Buoyancy Force Calculator

Calculate the buoyant force on a submerged object using Archimedes' principle.

kg/m^3
m^3

Buoyant Force

490.5 N

Equivalent Mass Supported50.00 kg

Buoyant Force vs Fluid Density (rho)

Formel

## Archimedes' Principle Any body submerged in a fluid experiences an upward buoyant force equal to the weight of the displaced fluid. ### Formula **F_b = rho_fluid x g x V_displaced** where rho_fluid is the fluid density, g = 9.81 m/s^2, and V_displaced is the volume of fluid pushed aside by the object. An object floats when the buoyant force equals its weight.

Lösungsbeispiel

A 0.05 m^3 object fully submerged in water (1000 kg/m^3).

  1. 01F_b = 1000 x 9.81 x 0.05 = 490.5 N
  2. 02Equivalent mass = 1000 x 0.05 = 50 kg
  3. 03If the object weighs less than 490.5 N, it will float.

Häufig Gestellte Fragen

How do I find the submerged volume?

For a fully submerged object, use its total volume. For a floating object, the submerged volume is the portion below the waterline, which can be calculated from the weight: V_submerged = m_object / rho_fluid.

Does shape affect buoyancy?

No. Buoyancy depends only on the displaced volume and fluid density, not on the shape of the object. A sphere and a cube of the same volume experience the same buoyant force.

What is the density of seawater?

Seawater has a density of approximately 1025 kg/m^3, about 2.5% denser than fresh water. This means objects are slightly more buoyant in seawater.

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