Gauge pressure and atmospheric pressure

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SUMMARY

The discussion focuses on calculating the gauge pressure of object B, which is submerged at a depth of 1 meter in a liquid with a specific gravity of 0.877. Given that the gauge pressure of object A is 3 atm and the atmospheric pressure is 1 atm, the gauge pressure of object B can be determined using the relationship between the two objects' densities. Since object B's density is one third that of object A, and both are submerged at the same depth, the gauge pressure of object B is also 3 atm, as gauge pressure is dependent on the depth and density of the fluid, not the density of the objects themselves.

PREREQUISITES
  • Understanding of gauge pressure and its definition
  • Knowledge of specific gravity and its implications in fluid mechanics
  • Familiarity with the equation p_gauge = P - P_atm
  • Basic principles of hydrostatics and pressure in fluids
NEXT STEPS
  • Study the concept of hydrostatic pressure in fluids
  • Learn about the relationship between density, specific gravity, and pressure
  • Explore the differences between gauge pressure and absolute pressure
  • Investigate applications of pressure calculations in real-world scenarios
USEFUL FOR

Students studying fluid mechanics, engineers working with pressure systems, and anyone needing to understand the principles of gauge pressure in submerged objects.

ppppparker
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Homework Statement


Objects A and B are submerged at depth of 1m in a liquid with specific gravity of 0.877. Given that density of object B is one third that of object A and that the gauge pressure of object A is 3atm, what is the gauge pressure of object B? (assume atmos pres is 1 atm and that g = 9.8m/s^2

Homework Equations


p_gauge = P - P_atm

The Attempt at a Solution


[/B]
I think I do understand gauge pressure, that it is a difference in pressures. Specifically the diff between atmospheric pressure and the pressure in the container. But I think of gauge pressure always in terms of a tire. Thats what's confusing me. Is the question saying that the objects have enclosed air that is at a certain pressure? I have the answer but failing to put the concepts together, please help thanks
 
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ppppparker said:

Homework Statement


Objects A and B are submerged at depth of 1m in a liquid with specific gravity of 0.877. Given that density of object B is one third that of object A and that the gauge pressure of object A is 3atm, what is the gauge pressure of object B? (assume atmos pres is 1 atm and that g = 9.8m/s^2

Homework Equations


p_gauge = P - P_atm

The Attempt at a Solution


[/B]
I think I do understand gauge pressure, that it is a difference in pressures. Specifically the diff between atmospheric pressure and the pressure in the container. But I think of gauge pressure always in terms of a tire. Thats what's confusing me. Is the question saying that the objects have enclosed air that is at a certain pressure? I have the answer but failing to put the concepts together, please help thanks
Gauge pressure normally means that when the pressure gauge reads zero, there is still atmospheric pressure present. Absolute pressure, on the other hand, means that the pressure scale reads zero when there is a perfect vacuum present. Atmospheric pressure has a non-zero reading, like 14.7 psi or 101.325 kPa, on the absolute pressure scale.

Still, given the particulars of the problem statement, since the two objects are submerged to the same depth in the same liquid, what does this tell you about the pressure of object B, given the pressure of object A?
 
The wording is indeed strange. Since you know nothing else about the objects, it is curious to speak of the gauge pressure of the objects. Surely it means the gauge pressure on, or at, the objects?
 

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