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How did Pascal demonstrate that fluids exert pressure equally in all directions?
Pascals law
According to pascals law, the external static pressure applied on a confined liquid is distributed or transmitted evenly throughout the liquid in all directions.
Mathematically,
F = PA
where F = Force applied,
P = pressure transmitted
A = Area of the cross-section
The image shown above is a simple diagram of a hydraulic lift. It works based on a principle of equal pressure transmission throughout the liquid. The construction is such that a narrow cylinder as shown at A is connected to a wider cylinder as shown in B. Those cylinders are fitted with airtight pistons. Those cylinders are filled with a liquid that cannot be compressed.
When pressure is applied at cylinder A the same pressure would result in cylinder B, on the use of a liquid that cannot be compressed. There will be no change in the pressure. It is equal in all directions. Because of this, piston B is very effective to lift heavy objects such as cars, machines, etc.