Question

Two cylindrical vessels fitted with pistons A and B of area section $8c{m}^{2}and320c{m}^2$ respectively, are joined at their bottom by a tube and they are completely filled with water. When a mass of 4kg is placed on piston A, find the pressure on piston B.

Answer 1

$\text{Given that the force applied to the smaller piston A is 4 kg}$

${\text{Area of cross section of piston A=8cm}}^2$

${\text{Area of cross section of piston B=320cm}}^2$

$\text{Pressure acting on piston A in the downward direction =}\frac{\text{Thrust}}{\text{Area}}$

$=\frac{4kg}{8c{m}^2}$

$\therefore {\text{Pressure A=0.5kg cm}}^{-2}$

$\text{According to pascal's law}$

${\text{Pressure acting on piston B= pressure acting on piston A =0.5kg cm}}^{-2}$