# Time to Drain a Tank Using Torricelli's Law

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram CDF Player or other Wolfram Language products.

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

Liquid flows out of a tank at a rate given by Toricelli's law, , where * *is the volume and the height of the water in the tank (both functions of time), is the radius of the tank, * *is the radius of the hole in the bottom of the tank, = 9.81 , the acceleration due to gravity, and is the time. The volume is given by and the solution of the differential equation gives . Thus the length of time required to drain the tank, so that , is given by seconds.

Contributed by: Ed O'Grady (November 2010)

Based on a program by: Ernest Lee

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

In the graphic, the radius of the spigot is increased tenfold.

## Permanent Citation