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    zanderbaxa's Avatar
    zanderbaxa Posts: 62, Reputation: 1
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    #1

    Aug 23, 2011, 07:44 PM
    How much faster should Earth rotate for accelaration due to gravity
    At the suface to be 1/10 of what is now?
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
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    #2

    Aug 24, 2011, 07:17 AM
    The acceleration due to gravity is not dependent on the speed of rotation of the earth. However, it does affect the force you perceive, as the centripetal acceleration counteracts the force of gravity. The centripetal acceleration is v^2/r, where r is the radius of the earth. Set it equal to 9/10 the value of g. This will give you a value for v that satisfies the requirement at the equator.
    zanderbaxa's Avatar
    zanderbaxa Posts: 62, Reputation: 1
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    #3

    Aug 24, 2011, 09:21 AM
    Approx. V = 16 kmph. A lot higher peripheral speed than I expected. But Thanks.
    jcaron2's Avatar
    jcaron2 Posts: 986, Reputation: 204
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    #4

    Aug 24, 2011, 01:36 PM
    Uhhh... I think your calculation is a little bit off. Like three orders of magnitude or more.
    zanderbaxa's Avatar
    zanderbaxa Posts: 62, Reputation: 1
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    #5

    Aug 24, 2011, 04:12 PM
    Yea. The units are off. Sqrt(0.9 * 9.8 m/s^2 * 6,437,376 m) = sqrt(5.67777e7 m^2/s^2) = 7535.1 m/s = 16,855.5386 mph
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