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Archimedes' Principle Calculator

Compute buoyant force F_b = ρ·V·g on a submerged object.

Input Data

Fluid Density Kg Per M3
kg/m³
Volume M3
m³
Gravity Ms2
m/s²

Results

F_b = ρ·V·g.
9.81N

At a glance:Buoyant force = weight of displaced fluid = ρ·V·g. Complements buoyancy and buoyancy-force.

Formula

F_b = ρ·V·g.

$$F_b = \rho_{\text{fluid}} \cdot V \cdot g, \quad \rho_{\text{obj}} < \rho_{\text{fluid}} \Rightarrow \text{float}$$

How to Use

  1. Enter fluid density, displaced volume and g.
  2. The tool returns the buoyant force.

Case Studies

ρ=1000, V=0.001, g=9.8

F_b = 9.8 N.

FAQ

Floats or sinks?

If F_b ≥ weight, it floats; otherwise it sinks.

Related Tools

References

Content review: Calculatorism Science Team. Results are for reference only; please refer to the relevant authorities for the official figures.

Found a problem with the results?

If this calculator's result is wrong, or you have any question about the calculation logic, please let us know. You are viewing:Archimedes' Principle Calculator(/physics/archimedes-principle)。