"Torricelli's Law and the Turn-Up Number" by Bianca K. Hampel

Date of Award

2024

Type

Thesis

Major

Mathematics

Degree Type

Bachelor of Science

Department

Mathematics and Philosophy

First Advisor

Dr. Eugen Ionascu

Second Advisor

Dr. Brian Muse

Third Advisor

Dr. Cindy Ticknor

Abstract

We investigate Torricelli's differential law for solids of revolution. Computing the ratio of times of drainage under the same circumstances (same existing requirements) but rotating the solids 180 degrees allows us to define a "Torricelli turn-up number" associated with the solid. For various solids, we calculate this turn-up number and construct solids that are not symmetric under the 180-degree rotation but with a turn-up number of 1. That allows us to construct nonsymmetric clepsydra.

Available for download on Wednesday, December 31, 2025

Included in

Mathematics Commons

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