How Does Doubling Water Depth Affect Aquarium Wall Pressure?

AI Thread Summary
Doubling the water depth in an aquarium significantly increases the pressure exerted on the walls due to the hydrostatic pressure formula, p = P0 + Dgh. For a wall measuring 8.00m wide, the total force can be calculated using F = PA, where A is the area affected by the pressure. The average pressure method is suggested as a simpler approach to determine the increase in force without using integration. The discussion emphasizes the importance of understanding how water depth directly correlates with wall pressure in aquariums. This knowledge is crucial for ensuring structural integrity in aquarium design.
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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