 m which sounds a whole lot better to me.
Please note that I know that the other numbers I am using are 100% correct, i have confirmed the with my teacher, i just never thought to ask about the height but it turns out I squared 800 before and got the more reasonable (to me) 254.66 meters... Now that I am writing the lab it seems that it should just be 800 and now the height is only .318m! lol, let me know what you think.
Thanks!