In the hydraulic system, if the pressure is 2000 PSI on a piston area of 2 square inches, what is the force exerted?

In a hydraulic system, the force exerted by a piston can be calculated using the formula:

[ \text{Force} = \text{Pressure} \times \text{Area} ]

In this scenario, the pressure is given as 2000 PSI (pounds per square inch) and the area is 2 square inches. By applying the values to the formula, we find:

[ \text{Force} = 2000 , \text{PSI} \times 2 , \text{square inches} = 4000 , \text{pounds} ]

Thus, the force exerted by the piston is 4000 pounds. This calculation is directly derived from the basic principles of hydraulics, where pressure applied to a confined fluid results in an equal force over a given area. Understanding this relationship is crucial for applications involving hydraulic systems, as it illustrates how force can be amplified based on pressure and the size of the surface area.