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10 Questions around this concept.
A cylindrical jar has a radius of r. To what height h should it be filled with a liquid so that the force exerted by the liquid on the sides of the jar equals the force exerted on the bottom?
A smooth cylindrical gate is pivoted at its axis, with one side liquid and on other side atmosphere, then
Two communicating vessels contain mercury. The diameter of one vessel is n times larger than the diameter of the other. A column of water of height h is poured into the left vessel. The mercury level will rise in the right-hand vessel (s= relative density of mercury and = density of water) by
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A liquid of density is filled in a conical vessel as shown in fig. Force exerted by liquid on side wall is
Pascal's law states that if gravity effect is neglected then the pressure at a point in a fluid at rest is the same in all directions.
This law helps us to understand the isotropic nature of pressure.
Pascal's law can be also stated as
The increase in pressure at one point of the enclosed liquid in the equilibrium of rest is transmitted equally to all other points of the liquid and also to the walls of the container, provided the effect of gravity is neglected.
The applications of this law can be seen in Hydraulic lift, hydraulic press, and hydraulic brakes, etc
Working of hydraulic lift-
A hydraulic lift is used to lift the heavy loads.
For the above figure
If a small force f is applied on the piston of C then the pressure exerted on the liquid
Where
a = Area of a cross-section of the piston in C
This pressure is transmitted equally to piston of cylinder D.
So
Where F=Upward force acting on the piston of cylinder D.
A=Area of a cross-section of the piston in D
Condition of Hydraulic Lift-
So heavy load placed on the larger Piston is easily lifted upward.
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