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baddin
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1. A research submarine has a 20cm diameter window, 8cm thick. The manufacturer says the window can withstand forces up to 10^6N. What is the submarine's maximum safe depth? The pressure inside the submarine is maintained at 1atm.
2. Homework Equations P = P(atmosphere) + ρ*g*h
3. I tried finding the pressure on the window, using P = F/A and got the maximum pressure the submarine window can handle as P = 10^6/(pi*(0.1)^2) = 3.18*10^7 Pa.
I then used P = P(atmosphere) + ρ*g*h
and substitued, P as 3.18*10^7, P(atmosphere) as 101,300, ρ(used density of seawater) as 1030, g as 9.8 and found h to be approximately 3140m.
The solutions found h to be 3153m.
I don't know where I have gone wrong...
2. Homework Equations P = P(atmosphere) + ρ*g*h
3. I tried finding the pressure on the window, using P = F/A and got the maximum pressure the submarine window can handle as P = 10^6/(pi*(0.1)^2) = 3.18*10^7 Pa.
I then used P = P(atmosphere) + ρ*g*h
and substitued, P as 3.18*10^7, P(atmosphere) as 101,300, ρ(used density of seawater) as 1030, g as 9.8 and found h to be approximately 3140m.
The solutions found h to be 3153m.
I don't know where I have gone wrong...