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PHYSICS / FLUID STATICS

Hydrostatic Force Calculator

Calculate resultant gauge-pressure force on a submerged plane surface from centroid depth. See the governing equation, substituted values, result, assumptions, and interpretation in one guided workspace.

  • 01 Calculated in this tab
  • 02 Values stay in this browser tab
  • 03 Use boundary

Conversion input

Known value

Filter by unit name, symbol, or code. Your current selections remain available.

Preparing the calculator...

Use boundary

Calculation path

Calculate resultant gauge-pressure force on a submerged plane surface from centroid depth. The page evaluates the displayed equation from your supplied values and presents both symbolic and substituted KaTeX working so the arithmetic can be checked.

Calculation path

F=rho g h_c A

What you provide

What you provide

  • Fluid density expressed in kg/m^3, using the same scenario as the other inputs
  • Centroid depth expressed in m, using the same scenario as the other inputs
  • Plane surface area expressed in m^2, using the same scenario as the other inputs

What you receive

What you receive

  • Hydrostatic force in N from the stated equation
  • A symbolic formula plus substituted working with your values
  • Visible assumptions, field guidance, and an authoritative learning reference

Use boundary

Choose the maximum decimal places shown. This does not increase source accuracy.

Fluid density is uniform, the free surface is static, and depth is measured to the plane-area centroid.

Use internally consistent units and retain extra precision when carrying the result into another calculation.

Reviewed reference factors

Reviewed reference factors