Physics

Physics

Problem

Describe qualitatively how and why the speed of water exiting a small hole in the wall of a tall open tank changes as the water level above the hole slowly decreases during drainage. Limit your response to two sentences.
Intuitive explanation

As the water level drops, the pressure at the hole decreases because pressure depends on the depth of water above it (P=ρghP = \rho g h). By Torricelli's law, exit speed is proportional to h\sqrt{h}, so the water flows out more slowly as the tank empties.

Intuitive explanation

As the water level drops, the pressure at the hole decreases because pressure depends on the depth of water above it (P=ρghP = \rho g h). By Torricelli's law, exit speed is proportional to h\sqrt{h}, so the water flows out more slowly as the tank empties.

Browse the problem library