Calculating Weight Lifted by 11.6 PSI Air Compressor

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An air compressor outputting 11.6 PSI can lift objects by applying pressure over a specific nozzle area. The upward force generated by the compressor is calculated using the formula P x N, where P is pressure and N is the nozzle's cross-sectional area. To lift an object, this force must exceed the weight of the object, represented by the equation PN > mg, where m is the object's mass and g is the acceleration due to gravity. The stretchiness of the plastic skin also affects the lifting capacity, as it can influence the effective area and pressure distribution. Understanding these factors allows for accurate calculations of the maximum weight that can be lifted.
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psi --> pounds lifted?

I have a very, very small air compressor that puts out 0.8 bar or 11.6 PSI. I would like to know how to compute if I were to put a plastic skin over the top of the output (like a balloon), how much weight could be lifted by the air compressor.

I realize that part of the equation is going to be the stretchiness of the skin. Here’s the skin I'm using right now: https://www.amazon.com/gp/product/B000RFU0PS/?tag=pfamazon01-20 (Of course, I’d prefer to understand how the skin factors into the equation so that I can learn and do this myself.)

For a simple visual, think laying a book on top of an inflating balloon. How much can the book weight before the compressor maxs out?

Thank you in advance for some guidance.
 
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Pressure is a force per unit area. Assuming the force is uniform across the nozzle, then the total upward force should be P x N, where N is the nozzle cross-sectional area.

In order to lift something, this force must overcome gravity, ie PN > mg, where m is the mass of the object to be lifted and g the acceleration of gravity.

The condition PN/g > m places an upper limit on the mass you can lift.
 
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