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Buoyancy

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Upthrust on body = weight of fluid displaced by the body

This is known as Archimedes principle.

If the body is immersed so that part of its volume V1 is
immersed in a fluid of density r_{1}
and the rest of its volume V2 in another immiscible fluid of mass density
r_{2},

Upthrust on upper part, R1 = r_{1}gV1

acting through G1, the centroid of V1,

Upthrust on lower part,R2 = r_{2}gV2

acting through G2, the centroid of V2,

Total upthrust = r_{1}gV1 + r_{2}gV2.

The positions of G1 and G2 are not necessarily on the same vertical line, and the centre of buoyancy of the whole body is, therefore, not bound
to pass through the centroid of the whole body.

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Last Modified on: 14-Sep-2014

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