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Jim
Lv 7
Jim asked in Science & MathematicsPhysics · 10 years ago

Weightless on Surface of Earth?

Assuming the Earth to be a sphere with Radius = 6,380 km, what would the length of a day have to be in order to become weightless? {a day = period of Earth's rotation}.

Update:

This question relates to the fact that the on the surface the Net Acceleration toward the center of the Earth is *not* equal to g but equals (g - Ac).

5 Answers

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  • ?
    Lv 7
    10 years ago
    Favorite Answer

    When the centripetal acceleration (Rω²) at the equator equals the free-fall acceleration (g) you would appear to be weightless ..

    Rω² = 9.80 m/s²

    ω² = 9.80 / 6.38^6m .. .. ω² = 1.536^6 .. .. ω = 1.24^-3 rad/s

    Periodic time T = 2π / ω .. .. 2π / 1.24^-3 .. .. .. ►T = 5067.0 s .. (1.40 hr)

  • Anonymous
    10 years ago

    12

  • 8 years ago

    this is simple

    when r (w) squared = g

  • 8 years ago

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    PLEASE ANSWER http://answers.yahoo.com/question/index?qid=201310...

  • 6 years ago

    when r (w) squared = g

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