Question
Explain the principle of multiplication of thrust.
✓
Answer
Principle of multiplication of thrust by transmission of fluid pressure : The normal force exerted by a fluid on any surface in contact with it is called the thrust. Consider two hydraulically connected cylinders, one of cross section a and the other A, as in figure. If a force $\mathrm{F}_{\mathrm{a}}$ is exerted on the smaller piston, pressure $\mathrm{p}=\frac{F_{\mathrm{a}}}{a}$ is produced and transmitted undiminished throughout the liquid. Then, the thrust $F_A$ on the larger piston is $\mathrm{F}_{\mathrm{A}}=\mathrm{pA}=\frac{A}{a} \mathrm{~F}_{\mathrm{a}}$
If $A=n a, F_A=n F_a$, i.e., the thrust on the larger piston is multiplied $n$ times. This is known as the principle of multiplication of thrust by transmission of fluid pressure.
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