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Question

# Determine the pressure exerted on the surface of a submarine cruising 175 ft below the free surface of the sea. Assume that the barometric pressure is 14.7 psia and the specific gravity of seawater is 1.03.

Solution

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Pressure exerted on the surface of the submarine is the $\textbf{absolute pressure}$ $p$. We calculate it with the following formula:

$\begin{equation} p=p_{atm}+p_h\\ \end{equation}$

where $p_{atm}$ is the $\textbf{atmospheric pressure}$ and $p_h$ is the $\textbf{hydrostatic pressure}$ calculated using the following formula:

$\begin{equation} p_h=\rho \cdot g \cdot h\\ \end{equation}$

$\rho$ is the density of the liquid, $g$ gravity acceleration and $h$ is the depth of the fluid.

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