B Trying to understand hydrostatic pressure with different vessel widths

AI Thread Summary
Hydrostatic pressure remains consistent across vessels of different diameters, such as 1 meter and 1 centimeter, due to the principle that pressure is determined by the weight of the liquid column above, not the cross-sectional area. Even with extreme reductions in diameter, such as 1 millimeter or smaller, the pressure at a given depth remains the same. While the total weight of water in larger pipes increases, the pressure distribution does not change. At atomic scales, however, the behavior of pressure may differ due to specific atomic properties, complicating the analysis. Overall, for standard vessel sizes, hydrostatic pressure is uniform regardless of diameter.
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hydraulic pressure at minimum pipe diameter
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will the hydrostatic pressure be the same on the vessels shown with a different diameter of 1 meter and 1 centimeter? and will it be the same in both vessels if the first pipe has a diameter even less than 1 millimeter, 1 thousandth of a millimeter, 1 atom?
 
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Yes. Same pressure. PSI = pounds per square inch. Regardless of the pipe diameter, you can think of the weight of a thin vertical column of liquid. If you double the cross sectional area of that column, you also double the weight, so the change cancels out.
 
When you get down to atomic distance scales these rules are likely to break down. But the answer will depend on a lot of specific things, like which sort of atoms, etc. There's no simple answer in the nanoscale cases.
 
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abrek said:
will the hydrostatic pressure be the same on the vessels shown with a different diameter of 1 meter and 1 centimeter?
As already covered by @DaveE the answer is yes. The weights of the two water pipes will be different (more water total means a heavier pipe+water combination), but the pressure distributions will be the same.
 
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