Buoyancy Calculator

Archimedes' Principle

Calculate buoyant force, determine if objects float or sink, and find the percentage submerged using Archimedes' principle.

Object & Fluid Parameters

Volume of the object

kg

Mass of the object

Archimedes' Principle

F_buoyant = ρ × V × g

where: ρ = fluid density, V = volume, g = 9.81 m/s²

Note

An object floats if its average density is less than the fluid density. The buoyant force equals the weight of displaced fluid.

About Buoyancy

Archimedes' principle states that the buoyant force on an object is equal to the weight of the fluid it displaces.

  • Buoyant force = weight of displaced fluid
  • Objects float if density < fluid density
  • Acts upward through center of buoyancy

Applications

  • Ship and boat design
  • Submarine ballast systems
  • Hot air balloon calculations
  • Diving and scuba equipment
  • Hydrometer measurements