Water spurts · Estonian PhO 2015 #7

Physics · fluid-mechanics

Problem

\begin{wrapfigure}{r}{0.2\textwidth}% \vspace{-15pt} [image — see PDF]% \end{wrapfigure} Small holes at numerous different heights have been made into the wall of a vertical cylindrical vessel and water is flowing out of them. Additional water is slowly poured into the vessel so that the water level inside the vessel is constantly at a height HH. Find what region of room can the exiting water reach, in other words express the equation for the envelope of the water spurts in xyxy-coordinates. Assume that different water spurts do not affect each other.

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