Floatation
Buoyant Force: When a body is
immersed partly or wholly in a liquid, a force acts on the body by t he liquid
in upward direction. This force is call Buoyant force or force of buoyancy or
up thrust. It is equal to the weight of the liquid displaced by the body and
acts at the center of gravity of displaced liquid. Its study was first made by
Archimedes.
Archimedes Principle: When a body
immersed in a liquid partly or wholly in a liquid, there is an apparent loss in
the weight of the body which equal to weight of the liquid displaced by the
body.
Law of Floatation
A body
floats in liquid if
(i)
Density of material of body is less than or equal to
the density of liquid.
(ii)
If density of material of body is equal to density of
liquid, the body floats fully submerged in liquid in neutral equilibrium.
(iii)
When body floats in neutral equilibrium the weight of
the body is equal to the weight of displaced liquid.
(iv)
The central of gravity of body and central of gravity
of displaced liquid should be in same vertical line.
Center of Buoyancy: The center
of gravity of the liquid displaced by a body is called center of buoyancy.
Meta Center: When a floating body is slightly tilted from equilibrium position,
the center of buoyancy shifts. The point where the vertical line passing
through the new position of center of buoyancy meets with the initial line is
called Meta center.
Condition for stable
equilibrium for a Floating body:
(i)
The meta center must be always greater than the center
of gravity of the body.
(ii)
The line joining center of gravity of the body and
center of flotation should be vertical
Density: Density is defined as the mass per unit volume.
Density =
Mass/Volume, its SI unit is kg/m3
Relative
density = density of material / density of water at 4o C
Since, relative density is a ratio
so it is unit less.
►Relative density is measured by
Hydrometer.
►The density of sea water is more
than that of normal water. This explains why it is easier to swim in sea water.
► When ice floats in water its
1/10 the part remains outside the water.
►If ice floating in water in a
vessel melts; the level of water in water does not change.
►Purity of milk is measured by
lactometer.
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