Max Depth of Submarine Modeling: 80kpa

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To model the maximum depth a submarine can reach under a pressure of 80 kPa, it's essential to understand hydrostatic pressure, which increases with depth. The pressure at a given depth can be calculated using the formula P = ρgh, where ρ is the density of water, g is the acceleration due to gravity, and h is the depth. Since 1 meter of water corresponds to approximately 10 kPa, a maximum pressure of 80 kPa allows for a depth of about 8 meters. Integrals are not necessary for this calculation, as the relationship is straightforward. Understanding these principles will help in formulating the required equation for the project.
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Hello, I'm working on a project, and my teacher gave me something to think about, but I am at a loss. He wants me to come up with an equation to model the maximum height a submarine can go underwater, if it can withstand a maximum pressure of 80kpa. I started thinking it was an integral problem, integ(dP/dz) but I'm not sure. Any help would be much appreciated.
 
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How does hydrostatic pressure depend on depth? (It's simpler than you think.)
 
it would be very cool if you solve that with integrals, but its a lot more than you need, really
 
What they said. No integrals required.

1m head of water = 0.1bar = 10kpa
 
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