Question

A pump is designed as a horizontal cylinder with a piston of area A and an outlet orifice of area arranged near the cylinder axis. Find the velocity of out flow of the liquid from the pump if the piston moves with a constant velocity under the action of a constant force $F$. The density of the liquid is $\rho$.

Answer 1

$P_1+\frac{1}{2}\rho v_1^2=P_2+\frac{1}{2}\rho v_2^2$
$(P_0+\frac{F}{A})+0=P_0+\frac{1}{2}\rho v^2$
$\therefore$ $v=\sqrt{\frac{2F}{\rho A}}$