Finding Gauge Pressure in this Manometer

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SUMMARY

The discussion focuses on calculating the gauge pressure at point 4 in a manometer using the formula Pgage = Pabs - Patm. The user attempts to apply hydrostatic principles, specifically using the densities of fluids and gravitational acceleration to derive pressure differences between various points in the system. Key calculations involve determining the absolute pressure at point 4 by considering the contributions from different fluid columns and atmospheric pressure. The final gauge pressure is derived after calculating the necessary pressure differences between points in the manometer.

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  • Understanding of hydrostatic pressure principles
  • Familiarity with fluid density and specific gravity concepts
  • Knowledge of pressure calculations in fluid mechanics
  • Ability to apply the hydrostatic pressure formula: ΔP = ρgΔh
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  • Learn about specific gravity and its applications in fluid mechanics
  • Explore the concept of gauge pressure versus absolute pressure
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  • #31
In addition to Post #30 ...

atpeef said:
##P_{3} = \left( 800 \ \frac{kg}{m^3} + 9.8 \ \frac{m}{s^2} + 0.15 \ m \right) + P_{4}##

So, the pressure difference between point 3 and point 4 is:

##P_{3} - P_{4} = \left( 800 \ \frac{kg}{m^3} + 9.8 \ \frac{m}{s^2} + 0.15 \ m \right) = 1,176 \ Pa##

Is this correct?
The final value is correct but there are some errors in what you have typed. You have typed additions (##+##) where you should have multiplications (##\times##).
 
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  • #32
atpeef said:
I don't know. Please explain.
If you would imaginarily remove the pipe and tank and liquid above cross-section 4, how the remaining liquid columns would naturally move to find a new balance?
How much effort would be needed to avoid that movement?
 

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