Hydrostatic Force Calculator

Formula

The formula to calculate the Hydrostatic Force is:

\[ H_f = (\rho \cdot g \cdot h - p_0) \cdot A \]

Where:

\( H_f \) is the Hydrostatic Force (N, newtons)
\( \rho \) is the Density of the Fluid (kg/m³)
\( g \) is the Acceleration due to Gravity (m/s²)
\( h \) is the Depth (m)
\( p_0 \) is the Atmospheric Pressure (Pa)
\( A \) is the Total Area (m²)

What is Hydrostatic Force?

A hydrostatic force, also commonly referred to as the buoyant force, is a measure of the force acting on an object that is submerged underwater that arises from the differences in pressure between the water and the atmosphere above it.

Example Calculation

Let's assume the following values:

Density of the Fluid (ρ): 1000 kg/m³
Acceleration due to Gravity (g): 9.81 m/s²
Depth (h): 10 m
Atmospheric Pressure (p₀): 101325 Pa
Total Area (A): 2 m²

Using the formula to calculate the hydrostatic force:

\[ H_f = (1000 \cdot 9.81 \cdot 10 - 101325) \cdot 2 = 186475 N \]

The hydrostatic force is 186475 N.