# Law of Floatation

Introduction for Law of Floatation:

When a solid particle is fairly or totally immersed in fluid, there is a defeat in the weight of particle in floatation. The loss in the weight of body is due to the up thrust acting on it.  Thus a particle flooded in a fluid is below the action of two factors in law of flotation such as,

• W – weight for downward action of a body and
• upward action of the body based in upthrust.

The floating and the shrinking of a body in a liquid depend on the relative magnitudes of some factors in law of floatation.

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## Possible Cases – Law of Floatation:

In law of flotation weight of the body which is immersed in a liquid is given as = W-B.

There are three cases possible for defining law of floatation,

Case 1: W > B which defines the weight of the body is greater then the resulting upthrust:

In this case net weight of particles = W-B which acts in downward. Hence the body exhibits the downward acceleration and it sinks to bottom. Iron piece which immerse in water will considered as example.

Case 2: W = B defines the weight of the body which is equal to the upthrust.

The net weight in this case = W – B will produce the value zero. Hence the body will float below the surface of liquid. When the solid density is equal this condition occurs and it is satisfied.

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Case 3: W>B which defines that the body weight is less than the upthrust.

The net weight that is given here is B-W which provides the upward movement. Whenever the body is released in the liquid it starts the upward movement. At the moment when the body come out of the liquid the volume of liquid displacement starts to decrease. At a time it will occur a stage in which the upthrust of the liquid equals the body weight to make the body float in the liquid. We can satisfy this condition when density of a body becomes less than the density of liquid. In this case wood is considered as the example.

The floating weight always equals the liquid weight of body which is displaced in liquid. Apparent weight is zero for body which is in floating. This is referred as law of floatation.

## Uses of Law of Floatation:

The law of floatation is used in following areas,

• Ship.
• Submarine.
• Life belt.
• Ice-berg.
• Floating of man on water.
• Balloon rising.

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