Calculate Pressure & Height for Steel Bar on 1L Water

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SUMMARY

The discussion focuses on calculating the gauge pressure needed to compress 1 liter of water to 989 mL, expressed in N/m² and psi. It also addresses determining the height of a 1x1 cm² steel bar, with a density of 7.86 g/cm³, required to exert this pressure. Additionally, the conversation explores the total weight of steel necessary to apply this pressure on a cubic face of water, emphasizing the importance of water's compressibility in the calculations.

PREREQUISITES
  • Understanding of gauge pressure and its calculation
  • Knowledge of the properties of water and its compressibility
  • Familiarity with the density of materials, specifically steel
  • Basic principles of fluid mechanics
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  • Research the formula for calculating gauge pressure in fluids
  • Learn about the compressibility of water and its implications in fluid dynamics
  • Study the relationship between pressure, force, and area in fluid mechanics
  • Explore the calculation of weight based on volume and density for different materials
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Students in engineering or physics, professionals in fluid mechanics, and anyone involved in material science or pressure calculations will benefit from this discussion.

predentalgirl1
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I have tried and tried to figure this out but I'm getting no where. Can anyone help me?

(a) Calculate the gauge pressure (it does not include atmosphereric P) required to compress pure water from 1.000 L to 989 mL. Give an answer in both N/m^2 and psi, lb/in^2.

(b) What height in meters and feet of a 1x1 cm^2 steel bar (density=7.86 g/cm^3) is required to exert the pressure found in part (a)?


(c) How many total pounds of steel would be required to exert this pressure on one cubic face of a liter of water (1 L= 1 cubic decimeter)?
 
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The answer has to do with the compressibility of water. Look that up. Then start the problem and if you have a problem, post a more specific question.
 

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