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Conceptual pressure question

Discussion in 'MCAT Study Question Q&A' started by SaintJude, 02.15.12.

  1. SaintJude

    SaintJude

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    View attachment Picture 20.png

    EK Can someone explain?

    Edit: EK's explnation: The fluid at A, C, D is at atmospheric pressure. The fluid at B is at atmospheric pressure plus "pgh"[the elevation head].
    Last edited: 02.20.12
  2. MedPR

    MedPR

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    Well, A and D are both just atmospheric pressure, so those are out. If I'm not mistaken, since fluids are incompressible, any fluid at a particular depth will have equivalent pressure as well. So, I don't know between B and C?

    B seems like it would have higher pressure because there is taller column of water above it, but C is in a smaller volume (a little pipe vs the huge beaker). Although, according to my ruler, point C is actually slightly lower than point B. So C? :)
  3. SaintJude

    SaintJude

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    Yeah, I follow you: A& D are immediately out. I myself have trouble distinguishing between B& C.
  4. milski

    milski 1K member

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    C is slightly lower. The shape of the container around it does not matter.
  5. SaintJude

    SaintJude

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    No, the answer is B. And I think point C and point B were intended to be shown at equal heights...
  6. MedPR

    MedPR

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    If B is the answer then the only explanation I can think of (why it's not C) is that there is a taller column of water above B than C. Pressure = patm+pgh. hB is greater than hC.
  7. milski

    milski 1K member

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    Or the pressure in the tube is lower since the water is moving there and the pressure is lower due to Bernoulli.
  8. MedPR

    MedPR

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    Yea that too. I have a feeling I'm going to be wrong, but I'm going to say that velocity at C is higher than velocity at B (continuity) and higher velocity = lower pressure (bernoulli)? :)
  9. silverice

    silverice

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    can you please elaborate on this a little more?
  10. milski

    milski 1K member

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    That would be it, you're correct this time.

    To make that assessment, you want B and C to be equally high. If B is higher than C, you'll have to do the math with the exact pressures, velocities, fluid, etc. to determine which one is lower.
  11. milski

    milski 1K member

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    You can consider the big reservoir as a very wide pipe and the syphon as a much smaller pipe. You have (supposedly) laminar flow and the points are at the same height. Apply Bernoulli's law and you'll have faster velocity of movement and lower pressure in the tube with lower area.
  12. TXKnight

    TXKnight Better Known as TXK

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    I go with B since it has both depth pressure and atm pressure on top. C is lower pressure due to faster speed. A and D are at atmospheric pressure. Whats the answer?
  13. ljc

    ljc

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    Hoppin' on board the "B" bandwagon here.
  14. MT Headed

    MT Headed snow, PBR, and bears Lifetime Donor

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    It's B, for the bernoulli reasons MedPR and others outlined above.
  15. dmf2682

    dmf2682

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    B has higher static pressure, b and c have the same total pressure.
  16. MedPR

    MedPR

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    What?
  17. dmf2682

    dmf2682

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    Total pressure is static pressure plus dynamic head. Think of it as an analogy for total energy being the sum of your potential and kinetic energy.
  18. MedPR

    MedPR

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    What is "dynamic head"?
  19. dmf2682

    dmf2682

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    .5*density *velocity^2
  20. MedPR

    MedPR

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    Oh, right. I remember reading about "heads" in EK. Better go back and take another look. I know what you're referring to, but I have no idea what it means.
  21. dmf2682

    dmf2682

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    This is a way of expressing Bernoulli. Air over a wing flows faster than the air flowing on the bottom surface. So the dynamic head is higher on top than on the bottom. In an ideal situation the total pressure is constant, which means the top of the wing sees a lower static pressure than the bottom. So over the area of the wing the bottom gets pushed on more than the top, and lift is generated.

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