Pascal's Law

Pascal's Law

Introduction : In earlier topic we have studied about pressure inside a liquid. If  liquid is kept in an open container, it is acted upon by an atmospheric pressure and the pressure goes on increasing as we go inside the liquid. But if a liquid is kept in a closed container, there is a transfer of pressure equally according to pascal. in this topic we will understand pascal's law in detail.

Pascal's Law : The pressure applied to any part of the liquid is transmitted undiminished to every portion of the fluid and to every portion of the fluid and to the walls of the container.

Pascal's law

Application of Pascal's Law 

Hydraulic Lift : Hydraulic Lift is used to lift heavy object with very little efforts.

Working : Consider two closed system A and B  fitted with a piston of area A₁ and A₂ as shown in above figure. The container contain an incompressible fluid in it .Let a small force F₁ is applied on smaller system A fitted with piston of area A₁, then the pressure P₁ is given by,

The pressure in system B is given by

According to Pascal's law, the pressure due to system A will be transmitted equally and undiminished to system B. This can be mathematically written as ,

The above equation gives upward force F₂ generated due to system A, as F₂ >F₁, a heavy object can be lifted with very small force.

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Hydraulic Brake : Hydraulic brake is used in vehicle in braking system

This system consist of two types of cylinder, viz. master and slave cylinder. A master cylinder has smaller area as compared to slave cylinder . A brake pedal is connected to master cylinder when the brake pedal is pressed, the piston in the slave piston is also pushed forward with same pressure to main volume of liquid constant in hydraulic pipes. As a result the friction pads which are connected to the rotating disc are pushed against the disc and slow down the wheel and hence vehicle stops.

Hydraulic brake

_{│<<<Hydrostatic Paradox}││ _{Barometer>>>│} 

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 Related Topic :  Mechanical Properties of fluid      Pressure due to liquid column     Absolute and gauge pressure  Hydrostatic Paradox       Pascal's Law        Measurement of pressure         Surface Tension Surface Energy         Angle of contact          Capillary Action             Motion in a fluid                    Critical velocity and Reynold's Number                      Viscosity                 Stokes' Law            Terminal velocity                 Equation of continuity                  Bernoulli Equation          Speed of Efflux Ventury Tube

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