Bottomless fish tank pressure brainteaser

In summary: But if you poke a hole in the bottom of the tank, the tension of the water above will prevent it from leaking, as long as the pressure of the water inside is less than the pressure of the air outside. So, in summary, the water in the tank will not leak from the bottom as long as the pressure inside is less than the atmospheric pressure outside, making it a unique and stable set-up for a fish tank.
  • #1
GiTS
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Link at the bottom if you do not know what I am talking about. Fish tank that works like pet watering bowl.

If you poked a hole at the top air would go rush in.
If you poked a hole at the bottom water would rush out.

At what point in the tank would water be under so little pressure, the tension would be enough for it to keep from leaking?

http://www.okeanosgroup.com/blog/aquariums/fun-with-physics-bottomless-fish-tanks/

This is a brain teaser but I don't have the answer yet.
 
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  • #2
I am not sure exactly what you are asking. Surface tension doesn't play a role here. It is all about pressure. The surface of the water outside the pillar-type tank is under atmospheric pressure of 101325 Pa (14.7 psi). At that same level inside the vertical tank, there is no air, so it is only under the pressure from the water above. If it was going to fall down out of the vertical tank and thus raise the surface level outside of the tank, it would have to exert more pressure at the level of the surface than the air does, so conceivably, you could have a column of water up to 10 m tall before the tank would empty itself.

If you poke a hole in the top, no amount of surface tension will save you. That water will fall right out and overflow the bottom tank.
 

FAQ: Bottomless fish tank pressure brainteaser

1. What is a "bottomless fish tank pressure brainteaser"?

A bottomless fish tank pressure brainteaser is a hypothetical scenario used to illustrate concepts in physics and fluid mechanics. It involves a fish tank with no bottom, suspended in mid-air, and filled with water. The question is then posed as to what would happen to the pressure at the bottom of the tank as more and more water is added.

2. How does the height of the water affect the pressure in the bottomless fish tank?

The height of the water in the bottomless fish tank has a direct impact on the pressure at the bottom. As more water is added, the height increases, and therefore the pressure at the bottom also increases. This is due to the weight of the water pushing down on the bottom of the tank.

3. Does the shape of the fish tank affect the pressure in the bottomless fish tank?

The shape of the fish tank does not affect the pressure in the bottomless fish tank. As long as the height of the water remains the same, the pressure at the bottom will also remain constant, regardless of the shape of the tank. However, the shape may affect the distribution of pressure throughout the tank.

4. What happens to the pressure at the bottom of the tank when the tank is filled with a different fluid?

The pressure at the bottom of the tank will depend on the density of the fluid. A denser fluid will result in a higher pressure at the bottom, while a less dense fluid will result in a lower pressure at the bottom. However, the height of the fluid will still play a significant role in determining the pressure at the bottom.

5. How does the pressure at the bottom of the tank change when the tank is tilted?

The pressure at the bottom of the tank will remain the same regardless of the tilt of the tank. This is because the pressure at the bottom is determined by the height of the fluid and the weight of the fluid above it, not the orientation of the tank. However, the pressure may be distributed differently throughout the tank when it is tilted.

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