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Title: | Torricelli’s Law and Conservation of Momentum |
Author: | Alvaro Berlanga, David |
Director/Tutor: | Fernández-Nieves, Alberto Planet Latorre, Ramon |
Keywords: | Teorema de Torricelli Quantitat de moviment Treballs de fi de grau Torricelli's law Momentum Bachelor's theses |
Issue Date: | Jul-2021 |
Abstract: | This TFG discusses Conservation of Momentum in the context of Torricelli’s law. We consider a large tank filled with water with a tiny hole near its base, and compute the horizontal force exerted on the fluid by the container walls in two ways, finding that the results differ by a factor of 2. We obtain that 𝐹𝑥 = 2𝜌𝑔ℎ𝑆2, where 𝑆2 is the cross-sectional area of the hole, after applying conservation of momentum, and 𝐹𝑥 = 𝜌𝑔ℎ𝑆2 using Cauchy’s hypothesis. We analyze the assumptions made in these calculations, and perform experiments to confirm that some of them are not realized, identifying the sources of the discrepancy. Specifically, the assumption that the pressure is hydrostatic everywhere in the tank except at the hole and that the velocity is strictly horizontal are the key reasons for our discrepancy. Finally, we discuss Borda’s Mouthpiece and redefine the selected control volume as a way to reconcile both approaches to obtain the force. |
Note: | Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2021, Tutors: Alberto Fernandez-Nieves, Ramon Planet |
URI: | http://hdl.handle.net/2445/180595 |
Appears in Collections: | Treballs Finals de Grau (TFG) - Física |
Files in This Item:
File | Description | Size | Format | |
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ÁLVARO BERLANGA DAVID_4253613_assignsubmission_file_TFG-Alvaro-Berlanga-David.pdf | 569.34 kB | Adobe PDF | View/Open |
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