Pressure Difference: U-Tube Manometer w/ 825kg/m^3 Fluid

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SUMMARY

The discussion centers on calculating the pressure difference in a U-tube manometer containing a fluid with a density of 825 kg/m³ and a height difference of 35 cm. The pressure difference can be determined using the formula P = ρgh, where ρ is the fluid density, g is the acceleration due to gravity (approximately 9.81 m/s²), and h is the height difference in meters. The correct calculation yields a pressure difference of approximately 2,850.75 Pa (Pascals). Understanding this calculation is essential for applications in fluid mechanics and pressure measurement.

PREREQUISITES
  • Understanding of fluid density and its units (kg/m³)
  • Knowledge of basic physics principles, specifically pressure calculations
  • Familiarity with the concept of height difference in fluid columns
  • Basic understanding of the U-tube manometer setup
NEXT STEPS
  • Research the formula P = ρgh for pressure calculations in fluids
  • Explore the principles of hydrostatics and fluid statics
  • Learn about different types of manometers and their applications
  • Investigate the effects of fluid density variations on pressure measurements
USEFUL FOR

Students in physics or engineering, particularly those studying fluid mechanics, as well as professionals involved in pressure measurement and instrumentation design.

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Homework Statement


A U-tube manometer contains a fluid with density of 825 kg/m^3. The difference in height of the two columns is 35cm. What is the pressure difference?

Homework Equations


None?

The Attempt at a Solution


I have no bloody clue. I'm sure I've done this before in AP Chem, but right now... I'm clueless. I think its something really simple, too.
Edit: Now that I think of it... the time variable in P=m/(A*t^2) doesn't change (there is no delta t), so density of the liquid multiplied by the difference in height squared would give me the difference in pressure. Am I even close to the truth?
 
Last edited:
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Pressure is force / area , or weight / area if you prefer.
You don't need the area of the tube since this cancels out, but if you prefer you can think of it as 1m^2.
Now just work out the weight of the extra 35cm * 1m^1 of fluid.
This is the weight pressing down on 1m^2 = pressure (watch the units)
 

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