Question

A 100-mm radius cylinder filled with water is fitted with a piston of negligible weight. A force F is applied to the piston. The manometer attached is filled with mercury (SG = 13.57) and is displaced as shown. Determine the force F.

Answer 1

pressure $p= \rho gh=13.57\times\times9.81\times1=1806.46\frac{N}{m^2}$

force$F = p\times A =1806.546\times\frac{\pi}{4}0.1^2 =14.18N$