Elasticity: finding weight density

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SUMMARY

The discussion centers on calculating the weight density of water under varying pressure conditions. It is established that water is considered incompressible, meaning its density remains largely unchanged with pressure variations. However, it is noted that at extreme depths, such as the ocean floor, water's density can increase slightly due to pressure, which is quantified by the bulk modulus of water. The conversation highlights the importance of precise terminology, correcting 'weight density' to simply 'density'.

PREREQUISITES
  • Understanding of fluid mechanics concepts, specifically density and pressure.
  • Familiarity with the bulk modulus of materials, particularly water.
  • Knowledge of the properties of incompressible fluids.
  • Basic mathematical skills for solving density and pressure equations.
NEXT STEPS
  • Research the bulk modulus of water and its implications on density under pressure.
  • Study the effects of pressure on the density of incompressible fluids.
  • Explore the concept of weight density in fluid mechanics.
  • Learn about the behavior of fluids at extreme depths, such as in oceanography.
USEFUL FOR

Students and professionals in fluid mechanics, oceanographers, and anyone interested in the physical properties of water under varying pressure conditions.

kthouz
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you have been given weight density Ao of water at normal atmosphere pressure Po and you asked to find its new weighty density A1 if the new pressure s P1.

I tried to solve it assuming that if there is a compression( increase of pressure) the weighty demsity decreases. But how to find it and pove it?
 
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Water is incompressible so its density does not change with pressure.

I have never heard of 'weight density' or 'weighty demsity' so I assume you mean density.

There are a lot of typos in your submission. Make a habit of reading what you have typed.
 
Water is only 'almost incompressible'. Not completely. At bottom of the ocean depths its a percent or two more dense just due to the pressure. You need to look up the bulk modulus of water.
 

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