torricelli's law: meaning, definition, pronunciation and examples
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Quick answer
What does “torricelli's law” mean?
A principle in fluid dynamics stating that the speed of a fluid flowing out of an opening under the force of gravity is proportional to the square root of the vertical distance from the opening to the fluid's surface.
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Pronunciation
Definition
Meaning and Definition
A principle in fluid dynamics stating that the speed of a fluid flowing out of an opening under the force of gravity is proportional to the square root of the vertical distance from the opening to the fluid's surface.
A specialized theorem used in physics and engineering, derived from Bernoulli's principle, describing the efflux velocity of an ideal, incompressible fluid from a tank or container.
Dialectal Variation
British vs American Usage
Differences
No significant differences in usage or definition. Spelling remains consistent.
Connotations
None beyond the strict scientific meaning.
Frequency
Equally rare and specialized in both dialects, confined to technical contexts.
Grammar
How to Use “torricelli's law” in a Sentence
Torricelli's law states that...According to Torricelli's law, V = √(2gh).We can apply Torricelli's law to calculate the exit velocity.The derivation of Torricelli's law comes from Bernoulli's equation.Vocabulary
Collocations
Examples
Examples of “torricelli's law” in a Sentence
verb
British English
- The engineer torricellied the flow rate from the header tank. (Note: This is a highly contrived, non-standard usage for illustration only.)
American English
- The lab report suggested we 'Torricelli' the velocity, meaning apply the law. (Note: This is a highly contrived, non-standard usage for illustration only.)
adjective
British English
- We used a Torricellian approach to model the drainage. (Note: Rare, derived adjective.)
American English
- The Torricellian velocity profile was plotted. (Note: Rare, derived adjective.)
Usage
Meaning in Context
Business
Not used.
Academic
Used in physics and engineering lectures, textbooks, and papers.
Everyday
Not used.
Technical
Used in fluid mechanics, hydraulics, and engineering design discussions.
Vocabulary
Synonyms of “torricelli's law”
Strong
Neutral
Weak
Watch out
Common Mistakes When Using “torricelli's law”
- Mispronouncing 'Torricelli' as /tɔːrˈaɪsɛli/.
- Confusing it with Pascal's law or Bernoulli's principle, though related.
- Forgetting that it applies to ideal fluids and ignores viscosity and other real-world factors.
- Incorrectly stating the formula as V = 2gh instead of V = √(2gh).
FAQ
Frequently Asked Questions
Evangelista Torricelli was a 17th-century Italian physicist and mathematician, a student of Galileo, who is also famous for inventing the barometer.
It assumes an ideal, incompressible fluid, no viscosity, steady flow, and that the opening is small compared to the tank's cross-section so the fluid surface velocity is negligible.
Yes, it provides a good first approximation for problems like tank draining, dam outflow, or calculating initial jet velocity, though real-world designs must adjust for friction and other non-ideal effects.
The formula v = √(2gh) is identical to the final velocity of an object dropped from a height h in a vacuum, highlighting the energy conservation principle common to both.
A principle in fluid dynamics stating that the speed of a fluid flowing out of an opening under the force of gravity is proportional to the square root of the vertical distance from the opening to the fluid's surface.
Torricelli's law is usually highly technical/scientific in register.
Torricelli's law: in British English it is pronounced /ˌtɒr.ɪˈtʃɛl.iːz lɔː/, and in American English it is pronounced /ˌtɔːr.ɪˈtʃɛl.iːz lɑː/. Tap the audio buttons above to hear it.
Learning
Memory Aids
Mnemonic
Think of Torricelli (Tori) telling you how fast water 'exits' a tank: Velocity = √(2 * g * h). It's the 'Exit Law' from a container.
Conceptual Metaphor
The law conceptualizes fluid flow as a transformation of potential energy (height) into kinetic energy (speed), analogous to an object falling freely from the same height.
Practice
Quiz
Torricelli's law is most directly derived from which broader principle?