All Problems

Hydrodynamics

Problem 1.329

A side wall of a wide open tank is provided with a narrowing tube (Fig. 1.88) through which water flows out. The cross-sectional area of the tube decreases from S=3.0 cm2S=3.0 \mathrm{~cm}^{2} to s=1.0 cm2s=1.0 \mathrm{~cm}^{2}. The water level in the tank is h=4.6 mh=4.6 \mathrm{~m} higher than that in the tube. Neglecting the viscosity of the water, find the horizontal component of the force tending to pull the tube out of the tank.

Reveal Answer
F=ρgh(Ss)2/S=6 NF=\rho g h(S-s)^{2} / S=6 \mathrm{~N}