Calculating Gauge Pressure in a Closed Tube

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SUMMARY

The gauge pressure at point A in the closed tube filled with oil is calculated using the formula gauge pressure = (density)gh. Given that the density of the oil is 900 kg/m³ and the height (h) is 0.5 m, the gauge pressure is determined to be 4,400 Pa. The initial calculation incorrectly included atmospheric pressure, which is unnecessary for gauge pressure determination. The correct approach focuses solely on the oil's density and height.

PREREQUISITES
  • Understanding of fluid mechanics principles
  • Familiarity with gauge pressure and its calculation
  • Knowledge of the density of common fluids, specifically oil
  • Basic proficiency in using the formula po + (density)gh
NEXT STEPS
  • Study the derivation and applications of gauge pressure in fluid mechanics
  • Learn about the properties and densities of various fluids, including oil
  • Explore the implications of atmospheric pressure in fluid calculations
  • Investigate advanced fluid dynamics concepts, such as hydrostatic pressure
USEFUL FOR

Students in physics or engineering courses, particularly those studying fluid mechanics, as well as professionals involved in hydraulic systems and pressure measurement.

Beastegargoyl
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Homework Statement


The container shown in the figure is filled with oil. It is open to the atmosphere on the left.
What is the gauge pressure at point A? Point A is 50cm high from the ground and 50 cm from the top.

Homework Equations


po+(density)gd



The Attempt at a Solution


I took 1 atompshere in Pa of 1.013*105+900*G which is 9.8*.5m and I came up with an answer of 1.057 then I subtracted the gauge pressure of 101.3 kPa and solved for the final answer to be 4,400Pa.

Does anyone come up with the same answer?
 
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What's the density of the oil? Gauge pressure is just (density)gh, so you don't have to calculate total pressure and then subtract atmospheric pressure.
 
The denisty of oil is 900kg/m3
 

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