A piston of crosssectional area a is used in a hydraulic pre

A piston of cross-sectional area a is used in a hydraulic press to exert a small force of magnitude f on the enclosed liquid. A connecting pipe leads to a larger piston of cross-sectional area A, as shown in the figure. If the piston diameters are 4.37 cm and 50.3 cm, what force magnitude on the small piston will balance a 21.7 kN force on the large piston?

Solution

Here Given ,pressure on both small pistion and large piston is equal.since

P=F/A

=>F_large/A_large = F_small/A_small

Since Area A=pi*D²/4

=>F_small =F_large*(D_small/D_large)²

F_small =(21.7*10³)(4.37/50.3)²

F_small =163.8 N