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Acceleration Due to Gravity

  1. Jun 25, 2010 #1
    Which pattern of Acceleration Due to Gravity (ADG) (approximately) shall we expect to measure inside a building like "www.katrine-lester.dk/wp-content/Domus_vista_4-Small.jpg"[/URL]
    Notice the values I am asking for is primary the values caused by the buildings own gravity, not the one due to the free air gradient.

    [B]Data[/B]
    [LIST]
    [*]Height 100 Meter
    [*]Lenght 70 Meter
    [*]Width 20 Meter
    [*]Weiht (estimated) 40.000.000 KG
    [*]30 floors
    [/LIST]
    -------------------------------------------------------------------------------------------------------------------------------
    [B]1[/B]
    [B]Would the ADG caused by the building itself be:[/B]
    [LIST]
    [*]Positive at the top for (for example + 0.100 Micro Gal)
    [*]Zero, or almost zero at the Centre (14 th or 15 th and 16 th floor)
    [*]Negative at the ground floor (for example minus 0.100 Micro Gal)
    [/LIST]
    -------------------------------------------------------------------------------------------------------------------------------
    [B]2[/B]
    Or shall we expect ADG [B]due to the buildings own gravity [/B]to be almost stable the whole way from the top to the bottom?
    (for example + 0.100 Micro Gal)
    -------------------------------------------------------------------------------------------------------------------------------
    [B]3[/B]
    Or shall we expect ADG [B]due to the buildings own gravity [/B] to decrease the whole way from the top to the bottom?
    -------------------------------------------------------------------------------------------------------------------------------
    [B]4[/B]
    Or what shall we expect?
     
    Last edited by a moderator: Apr 25, 2017
  2. jcsd
  3. Jun 25, 2010 #2

    Ich

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    Science Advisor

    Consider a spherical cow in vacuum, its gravity would be close enough to that of the building. Use symmetry arguments.
     
  4. Jun 25, 2010 #3
    Shall I understand this as you think option 1 is the answer ?
     
  5. Jun 25, 2010 #4

    Ich

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    Science Advisor

    Up to signs, yes.
     
  6. Jun 25, 2010 #5
    I hope not everybody agrees, because this seems to be wrong.
     
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