Hydrostatic Force on Horizontal Plane Submerged Surface Calculator

Calculate Hydrostatic Force







Formula

The formula to calculate Hydrostatic Force (F) is:

\[ F = \rho \cdot [g] \cdot z_s \cdot A \]

Definition

Hydrostatic forces are the resultant force caused by the pressure loading of a liquid acting on submerged surfaces. Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object. Vertical Depth from Free Surface of Centre of Area is the vertical depth of the center of the area from the surface of the water. Area is the contact area between the plate and fluid.

Example Calculation

Let's assume the following values:

Using the formula:

\[ F = 997.3 \cdot 9.80665 \cdot 1.75 \cdot 49 \approx 838649.75285875 \]

The Hydrostatic Force is approximately 838649.75285875 Newton.

Conversion Chart

Density (Kilogram per Cubic Meter) Vertical Depth (Meter) Area (Square Meter) Hydrostatic Force (Newton)
990 1.75 49 832,511.035124999936670
991 1.75 49 833,351.955362500040792
992 1.75 49 834,192.875599999912083
993 1.75 49 835,033.795837500016205
994 1.75 49 835,874.716074999887496
995 1.75 49 836,715.636312499875203
996 1.75 49 837,556.556549999979325
997 1.75 49 838,397.476787500083447
998 1.75 49 839,238.397024999954738
999 1.75 49 840,079.317262499942444
1000 1.75 49 840,920.237500000046566