Torricelli's Law

Physical Law

The speed $v$ of outflow of a fluid through a hole at the bottom of an open tank filled to a depth $h$ equals the speed $v$ that a body would acquire in falling freely from a height $h$.

Proof

This theorem requires a proof. In particular: Special case of Bernoulli's Principle. You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by crafting such a proof. To discuss this page in more detail, feel free to use the talk page. When this work has been completed, you may remove this instance of {{ProofWanted}} from the code. If you would welcome a second opinion as to whether your work is correct, add a call to {{Proofread}} the page.

Source of Name

This entry was named for Evangelista Torricelli.

Sources

• 1972: George F. Simmons: Differential Equations ... (previous) ... (next): $1$: The Nature of Differential Equations: Miscellaneous Problems for Chapter $1$: $7$
• 1992: George F. Simmons: Calculus Gems ... (previous) ... (next): Chapter $\text {A}.15$: Torricelli ($\text {1608}$ – $\text {1647}$)