# Derive the archimedes principle ??

Archimedes principle states that when a body is immersed partly or wholly in a fluid, then the liquid exerts an upward force/upthrust/buoyant force on the body which is equal to the weight of the fluid displaced by the body.

Buoyant force-

• The buoyant force is given as

$F_B=\rho Vg$

Where FB=Buoyant force

$\rho$= density of the fluid

V= Volume of the solid body immersed in the liquid or Volume of the fluid displaced

$As \ \rho =\frac{m}{V}$

So we can write $F_B=mg$=weight of the fluid displaced

Where m=mass of the fluid displaced

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