Question

the area of piston hydraulic machine A 6 CM square and 576 CM square what force on the smaller Piston will support a load of 1152 Newton on the larger piston?​

Answer 1

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Answer 2

The force on the larger piston is 12 N.

Explanation:

Given that,

Area of the smaller piston, $A_1=6\ cm^2$

Area of the larger piston, $A_2=576\ cm^2$

Force on the larger piston, $F_2=1152\ N$

We need to find the force on the larger piston. It is a case of Pascal's law. According to this law, in an incompressible fluid the pressure at any point are same such that,

$P_1=P_2$

$\dfrac{F_1}{A_1}=\dfrac{F_2}{A_2}$

$F_1=A_1\times \dfrac{F_2}{A_2}$

$F_2=6\times \dfrac{1152}{576}$

$F_2=12\ N$

So, the force on the larger piston is 12 N. Hence, this is the required solution.

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