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Physics

Floating submerged fraction

When the object floats, this is the proportion of its volume sitting below the surface.

The Formula

submerged fraction = object weight / buoyant force

When the object floats, this is the proportion of its volume sitting below the surface.

SymbolMeaning
fSubmerged fraction
WWeight
FBuoyant force

What Each Symbol Means

ffraction

Submerged fraction

Proportion of the volume below the waterline.

WN

Weight

Downward force due to gravity.

FN

Buoyant force

Upward force available at full submersion.

See It Worked With Real Numbers

A formula on its own does not tell you which number goes where. The how to calculate buoyancy page applies this equation to a concrete case, shows every intermediate step, and names the mistakes that produce a wrong answer even when the algebra is right.

Where This Formula Appears

This equation is the working core of How To Calculate Buoyancy, filed under Science. Every number the guide produces comes from substituting into this one line.