Looking for an equation related to lifting force of air

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    Air Force Lifting
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Hot air balloonists determine the necessary balloon size for lifting by using the principles of buoyancy and weight. The key equation involves balancing the total weight of the basket, balloon, and air against the buoyant force generated by the volume of air displaced. The buoyant force is calculated using the density of the surrounding air and gravitational acceleration. A helpful resource was shared, detailing the physics of ballooning, which can assist in understanding these concepts further. Understanding these forces is crucial for effective hot air balloon design and operation.
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Hello,

I've been wondering for a while now how hot air balloonists figured out how big their balloons needed to be to lift themselves, the basket,the balloon itself, ect. Is there an equation that would tell me how much lifting force I could get out of x amount of air at x temperature, what volume that would take up, and maybe the pressure?

Thanks!
 
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I didn't read the document, but you can construct a basic model just by knowing two forces: the bouyancy force and the weight force.

(mass_basket+mass_balloon+mass_air_in_balloon)*g = Volume_balloon*g*density_surrounding_air

This equation would be for if the balloon were not accelerating up or down.
 
Yep, that is very similar to what this fine gentleman derived. Thanks!
 

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