What is the principle of hydraulic machine? Derive an expression for the same.
Answers
Answer:
Pascal's law
The hydraulic system works on the principle of Pascal's law which says that the pressure in an enclosed fluid is uniform in all the directions.
Answer:
Pascal's law is the principle of a hydraulic machine.
Explanation:
Pascal's law states that the pressure experienced by fluid inside a closed container will be the same at every point. A hydraulic machine makes use of this law for its working.
A hydraulic machine will consist of a fluid system in a closed container. The area of the container will be different at two different ends. The end where we apply the force will have a low surface area. So we only need to apply a small force at this end. But on the other end, the surface area will be greater and the force experienced will also be greater to make the pressure of the fluid inside the container a constant.
Pressure, P = F / A
Where 'F' is the force and 'A' is the area.
Pressure at end 1, P₁ = F₁ /A₁
Pressure at end 2, P₂ = F₂ / A₂
According to pascal's law,
P₁ = P₂
F₁ /A₁ = F₂ / A₂
The forcer experienced at the end 2 of the hydraulic machine will be
F₂ = (F₁ /A₁) × A₂