What Is the Maximum Safe Depth for the Submarine with a 40cm Window?

[KINkid92]

Homework Statement

A research submarine has a 40.0cm -diameter window 8.70cm thick. The manufacturer says the window can withstand forces up to 1.20×10^6N . What is the submarine's maximum safe depth?

Homework Equations

P= atmosheric pressure + ρg(depth)
Pressure = Force/crossectional area

The Attempt at a Solution

1.2*10^6N/∏(.4/2)^2= Safe pressure
9.55*10^6N/m^2=Psafe

Psafe= 1atm+ρgd=101300N+1025kg/m^3*9.8m^2
9.55*10^6kg/m^3/m^2=101300kg*m/s^2+ 1025kg/m^3*9.8m^2


I really just don't even know how to proceed figuring out this moshpit of units or even if I'm doing this right in the first place?

 

[voko]

What's the pressure inside the submarine and what is the difference with the total water pressure?

 

[KINkid92]

Inside the sub is 1 atm. And what do you mean? Difference between which values?

 

[voko]

If the pressure inside is equal to the pressure outside - will there be any force on the window?