What is the net force on a miniature sub hatch at 8.5m depth?

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SUMMARY

The net force on a miniature sub hatch at a depth of 8.5 meters in seawater with a density of 1.03 grams/cc is determined by calculating the pressure difference across the hatch. The pressure at this depth is calculated using the formula: Pressure = P(atmospheric) + density * gravity * height. The correct calculation involves considering the pressure on both sides of the hatch, which has a diameter of 1.5 meters. The final net force must account for the atmospheric pressure inside the sub, which is maintained at 1.0 atm.

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Homework Statement


A miniature sub is lowered to a depth of 8.5 m in sea water of density 1.03 grams/cc. The interior of the research craft is maintained at 1.0 atm. Find the net force that must be withstood by a 1.5 m diameter hatch which leads to the inside.


Homework Equations



Pressure = density * gravity * height
Pressure = P (atmospheric) + density * gravity * height
Mass = density * area* height

The Attempt at a Solution



Pressure = 101300 + 1030 kg/m^3 (9.81m/s^2) * 8.5m
Once I found the pressure, I multipied it by the area (pi r^2)
The answer I got was wrong and I'm wondering what I did wrong. Please help.
 
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You must consider the pressure on BOTH sides of the hatch.
 

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