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physics

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The earth has a radius of 6380 km and turns around once on its axis in 24 h.

1)What is the radial acceleration of an object at the earth's equator? Give your answer in m/s^2

2) What is the radial acceleration of an object at the earth's equator? Give your answer as a fraction of g.

3) If a_rad at the equator is greater than g , objects would fly off the earth's surface and into space. What would the period of the earth's rotation have to be for this to occur?

  • physics -

    1) acceleration = r w^2
    where w is the angular velocity in radians per second
    w = 2 pi/(24*3600)
    r = 6380 km

    2) Divided the acceleration by 9.8 m/s^2 per g

    3) Solve g = r w^2 for the w value that lets objects fly off the earth.

  • physics -

    9.78

  • physics -

    0.039

  • physics -

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  • physics -

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