Pressure, P:

$\overline{){\mathbf{P}}{\mathbf{=}}{\mathbf{h}}{\mathbf{\rho}}{\mathbf{g}}}$

$\overline{)\begin{array}{rcl}\frac{\mathbf{F}}{\mathbf{A}}& {\mathbf{=}}& \mathbf{h}\mathbf{\rho}\mathbf{g}\\ {\mathbf{h}}& {\mathbf{=}}& \frac{\mathbf{F}}{\mathbf{A}\mathbf{\rho}\mathbf{g}}\end{array}}$

A research submarine has a 40-cm-diameter window that is 8.1 cm thick. The manufacturer says the window can withstand forces up to 1.2×10^{6} N. What is the submarine's maximum safe depth in saltwater? The pressure inside the submarine is maintained at 1.0 atm.

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Based on our data, we think this problem is relevant for Professor Bornak, Frye, Kaluarachchi & Li's class at UTOLEDO.