Question

A force of 150 N is applied to a 25 cm2 piston in a hydraulic machine. What is the area of a larger piston if the force available in it is 450 N?

Answer 1

Answer:

The answer to your question is 75 cm²

Explanation:

To solve this problem, we need to use the Pascal's principle that states that the pressure in a point is equal to the pressure in a second point.

                  $\frac{F1}{A1} = \frac{F2}{A1}$

Process

1.- Solve for A2

                  $A2 = \frac{F2A1}{F1}$

2.- Substitution

                  $A2 = \frac{450N x 25 cm2}{150 N}$

3.- Simplification and result

                  $A2 = \frac{11250}{150}$

                         A2 = 75 cm²