That's what I thought you might be doing. It's pounds divided by square inches. That can be converted to pounds per square ft if you like by multiplying by the value of one, but instead of using 1, you use 144 sq in/1 sq ft as that is also like multiplying by one. You can calculate the total internal surface area and figure out the force, but that force is for the whole area. But in all cases the pressure is 2 pounds per square inch, not 2 pounds by itself.
If you blow 2 psi of air at your skin of your arm, your arm won't break, but your arm hairs might wiggle some. Your skin can withstand about 1000 psi and although glass strength varies that's also the suggested value for regular glass.
Yes, the force is for the entire area. But you
cannot state that a material can "withstand" a certain pressure as a blanket statement. Being able to withstand a certain pressure is entire a topic of not only the material, but it's size and shape as well. You must do an internal force analysis to determine if the material is capible of withstanding that pressure or not.
Glass has a tensile strength of roughly 1000 psi. This
absolutely, unequivocally does NOT mean that you can make a container out of glass and put 1000 psi in it! Tensile strength is how much force it takes to pull a material apart. For example, in the case of glass, if you had a glass rod with a diameter of 1.13" (cross-sectional area of 1 in^2), and were able to grip the ends of the rod in such a manner that you could pull the rod apart with a force completely in line with the axis of the rod, without the point you are gripping the rod breaking, then it would take roughly 1000 pounds of force to cause the rod to break. This is because you have reached the tensile strength of the glass, 1000 lbs/1 in^2 = 1000 psi. Make sense?
Okay, now the problem is that in a cylindrical shape, such as a carboy or beer bottle, the force is being applied not in the same way that you would when trying to pull apart a glass rod in the above example. The force of air inside the carboy is pushing outwards, which causes the glass to stretch which causes tensile stresses inside the glass that run more or less tangentially with the surface of the glass. In transition areas this gets a bit more complicated, and there are concentrations of stresses. This can all be calculated, however it's been about ten years since we covered this in one of my mechanical engineering classes, and shapes like carboys that aren't perfect spheres or cylinders get more complicated. The key takeaway though is somewhere in the carboy, a portion will reach that 1000 psi point and fail, which will cause the carboy to shatter as glass does. And this will be a point
far, far lower than an internal air pressure of 1000 psi, because the tensile stresses within the glass will be much, much higher than the pressure of the air inside the glass. I'd be shocked if a carboy could hold 50 psi. (and I would be
nowhere near such a theoretical carboy!)
There's roughly 2800 square inches of skin on a human. If said human dives down 10 feet, call it just 4 psi, that's 11,200 pounds of force on the skin. In your world, do people get crushed into pancakes in the deep end of the pool by that 5 and 1/2 tons of force?
People are incompressible, air on the other hand is.
Big difference.
P.S. Where is Vale71 when you need him?
People have air and other gasses in them. They are very compressible. The liquid and completely solid part of them is not compressible.
If the pressure on the inside of the skin matches that of the outside, there is no force on the skin. If you take a water balloon, fill it with water and no air, and take it to any depth the pressure of the water inside the balloon and the pressure of the water on the outside of the balloon is the same. There is therefore no force on the balloon itself.
Most of humans are effectively water, so the pressure on the inside matches that of the outside, and there is no force applied to the skin. However the lungs are full of air at a pressure of 0 psig, so they will indeed get squished quite easily when diving. This is why it would be impossible to breathe through a hose that goes to the surface if you were at ten feet, the pressure on your lungs is just too much for your muscles to expand your lungs. The squeezed lungs isn't an issue with free divers, as they aren't breathing. Scuba divers get around this issue by having a regulator that delivers air at the pressure of the surrounding water. So at 90 feet the scuba regulator is delivering air at a pressure of approximately 40 psig. Fun fact, while breathing air at 40 psig isn't an issue when the water pressure around you is 40 psig, holding your breath at this point and ascending will cause air embolisms and potentially ruptured lungs if you continue to hold your breath. In normal diving breathing normally will take care of this, but during an emergency ascent it is important to continuously exhale to allow the expanding air to escape your lungs.
All of my statements are science fact and my numbers are correct. If you want to be cautious that is wise, if not then I wish you luck. But telling new people who don’t understand the physics behind this that it’s perfectly safe is reckless.
Your numbers aren't wrong, but similarly to the case of saying "glass can withstand 1000 psi" there is a lot of nuance there. It's generally not useful to calculate a blanket total force number applied evenly across an area, even if the calculation is entirely accurate.
Caution in the pressurization (or evacuation) of glass containers not designed for such is indeed wise though.