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Compute buoyant force, fluid density, or displaced volume from any two, with optional float/sink analysis
Details
Archimedes' principle: the upward buoyant force on a body in a fluid equals the weight of the fluid it displaces.
Equations (given any two of F, ρ, V — the third follows):
With object density ρ₀:
g defaults to 9.80665 m/s².
Execution
Fill in the form, run the tool, and review the result in one place.
Ready for a run
Samples
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Tool usage guide
The Buoyancy Calculator computes buoyant force, fluid density, or displaced volume using Archimedes' principle. It also provides optional float/sink analysis and apparent weight calculations when you input the object's density.
Background
A student needs to verify a homework problem involving a 1 m³ block fully submerged in fresh water.
Problem
Find the total upward buoyant force acting on the block.
How to use
Set 'Solve For' to Buoyant Force, enter 1000 for Fluid Density, 1 for Volume, and leave gravity at the default 9.80665.
Outcome
The tool calculates a buoyant force of approximately 9806.65 N.
Background
A hobbyist wants to know if a pine log of density 600 kg/m³ will float in seawater.
Problem
Determine if the log floats and what fraction of it is submerged.
How to use
Set 'Solve For' to Buoyant Force, enter 1025 for seawater density, 1 for volume, and 600 for the object density.
Outcome
The tool confirms the log floats, showing that approximately 58.5% of its volume is submerged.
It states that the upward buoyant force on an object in a fluid equals the weight of the fluid it displaces.
It is calculated by subtracting the upward buoyant force (F) from the object's actual weight (W = ρ₀ · V · g).
Use standard SI units: Newtons (N) for force, kg/m³ for density, and m³ for volume.
Yes, you can adjust the gravity (g) field to match the gravitational acceleration of other celestial bodies.
It compares the object density (ρ₀) to the fluid density (ρ). If ρ₀ is less than ρ, the object floats.