Overview
Archimedes’ principle states that a body submerged in a fluid experience an upward buoyant force equal to the weight of the displaced fluid. Mathematically:

 

Where:

• F_b is the buoyant force (B),

• ρ_f is the fluid density,

• V is the displaced volume,

• g is gravitational acceleration.

Significance
This principle is fundamental in fluid mechanics and is applied in ship design, submarines, and hydrodynamics.