What Is the Net Force on a Submarine Hatch at 8.5m Depth?

queen2008
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Homework Statement


a miniature sub is lowered to a depth of 8.5 m in sea water of density 1030 kg/m^3. The interior of the sub is maintained at a pressure fo 1.00 atm. Find the net force that must be withstood by a 1.5 diameter hatch which leads to the insisde.


Homework Equations


F= PA P= p + density X gravity X Hight


The Attempt at a Solution



Change in Pressure = 0 so P= 1030 X 9.8 X8.5
 
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Hint, there is also one atmosphere of pressure pushing down on top of the water, and one atmosphere of pressure pushing out from the inside of the sub.
 
To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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