Understanding Fluid Pressure: Get Help Here!

AI Thread Summary
Fluid pressure at the same depth in a static fluid is equal, but variations occur when considering open and closed systems. At point A and D, atmospheric pressure is exerted, making them equal, while point B experiences higher pressure due to the weight of water above it. Point C, being closer to the outlet pipe, has lower pressure than B because the fluid accelerates as it moves towards the outlet, creating a pressure drop. This pressure variation is necessary to balance the forces as fluid velocity increases. Understanding these dynamics clarifies why pressure differs even at the same depth in a fluid system.
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Homework Statement


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Homework Equations


fluid pressure = fluid density * depth * g

The Attempt at a Solution


My understanding is that fluid pressure at any two points at the same depth is equal, for a fluid at rest. But because one end is open, the pressure at point C is less than B and equal to A? I don't understand intuitively how this works.

Any help would be appreciated - thanks!
 
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Well at point A - what is exerting the pressure?
What about at point D?

Would this be a high or a low pressure compared with the rest?

Remains to consider B and C ... what is exerting the pressure in each case?
Is there anything else that would contribute to the pressure?
 
At point A, we have atmospheric pressure, as does point D, so they are equal I think. B has the weight of the water molecules above it, so it experiences more pressure than A and D. I'm just not sure why C is < B when they are at the same depth. Is it because molecules at C are moving but not at B?
 
I'm just not sure why C is < B when they are at the same depth. Is it because molecules at C are moving but not at B?
That's the one - notice that B is placed conspicuously far away from the entrance to the pipe that C is in.

You could also look at it like this: The pressure has to drop as you approach D or A.
C is closer to the low pressure region than B is.
 
What's happening is that the fluid that is approaching the outlet pipe has to get accelerated from the very low velocity away from the pipe (e.g., at point B ) to the higher velocity at point C. To accelerate it, you need an imbalance of force. This is supplied by a pressure variation, from higher pressure away from the pipe entrance to lower pressure within the pipe.
 
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