Hydrostatic and atmospheric pressure

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Discussion Overview

The discussion revolves around the concepts of hydrostatic and atmospheric pressure, particularly in the context of a glass of water turned upside down. Participants explore the implications of Pascal's law and the behavior of liquids under varying pressures, questioning why water does not remain in the glass when inverted, unlike in a straw.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant notes that according to Pascal's law, the pressure in a glass with 10 cm of water should be lower than atmospheric pressure, leading to the expectation that water should not fall when the glass is inverted.
  • Another participant clarifies that the pressure at any depth of water is the sum of atmospheric pressure and the hydrostatic pressure from the water column.
  • Some participants express the idea that when the glass is inverted, the pressure at the bottom should be zero, while the pressure at the surface should equal one atmosphere.
  • A participant questions why water can be held in a straw but not in an inverted glass, suggesting that water's inability to maintain its shape contributes to this difference.
  • Surface tension is mentioned as a factor that allows water to hold its shape in a straw due to its small diameter.
  • There is a contention regarding the balance of pressure and the weight of water when the glass is inverted, with differing opinions on whether pressure can balance the weight of the water.
  • One participant asserts that pressure does balance the weight of the water, referencing the phenomenon of a card sticking to the glass when inverted.
  • Another participant challenges this reasoning, pointing out that water does fall from the glass, questioning the validity of the pressure balance argument.

Areas of Agreement / Disagreement

Participants express multiple competing views regarding the behavior of water in an inverted glass versus a straw. The discussion remains unresolved, with differing interpretations of pressure dynamics and the role of surface tension.

Contextual Notes

Some participants rely on assumptions about pressure behavior without fully addressing the implications of weight and surface tension in liquids. The discussion includes references to specific scenarios that may not be universally applicable.

Thom_Silva
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So I've been wondering, 10.3 meter of water amount for one atmosphere, and according to Pascal's law pressure can compute by P=P0+ ρgh. If we have a glass with 10 cm of water inside , the pressure in the glass would be lower than atmospheric pressure and therefore when you turn the cup upside down water shouldn't fall, like when you have a straw! But in reality water does fall, what am i missing ?

thank you for your help :)
 
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The pressure under any depth of water is the atmospheric pressure (P0) above the water plus the rho g h from the static water pressure.
 
I expect that i have a vacuum in the bottom of the glass, so P0=0.
 
Thom_Silva said:
I expect that i have a vacuum in the bottom of the glass, so P0=0.

P0 is the pressure at the top, not at the bottom.
 
I'm talking when you turn the glass upside down... pressure at bottom should be 0, right? pressure at the surface should be equal to 1 atmosphere.
 
My question could be formulated in a different way. If we can hold 10.3 meters of water in a straw, why doesn't the same happen with the glass?
 
Water is a liquid and can't hold its shape well enough to stay in. Try the same with a can of jello.
 
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russ_watters said:
Water is a liquid and can't hold its shape well enough to stay in. Try the same with a can of jello.
So that is the reason...Thank you very much!. In the straw water holds because it's somehow easy for water to maintain it's structure, right ?
 
Thom_Silva said:
So that is the reason...Thank you very much!. In the straw water holds because it's somehow easy for water to maintain it's structure, right ?
Yes. For the small diameter of the straw, the surface tension of the water is enough to hold it's shape.
 
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  • #10
firstly inverting the glass you have p atm at the open surface of the glass trying to push the liquid inwards BUT
oh man you are forgetting mg the weight of water , the pressure cannot balance that !
 
  • #11
No, you're wrong. Pressure does balance that. That's why if you put a card on top of the glass and turn it down, the card would stuck onto the cup as well as the water . Pressure is a manifestation of the weight of a substance on other. I'm pretty sure I'm right, nevertheless it will be good if someone could back me up.
 
  • #12
hey
the card is so light !
however we all know that water falls off the glass, so then how can you reason that ?
if i am wrong
 
  • #13
I could be explaining in words, but this video does a better job :
 
  • #14
i am unable to open the video link
 
  • #15
please send the URL
 
  • #16
Shreyas Samudra said:
please send the URL
Go to youtube search for : The history of the barometer (and how it works) - Asaf Bar-Yosef
 

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