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Buoyancy calculator

Buoyant force equals the weight of displaced fluid. Enter the submerged volume, which may be less than the full volume of the object.

Calculator

Rounded textbook references. Custom density is used only for Custom; the reference is ignored when solving for density. Use measured data for other conditions.

Buoyant force
98.0665
Displaced volume
0.01
Fluid density
1,000
Gravitational acceleration
9.80665
Displaced fluid mass
10
Approximate reference densities from OpenStax
FluidDensity (kg/m3)
Water near 4 C1,000.00
Ethanol, reference value806.00
Mercury, reference value13,600.00

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How this calculator works

Pressure increases downward in a stationary fluid, so the underside of a submerged body experiences a greater upward force than the downward force on its top. The net force equals displaced fluid weight. Use the actual fluid density, not the object density. A floating body adjusts its immersion until buoyancy balances its weight. The reference density table gives rounded textbook values, not a temperature correction model.

Formula

B = rho g V; displaced fluid mass = rho V = B/g. Standard gravity is 9.80665 m/s2. Gas buoyancy follows the same law if density is adequately uniform.

Worked example

Displacing 0.01 m3 of water at 1000 kg/m3 displaces 10 kg and produces 98.0665 N at standard gravity. Displacing 0.02 m3 produces 196.133 N.

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Frequently asked questions

Does an object that sinks experience buoyancy?

Yes. It still displaces fluid, but its weight exceeds the buoyant force if it sinks without support.

Which volume do I enter for a floating object?

Enter only the volume below the fluid surface, including any watertight enclosed space that displaces fluid.

Can I use this for a balloon?

Yes, using the surrounding air density and the external displaced volume. Subtract the balloon and contained-gas weights to find net lift.

Sources

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