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Immersed weight calculator

Calculate what a submerged object would read on a supporting scale, and compare a few documented fluid densities.

Calculator

True mass
10
Object volume
0.001
Apparent scale mass
9
Apparent support force
88.2599
Buoyant force
9.80665
Full-immersion comparison at textbook reference densities
Liquid referenceDensity (kg/m3)Apparent mass (kg)
Gasoline at 0 C680.000000009.32000000
Ethanol at 0 C806.000000009.19400000
Water at 20 C998.200000009.00180000
Water at 4 C1,000.000000009.00000000
Sea water reference at 0 C1,030.000000008.97000000
Mercury at 0 C13,600.00000000-3.60000000

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How this calculator works

Full immersion displaces the outside volume of the object. Subtract the displaced-fluid weight from true weight to obtain the required support force. Dividing by gravity gives the apparent scale mass. A negative result means the object needs downward restraint. The comparison table uses rounded textbook reference states; household oils, syrups and detergents vary with composition, so use their measured density in the main input. Ballast adds both mass and displaced volume.

Formula

m_apparent = m - rho_liquid V; W_apparent = g(m-rho_liquid V). Neutral-ballast volume = max(0,(rho_liquid V-m)/(rho_ballast-rho_liquid)).

Worked example

A 10 kg object displacing 0.001 m3 in 1000 kg/m3 water has apparent mass 9 kg. At g = 10 m/s2 its support force is 90 N and buoyancy is 10 N.

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Frequently asked questions

Is immersed weight a mass?

The support force is in newtons. The apparent mass is the equivalent reading of a mass-calibrated scale.

What if the object is less dense than the liquid?

It rises unless restrained. The signed support force becomes negative.

Can I use rubbing alcohol or honey?

Yes. Enter a measured density for the particular mixture and temperature; their names do not specify one reliable density.

Sources

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