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Physics

Buoyancy and submerged volume

Compare buoyant force with the weight of a closed body and estimate the submerged fraction when it floats.

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Your inputs

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02

Your result

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Your result will include the relevant values and units.

Understand the calculation

Formula and example

How it is calculated

Buoyant force = ρ × V × g; weight = m × g; floating submerged fraction = m/(ρV)

Worked example

A closed body with a volume of 2 l and a mass of 1 kg displaces 1 l of water at equilibrium: 50% of its volume is submerged.

Things to check

  • The calculated maximum buoyant force assumes full submersion.
  • Open cavities, water entering the body and surface tension change its behaviour.