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Buoyancy Calculator — Archimedes Force, Apparent Weight & Float Check

Calculate buoyant force from displaced volume and fluid density, compare it with object weight and report net vertical force and a simple float/sink check.

Last updated: September 17, 2026

Results

Enter non-negative volume/mass and positive fluid density

Formula, example and assumptions

Fb=ρfluid·g·Vdisplaced; W=m·g; Fnet=Fb−W.

Displacing 0.01 m³ of fresh water produces about 98.1 N of buoyant force using g=9.80665 m/s².

  • The simple force balance assumes the entered displaced volume is physically achievable.
  • Hydrodynamic lift, surface tension, waves and compressibility are excluded.

Frequently asked questions

Why does displaced volume matter?

Archimedes’ principle ties buoyant force to the weight of fluid displaced, so submerged/displaced volume directly controls the upward force.

When will an object float?

A freely floating object settles when buoyant force balances its weight; this calculator reports the force comparison for the entered displacement.

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