Hydrostatic Pressure Calculator

Formula

The formula to calculate the hydrostatic pressure (hp) is:

\[ hp = \rho g h + p_0 \]

Where:

\( hp \) is the hydrostatic pressure (Pascals).
\( \rho \) is the density of the fluid (kg/m³).
\( g \) is the acceleration due to gravity (9.8 m/s² on Earth).
\( h \) is the depth (m).
\( p_0 \) is the atmospheric pressure (101325 Pascals).

Example

Let's say the density of the fluid is 1000 kg/m³, the depth is 10 meters. Using the formula:

\[ hp = 1000 \times 9.8 \times 10 + 101325 \]

We get:

\[ hp = 98000 + 101325 = 199325 \]

So, the hydrostatic pressure (\( hp \)) is 199325 Pascals.

What is Hydrostatic Pressure?

Hydrostatic pressure is defined as the total pressure acting on an object that is submerged in a liquid. It is the sum of the pressure exerted by the fluid due to its density and the atmospheric pressure acting on the surface of the fluid.