Suppose the master cylinder in a hydraulic system is at a greater height than the slave cylinder. Explain how this will affect the force produced at the slave cylinder.

Fluid statics, often known as hydrostatics, is a branch of fluid mechanics that investigates the state of balance of a floating and submerged body, as well as the pressure in a fluid, or imposed by a fluid, on an immersed body.

A change in pressure imparted to a confined fluid is communicated unequallyto all parts of the fluid as well as the container's walls.

A basic hydraulic system, such as a machine, can increase force but not perform more work than it is capable of.

Work is defined as force multiplied by the distance travelled, and the slave cylinder travels a shorter distance than the master cylinder.

Furthermore, as the number of slaves increases, the distance each moves decreases.

If there are two different body on which the force is applied than the bodies will be exerting pressure in two different ways

Let’s suppose in the above case the force applied on the master cylinder is F and the area of master cylinder is A and pressure exerted is P.

The force applied on the slave is f and the area of slave cylinder is ‘a’ and the pressure created is p.

According to Pascal’s law:

$$\begin{gathered} P=p \\ \frac{F}{A}=\frac{f}{a} \end{gathered}$$

If the cylinders are at the same height and there is no friction in the system, his equation relates the force-to-area ratios in any hydraulic system.

Hydraulic systems have the ability to change the force that is applied to them.

The pressure is delivered to a broader region to increase the force.

The master cylinder is placed higher than the slave cylinder in the hydraulic system. As a result, the master cylinder's pressure is higherthan the slave cylinder's pressure.

When both cylinders are set at the same height, the master cylinder's area is less than the slave cylinder's, hence the force produced on the master cylinder is less than the force produced on the slave cylinder.

Therefore, the master cylinder in a hydraulic system is at a greater height than the slave cylinder.