Theory

Hydraulic Work Demo

Hydraulics can be employed to magnify a force. The work however connot be magnified.

If we use a hydraulic lever as shown in the picture, we can show this. If we let an external force of a given magnitude: F(i) be exerted on the input side which has an area of A(i), in order to keep the sytem in equilibrium, an external load compensates by exerting a force F(o) over its area A(o) such that the change in pressure, which is equal to the force divided by the area, is a constant value.

We know that if the work is the same and the force is greater, the distance the fluid moves is going to be smaller because the definition of work is is the integral of the force multiplied by the displcement. This can be observed by measuring the fluid level on either side before and after and calculating the displacement. According to theory, the work should be:

W = F(i) * d(i) = F(o) * d(o)