First slide

Fluid statics

Question

A small cylinder of 2 cm diameter is connected to a large cylinder of 20 cm diameter and each cylinder is fitted with suitable pistons. An incompressible fluid is filled in the cylinders. A force of 60 N is applied to the piston of the small cylinder, then the force exerted on the piston of the large cylinder will be

Moderate

A

12000N
B

6000N
C

1200N
D

600N

Solution

According to Pascal's law, pressure of a fluid is transmitted equal in all directions. Hence
$\frac{F_{1}}{A_{1}} = \frac{F_{2}}{A_{2}} or F_{2} = (\frac{F_{1}}{A_{1}}) \times A_{2} ∴ F_{2} = \frac{60}{π \times (0 \cdot 02)^{2}} \times π \times (0 \cdot 2)^{2} = 6000 N$

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