Buoyancy/Archimedes' Principle Calculator

Buoyancy/Archimedes’ Principle Calculator

Calculate buoyant force, center of buoyancy, and hydrostatic pressure for submerged objects. Useful for engineering, physics, and marine applications.

Object Shape:

Radius (m):

Side Length (m):

Radius (m):

Height (m):

Orientation:

Length (m):

Width (m):

Height (m):

Volume (m³):

Submersion Depth (m):

Fluid Density (kg/m³):

Water (1,000) Seawater (1,025) Oil (800) Mercury (13,600)

Object Density (kg/m³):

Aluminum (2,700) Steel (7,850) Wood (1,000) Ice (920)

Buoyancy Results

Volume Displaced: 0 m³

Buoyant Force: 0 N

Object Weight: 0 N

Net Force: 0 N

Center of Buoyancy: 0 m from bottom

Hydrostatic Pressure: 0 Pa

Floatation Status: –

Visualization

Fluid

Submerged Object

How This Calculator Works

This calculator applies Archimedes’ Principle which states that the buoyant force on a submerged object is equal to the weight of the fluid it displaces.

The calculations are based on the following formulas:

Buoyant Force (F_b): F_b = ρ_fluid × V_displaced × g
Object Weight (F_g): F_g = ρ_object × V_object × g
Net Force: F_net = F_b – F_g
Hydrostatic Pressure: P = ρ_fluid × g × h

Where:

ρ = density (kg/m³)
V = volume (m³)
g = acceleration due to gravity (9.81 m/s²)
h = depth below fluid surface (m)