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#1 |
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I was wondering about water pressure and if it is constant according to depth. For example, if we had a cylinder filled with water (let's say for arguments sake 200mm diameter by 10m deep/ high), and a tank filled with water (let's suppose 10m diameter by 10m deep/ high) would the water pressure be equal at the bottom of both vessels?
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#2 |
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Pressure is a ratio (Force over area), and so is defined by being constant in the two scenarios you described.
Consider a very long thin tube open at both ends plunged from sea level to the bottom of the Mariana's Trench. Would you expect the pressures inside the tube to be different to the pressures outside it? |
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>>>Imagine a tank with a small tube running up the side that is attached at the lower level. Does the size of the tank affect the liquid level in the tube? Pressure is depth dependent, not volume dependent
There may be some point where the thinness of the tube/vessel has the adhesion of the liquid to the walls starting to reduce the weight of the liquid mass |
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#6 |
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> There may be some point where the thinness of the tube/vessel has the adhesion of the liquid to the walls starting to reduce the weight of the liquid mass
It has to get a few mm across for that to happen. For most tanks the pressure is dependent only on depth. For another piece of fun, did you know that we weigh less in Australia than in England because the acceleration due to gravity is larger over there? It's quite a significant difference, of the order of 0.1%. Which means that in England the pressure in a water tank at a depth of 10 m is, um, about 200 Pa more. > PS. "weigh less" I weigh about 1006 Newtons. |
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#7 |
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For another piece of fun, did you know that we weigh less in Australia than in England because the acceleration due to gravity is larger over there? It's quite a significant difference, of the order of 0.1%. Which means that in England the pressure in a water tank at a depth of 10 m is, um, about 200 Pa more. |
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Could you explain the mechanics involved here Moll?. I take it this is due to distance from the equator. I had the picture that gravity maintained a constant value. |
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>>For capillarity to come into the equation, you're talking a few microns rather than a few mm.
Probably, didn't state a vessel or tube diameter, someone else did. The temp of the liquid and characteristics of the surface and purety of the liquid [water I think in this case] would have an influence. For most practical purposes when considering the weight of water as relates to head pressure for flow considerations, pipe drag and other factors are significant. |
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