What principle in a hydraulic system allows for the multiplication of force?

In a hydraulic system, the multiplication of force is based on Pascal's Principle, which states that when pressure is applied to a confined fluid, it is transmitted undiminished throughout the fluid in all directions. This principle allows a small force applied to a small-area piston to create a much larger force at a larger-area piston within the same hydraulic system. The key concept is that since pressure is equal to force divided by area, when the area of the output piston is larger than that of the input piston, the output force can be significantly greater than the input force, despite the same pressure being maintained throughout the system.

Other principles mentioned do not pertain directly to the multiplication of force in hydraulic systems. Bernoulli's Principle relates to fluid dynamics and describes the behavior of fluid flow but does not deal with force multiplication. Newton's Third Law focuses on action and reaction forces, which are important in understanding motion but do not explain how force is amplified in hydraulic systems. Archimedes' Principle deals with buoyancy in fluids rather than force multiplication. Therefore, Pascal's Principle is the fundamental concept that correctly describes how force is magnified in hydraulic systems.