If a Master Cylinder piston applies pressure to a brake piston that has twice as much square area, what will be the Force from the second piston?

In a hydraulic system, the principle of Pascal's Law applies, which states that pressure applied to a confined fluid is transmitted undiminished throughout the fluid. When a piston in the master cylinder applies pressure, that pressure is uniformly transmitted to all connected pistons, such as a brake piston.

In this scenario, if the brake piston has twice the surface area of the master cylinder piston, the force exerted by the brake piston will indeed be twice as much as the force exerted by the master cylinder piston. This is because force is calculated by multiplying pressure by area (Force = Pressure × Area). Since the pressure remains constant throughout the fluid, a larger area results in a larger force.

Thus, if the master cylinder piston generates a certain pressure, the brake piston, having double the area, will produce double the force, effectively doubling the output without increasing the pressure. This relationship illustrates how hydraulic systems can amplify force through the use of varying areas of pistons.