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-   -   How much faster should Earth rotate for accelaration due to gravity (https://www.askmehelpdesk.com/showthread.php?t=594223)

  • Aug 23, 2011, 07:44 PM
    zanderbaxa
    How much faster should Earth rotate for accelaration due to gravity
    At the suface to be 1/10 of what is now?
  • Aug 24, 2011, 07:17 AM
    ebaines
    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.
  • Aug 24, 2011, 09:21 AM
    zanderbaxa
    Approx. V = 16 kmph. A lot higher peripheral speed than I expected. But Thanks.
  • Aug 24, 2011, 01:36 PM
    jcaron2
    Uhhh... I think your calculation is a little bit off. Like three orders of magnitude or more.
  • Aug 24, 2011, 04:12 PM
    zanderbaxa
    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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