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Weightlessness Problem

  1. Apr 25, 2004 #1
    Hi everyone I am a student in a mechanics course.

    We just had a brief intro into gravitation and newtons synthesis and I was wondering how I can solve this question...

    How long would a day be if the Earth were rotating so fast that objects at the Equator were weightless?

    The reading on the section is short, thanks for your help.
  2. jcsd
  3. Apr 25, 2004 #2

    Doc Al

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    Staff: Mentor

  4. Apr 29, 2004 #3
    The same question in different words:

    How fast would a satellite have to travel to stay in orbit just a few centimeters above the earth's surface?

    It's all a matter of acceleration due to gravity matching centripetal acceleration--or, in my non-inertial frame, force of gravity matching centrifugal force.

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