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Thread: Math mixed with Science: How High Is The Sky

  1. #1 Math mixed with Science: How High Is The Sky 
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    i'm really stumpted on this one.

    Here is the Question:

    If the normal atmospheric pressure is 101.3kPA ( Thousand Pascals ) and assume that the desity of air is 0.0013g/cm3 is everywhere throughout the atmosphere, estimate the height of the sky.

    Any suggestions would be appreciated. Please explain to me your steps and thinking process. :-D


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  3. #2  
    Forum Radioactive Isotope mitchellmckain's Avatar
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    Consider a collumn of air in the shape of a very tall oblong box 1cm by 1cm by a height h which is the height of the atmosphere. Now the pressure at the bottom is simply the weight of the air (mass times g = 980 cm/s^2), divided by the area of the bottom of the box 1cm^2. That is the formula P=F/A , pressure equals force divided by area (weight is a force).


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  4. #3  
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    Cant you just use Stevins law for this one?

    p = [density] * [height] * [gravity acceleration]

    [height] = p / [density] * [gravity acceleration]
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  5. #4  
    Forum Radioactive Isotope mitchellmckain's Avatar
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    Quote Originally Posted by Ultrashogun
    Cant you just use Stevins law for this one?

    p = [density] * [height] * [gravity acceleration]

    [height] = p / [density] * [gravity acceleration]
    Of course you can.

    P = F/A = (mass * grav accel) / A = (mass / A) * (grav accel)
    = (mass /(A * height)) * height *(grav accel)
    = (mass/volume)* height*(grav accel)
    = density * height * (grav accel).
    See my physics of spaceflight simulator at http://www.relspace.astahost.com

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