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Archimedes' Principle

 

Online calculator — enter the values and get the result instantly, with the formula and a worked example.

Photo
Archimedes' principle
Formula & notes

Fv = FG + Fvz

Fv - resulting force,

FG - gravitational force,

Fvz - buoyant force

What is it

A body submerged in a fluid is buoyed up by a force equal to the weight of the fluid displaced by the submerged part of the body.

The body experiences a gravitational force FG acting vertically downward and, when submerged in a fluid, a buoyant force Fvz acting vertically upward. The resultant of these forces is the force Fv = FG + Fvz. Usually, the direction of the gravitational force is chosen as positive and the direction of the buoyant force as negative.

Calculator
N
m/s²

Buoyant force F

Liquid density ρ
Volume of submerged part V
Buoyant force F
Interactive graph

A body submerged in a liquid is pushed upward by the buoyant force F.

body F liquid surface ρ F = ρ · g · V · g ≈ 9.81 m/s²

Worked example
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Practice problems

Solve it step by step — the next step unlocks only after a correct answer. You can type decimals with a dot or a comma.



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