Water pressure vs. area of an object

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SUMMARY

The discussion centers on the relationship between water pressure and the area of a solid copper ball submerged at a depth of 7.0 km in seawater. The pressure at this depth can be calculated using the equation P = Po + pgh, where Po is the atmospheric pressure, p is the density of seawater (1030 kg/m³), and h is the depth. The problem emphasizes the importance of understanding volume elasticity and the bulk modulus of copper to determine how the diameter of the ball decreases under pressure. Participants recommend consulting tables for the bulk modulus of copper and its alloys to solve the problem accurately.

PREREQUISITES
  • Understanding of hydrostatic pressure calculations
  • Familiarity with the bulk modulus concept
  • Knowledge of material properties, specifically for copper
  • Basic principles of volume elasticity
NEXT STEPS
  • Research the bulk modulus of copper and its alloys
  • Study hydrostatic pressure equations in fluid mechanics
  • Explore the effects of pressure on material dimensions
  • Learn about volume elasticity and its applications in engineering
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Students and professionals in materials science, mechanical engineering, and physics, particularly those interested in the effects of pressure on solid materials in fluid environments.

ebeck1
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I've been looking at this question for about 1 hour now, and cannot figure out the relationship between the distance an object is at the bottom of the ocean vs. its area... The question is:
A solid copper ball with a diameter of 3.20 m at sea level is placed at the bottom of the ocean, at a depth of 7.0 km. If the density of the seawater is 1030 kg/m3, how much does the diameter of the ball decrease when it reaches bottom?

I used the equation P=Po+pgh to solve for the pressure at the bottom of the ocean but cannot find a relation of initial pressure and initial are to final pressure and final area...
 
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This problem is obviously about volume elasticity, don't they give you the bulk modulus? look for tables in your textbook about bulk modulus of copper and its alloys.
 

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