A small crane has a motor that exerts 2.41 times 10^7 Pa of pressure on a fluid chamber. If the piston has an area of 168 cm2 how much force does the piston exert?

Respuesta :

Answer:

[tex]F = 4.05\times 10^{9}\ N[/tex]

Explanation:

Given:

Exerts pressure

[tex]p = 2.41\times 10^{7}\ Pa[/tex]

Piston has an area

[tex]A = 168\ cm^{2][/tex]

We need to find the force exerted by piston.

Solution:

Formula of pascals law's is given as:

[tex]p=\frac{F}{A}[/tex]

Where:

F = Force applied

P = Pressure exerted

A = Cross sectional area

Substitute force and area in pascal's formula.

[tex]2.4\times 10^{7}=\frac{F}{168}[/tex]

Using cross multiplication.

[tex]F = (2.41\times 10^{7})\times 168[/tex]

[tex]F = 404.88\times 10^{7}[/tex]

[tex]F = 4.05\times 10^{9}\ N[/tex]

Therefore, the force exerted by piston [tex]F = 4.05\times 10^{9}\ N[/tex]