Respuesta :

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.

                  [tex]\frac{F1}{A1} = \frac{F2}{A1}[/tex]

Process

1.- Solve for A2

                  [tex]A2 = \frac{F2A1}{F1}[/tex]

2.- Substitution

                  [tex]A2 = \frac{450N x 25 cm2}{150 N}[/tex]

3.- Simplification and result

                  [tex]A2 = \frac{11250}{150}[/tex]

                         A2 = 75 cm²

The area of a larger piston if the force available in it is 450 N is 75 cm².

To solve this problem, we need to use the Pascal's principle:

  • It states that the pressure in a point is equal to the pressure in a second point.
  • It says that if pressure is exerted on a non compressible fluid in an enclosed vessel, this pressure will be distributed evenly throughout the fluid.
  • [tex]P=\frac{F}{A}[/tex]

Using this equation, [tex]\frac{F_1}{A_1} =\frac{F_2}{A_2}[/tex]

Given:

F₁= 150N

A₁=25 cm²

F₂= 450N

To find:

A₂=?

Using above equation we can solve for A₂:        

[tex]\frac{F_1}{A_1} =\frac{F_2}{A_2}\\\\\frac{150}{25} =\frac{450}{A_2}\\\\A_2=\frac{450*25}{150}\\\\ A_2=75 cm^2[/tex]

Thus, the area of a larger piston if the force available in it is 450 N is 75 cm².

Learn more:

brainly.com/question/24609744