Torricelli's Theorem

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

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

Torricelli's theorem states that the velocity of efflux for a nonviscous fluid flowing from a cylindrical tank is where is the acceleration due to gravity (10 ) and is the distance between the surface of the water and the location of the spigot. However, this does not specify the exact coefficient because it assumes that the velocity of the water at the surface of the tank is negligible and that both the tank and the spigot are exposed to atmospheric pressure. If the velocity of the water at the surface is taken into account, the formula for the velocity of efflux becomes , where it takes into account , the radius of the spigot, and , the radius of the cylindrical tank. This equation can be derived from Bernoulli's equation, , and the continuity equation, .

Contributed by: Ernest Lee (March 2011)
Open content licensed under CC BY-NC-SA


Snapshots


Details

The height of the water, radius of the tank, location of the spigot, and the radius of the spigot can be changed by moving the sliders. The velocity of efflux and the range of the emptying water change as different parameters of the tank are modified. The 3D graphics reflect the dimensions of the cylindrical tank and the path of the water out of the spigot.



Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
Send