Torricelli's Law for Tank Draining

water height y (m)

18

empirical constant c

0.6

drain radius r (m)

6

release system

A liquid flows out of the bottom of a funnel. By Torricelli's law, the velocity of the liquid at the outlet is

2gy

, where

g

is the acceleration due to gravity and

y

is the depth of the liquid. The flow is then

dV

dt

=

2gy

π

2

r

, where

V

is the volume and

r

is the radius of the drain.