All Problems

Hydrodynamics

Problem 1.323

A cylindrical vessel of height \(h\) and base area \(S\) is filled with water. An orifice of area \(s \ll S\) 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