All Problems

Hydrodynamics

Problem 1.323

A cylindrical vessel of height hh and base area SS is filled with water. An orifice of area sSs \ll S is opened in the bottom of the vessel. Neglecting the viscosity of water, determine how soon all the water will pour out of the vessel.

Reveal Answer
τ=2h/gS/s\tau=\sqrt{2 h / g} S / s