Pascal's Law And Its Application

Consider the image given below. The column is filled with water. The ends of each column A and B have been blocked by a piston. If piston A is pressed, what do you think will happen to piston B? Piston B is going to rise up. We have just applied Pascal’s law to our fluid column. So what is Pascal’s law?

Hydraulic Lift

 

What is Pascal’s Law?

According to this principle, the external static pressure applied on a confined liquid is distributed or transmitted evenly throughout the liquid in all directions. The static pressure acts at right angles to any surface in contact with the fluid. Pascal also found that the pressure at a point for a static fluid would be same across all planes passing through that point in that fluid.

Example of Pascal’s Law:

Let us understand the working principle of Pascal’s law with an example.

A pressure of 2000 Pa is transmitted throughout a liquid column due a force being applied on a piston. If the piston has an area of 0.1 m2, what is the force applied?

This can be calculated using Pascal’s Law formula.

F = PA,

Where,

F is the force applied

P is the pressure transmitted

A is the cross sectional area

Here,

P = 2000 Pa = N/m2

A = 0.1 m2

Substituting values, we arrive at F = 200 N

Applications of Pascal’s Law

  • Hydraulic Lift: The image you saw at the beginning of this article is a simple line diagram of a hydraulic lift. This is the principle of working of hydraulic lift. It works based on the principle of equal pressure transmission throughout a fluid (Pascal’s Law).
  • The construction is such that a narrow cylinder (in this case A) is connected to a wider cylinder (in this case B). They are fitted with airtight pistons on either end. The inside of the cylinders are filled with an incompressible fluid.
  • Pressure applied at piston A is transmitted equally to piston B without diminishing, on use of an incompressible fluid. Piston B effectively serves as a platform to lift heavy objects like big machines or vehicles. Few more applications include a hydraulic jack and hydraulic press and forced amplification is used in the braking system of most cars.

Learn more about Pascal’s Law and its varied applications with expert faculty at BYJU’S.


Practise This Question

The value of g at a place decreases by 2%. The barometric height of mercury