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March 27, 2017

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If the variation in g between one's head and feet is to be less then 1/100 g, then, compared to one's height ,what should be the minimum radius of the space habitat?

  • Science - ,

    Let the habitat radius be R and the person's height be H.

    Assume that the "gravity" is established by rotating a cylindrical or wheel shaped space station, with radius R. The actual value of g will be deterimned by the rotation rate, w.
    g = R w^2.

    g(head)/g(feet) = 1.01
    = R(head)/R(feet)
    = (R + H)/R = 1 + (H/R)

    H/R = 0.01
    R = 100 H (or higher)

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