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  4. In hydraulic press radii of connecting pipes, r1 and r2 are in ratio 1:2 . In order to lift a heavy mass M on larger piston, the small piston must be pressed through a minimum force f equal to - <img class=img-fluid question-image alt=Question src=https://cdn.tardigrade.in/q/nta/p-20oep0fmxbimyvoi.jpg />

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Q. In hydraulic press radii of connecting pipes, $r_{1}$ and $r_{2}$ are in ratio $1:2$ . In order to lift a heavy mass $M$ on larger piston, the small piston must be pressed through a minimum force $f$ equal to -
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NTA AbhyasNTA Abhyas 2022

Solution:

According to Pascal's principle and Hydraulic Lift concepts
$\frac{f_{1}}{f_{2}}=\frac{A_{1}}{A_{2}}=\frac{r_{1}^{2}}{r_{2}^{2}}=\frac{1}{4}$
$f_{1}=\frac{1}{4}Mg$