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Pressure Head

Pressure head is defined as the vertical height or the free surface above any point in a liquid at rest.

h = P/ γ = P/ρg

Hydrostatic Paradox:

•    Three containers are filled with same liquid upto the same height ‘h’ and have the same area ‘A’ at the bottom.

•    From Hydrostatic equation P = γh

The pressure density depends only upon the height of column and not at all upon the size of column.

•    Accordingly in the containers of different shapes and size, the same unit pressure would exerted against the bottom of the containers. Since each container has same area A at the bottom pressure force F=p. A on the base of each container would be same.

•    This independent of the fact that the weight of water in each container is different.

•    This situation is referred to as Hydrostatic Paradox.

•    The total pressure force at the bottom container is greater than the weight of total volume water contained in containers. This is called as Hydrostatic Paradox.

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