In a hydraulic system with a displacement of 70 cubic inches, what happens to the pressure if the volume remains constant but the area of the cylinder increases?

In a hydraulic system, pressure is defined as the force exerted per unit area. The fundamental relationship in hydraulics can be described by Pascal's law, which states that when pressure is applied to a confined fluid at rest, it is transmitted undiminished throughout the fluid.

In this scenario, if the volume of fluid remains constant but the area of the cylinder increases, the pressure will adjust accordingly. Since pressure is inversely related to area when volume is held constant, an increase in the area leads to a decrease in pressure. This can be understood through the equation for pressure (P = F/A), where F is the force applied and A is the area. If the area increases but the force remains unchanged, the pressure must drop because the same force is now distributed over a larger area.

Therefore, as the area of the cylinder increases while keeping the volume constant, the pressure within the hydraulic system decreases. This aligns with the concept that a larger area requires a lower pressure to maintain the same volume of fluid under the conditions described.