Torricelli's theorem

Torricelli's theorem

also called  Torricelli's law,  Torricelli's principle , or  Torricelli's equation 

      statement that the speed, v, of a liquid flowing under the force of gravity out of an opening in a tank is proportional jointly to the square root of the vertical distance, h, between the liquid surface and the centre of the opening and to the square root of twice the acceleration caused by gravity, 2g, or simply v = (2gh)1/2. (The value of the acceleration caused by gravity at the Earth's surface is about 32.2 feet per second per second, or 9.8 metres per second per second.) The theorem is named after Evangelista Torricelli (Torricelli, Evangelista), who discovered it in 1643.

      The speed of a portion of water flowing through an opening in a tank a given distance, h, below the water surface is the same as the speed that would be attained by a drop of water falling freely under the force of gravity alone (that is, neglecting effects of air) through the same distance, h. The speed of efflux is independent of the direction of flow; at the point of the opening the speed is given by this equation, whether the opening is directed upward, downward, or horizontally.

* * *


Universalium. 2010.

Игры ⚽ Нужен реферат?

Look at other dictionaries:

  • torricelli's theorem — noun see torricelli s law …   Useful english dictionary

  • Torricelli's equation — is an equation created by Evangelista Torricelli to find the final velocity of an object moving with a constant acceleration without having a known time interval.The equation itself is:: v f^2 = v i^2 + 2 a Delta d , Derivation Begin with the… …   Wikipedia

  • torricelli's law — noun also torricelli s theorem lēz Usage: usually capitalized Torricelli s Etymology: after Evangelista Torricelli died 1647 : a law in hydrodynamics: the speed of efflux of a liquid from an orifice is equal to that of a body falling freely… …   Useful english dictionary

  • Evangelista Torricelli — Infobox Scientist name = PAGENAME box width = image size =220px caption =Evangelista Torricelli portrayed on the frontpage of Lezioni d Evangelista Torricelli birth date = October 15, 1608 birth place = Faenza death date = October 25, 1647 death… …   Wikipedia

  • Formule de Torricelli — Schéma de principe : un fluide s écoule par une ouverture située à la distance h du niveau de fluide. Le Principe de Torricelli est un principe de mécanique des fluides découvert par Evangelista Torricelli en 1643[1]. Il établ …   Wikipédia en Français

  • Fundamental theorem of calculus — The fundamental theorem of calculus specifies the relationship between the two central operations of calculus, differentiation and integration.The first part of the theorem, sometimes called the first fundamental theorem of calculus, shows that… …   Wikipedia

  • Torricellis Theorem — Grafische Darstellung von Torricellis Theorem Ausflussgeschwindigkeit nennt man die Geschwindigkeit, mit welcher ein flüssiger oder gasförmiger Körper von sehr niedriger Viskosität (zum Beispiel Wasser) aus einer Öffnung des ihn enthaltenden… …   Deutsch Wikipedia

  • Tor|ri|cel|li's theorem — Tor|ri|cel|li s law or Tor|ri|cel|li s theorem «TR uh SEHL eez, CHEHL », a principle in hydrodynamics which states that the velocity with which a liquid flows through an opening in a container equals the velocity of a body falling from the… …   Useful english dictionary

  • fluid mechanics — an applied science dealing with the basic principles of gaseous and liquid matter. Cf. fluid dynamics. [1940 45] * * * Study of the effects of forces and energy on liquids and gases. One branch of the field, hydrostatics, deals with fluids at… …   Universalium

  • Torricellisches Ausflussgesetz — Grafische Darstellung von Torricellis Theorem Ausflussgeschwindigkeit nennt man die Geschwindigkeit, mit welcher ein flüssiger oder gasförmiger Körper von sehr niedriger Viskosität (zum Beispiel Wasser) aus einer Öffnung des ihn enthaltenden… …   Deutsch Wikipedia

Share the article and excerpts

Direct link
… Do a right-click on the link above
and select “Copy Link”