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physics

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A space station is shaped like a ring and rotates to simulate gravity. If the radius of the space station is 150 m, at what frequency must it rotate so that it simulates Earth's gravity? [Hint: The apparent weight of the astronauts must be the same as their weight on Earth.]

what do i do with the radius?

  • physics -

    Use the radius in the formula

    g = V^2/R

    g is the centripetal acceleration that you want to achieve (equal to that of Earth's gravity). V is the velocity of the outer perimeter of the ring.

    Once you have V, the rotation frequency is
    f = 1/T = V/(2 pi R)
    = [1/(2 pi)] * sqrt(g/R)

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