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