How Does Doubling Water Depth Affect Aquarium Wall Pressure?

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SUMMARY

The discussion focuses on calculating the increase in total force on a wall of a large aquarium when the water depth is doubled from 2.00m to 4.00m. The relevant equations include pressure calculation using p = P0 + Dgh and force calculation with F = PA. The density of fresh water is a critical factor in determining the pressure exerted on the wall. The solution approach suggested involves using average pressure rather than integration to simplify the calculation.

PREREQUISITES
  • Understanding of fluid mechanics principles, specifically hydrostatic pressure.
  • Familiarity with the equations of pressure (p = P0 + Dgh) and force (F = PA).
  • Knowledge of density concepts, particularly for fresh water.
  • Basic algebra skills for manipulating equations and calculating values.
NEXT STEPS
  • Research the concept of hydrostatic pressure in fluids.
  • Learn how to calculate force on submerged surfaces using average pressure.
  • Explore the implications of water density on pressure calculations.
  • Study the effects of varying water depths on structural integrity in aquariums.
USEFUL FOR

Students studying fluid mechanics, engineers designing aquariums, and anyone interested in the principles of pressure in fluids.

auk411
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Homework Statement



A large aquarium of height 5.00m is filled with fresh water to a depth of 2.00m. One wall of the aquarium consists of thick plastic of 8.00m wide. By how much does the total force on that wall increase if the aquarium is next filled to a depth of 4.00m.

D= density

Homework Equations



p = P0 + Dgh

F=PA

The Attempt at a Solution



?

Not supposed to use Integration.
 
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auk411 said:

Homework Statement



A large aquarium of height 5.00m is filled with fresh water to a depth of 2.00m. One wall of the aquarium consists of thick plastic of 8.00m wide. By how much does the total force on that wall increase if the aquarium is next filled to a depth of 4.00m.

D= density

Homework Equations



p = P0 + Dgh

F=PA

The Attempt at a Solution



?

Not supposed to use Integration.
Okay. How about using the average pressure exerted on the wall instead?
 

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