If a Master Cylinder with two square-inch pistons travels 1/2 inch, how far would a wheel cylinder with a one square-inch piston be moved?

The question involves understanding the relationship between the areas of pistons and the distance they move, which is rooted in the principles of hydraulics and Pascal's law.

In this scenario, the master cylinder has two pistons, each with an area of two square inches, and it travels a distance of 1/2 inch. The total volume of fluid moved by the master cylinder can be calculated by multiplying the area of the pistons by the distance they travel. Therefore, the volume of fluid moved by the master cylinder is:

Volume = Area × Distance

Volume = 2 square inches × 1/2 inch = 1 cubic inch.

Now, when this fluid enters the wheel cylinder, it has a one square-inch piston. To find out how far the piston in the wheel cylinder moves, we can use the volume of fluid to determine the distance traveled:

Volume = Area × Distance

1 cubic inch = 1 square inch × Distance.

From this, the distance the one square-inch piston moves can be calculated as:

Distance = Volume / Area

Distance = 1 cubic inch / 1 square inch = 1 inch.

However, the master cylinder's total movement applies to both pistons, thus involving an understanding of how hydraulic