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Math Help - Calculating Buoyancy

  1. #1
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    Calculating Buoyancy

    Hi

    Does anyone know how to calculate how much volume of air is required to make an object buoyant?

    I'm about to construct a floating golf green and would like to know how much volume of air will be required to make it float. Is there a simple equation that could give me this volume? I'd like to go about this scientifically rather than just shoving random numbers of air tight containers underneath!

    What measurements do I require other than the mass of the object? I think this will be approximately 150kg.

    Thanks in advance for any help you can give me.
    Last edited by rhyster; October 13th 2009 at 10:03 PM. Reason: wrong terminology
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  2. #2
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    Quote Originally Posted by rhyster View Post
    Hi

    Does anyone know how to calculate how much volume of ballast is required to make an object buoyant?

    I'm about to construct a floating golf green and would like to know how much ballast I would need to make it buoyant. I want to know how much volume of air will be required to make it float. Is there a simple equation that could give me this volume? I'd like to go about this scientifically rather than just shoving random numbers of air tight containers underneath!

    What measurements do I require other than the mass of the object? I think this will be approximately 150kg.

    Thanks in advance for any help you can give me.
    1. I assume that the object should float in water.

    2. Since the ratio of water \dfrac{mass\ in\ kg}{volume\ in\ dm^3} = 1 you must only make the volume sufficiently large. With your example: With a mass of 150 kg you need at least a allover volume of 150 dm≥.
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