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.
","abstract_html":"<p>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.</p>","abstract_has_math":false,"creators":["Hampel, Bianca K."],"institution":null,"degree_name":"Mathematics","degree_level":"Thesis","degree_discipline":"Mathematics and Philosophy","degree_department":null,"school":null,"contributors":["Dr. Eugen Ionascu","Dr. Brian Muse","Dr. Cindy Ticknor"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2024,"date_issued":"2024-01-01T08:00:00Z","date_published":"2024-01-01T08:00:00Z","updated_at":"2026-07-24T01:44:41Z","subjects":["Torricelli's Law","Mathematics"],"languages":["english"],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://csuepress.columbusstate.edu/theses_dissertations/554","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Dr. Eugen Ionascu","Dr. Brian Muse","Dr. Cindy Ticknor"]},{"key":"dc:creator","label":"Author","values":["Hampel, Bianca K."]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"thesis:degree_discipline","label":"Discipline","values":["Mathematics and Philosophy"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Thesis"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Mathematics"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Torricelli's Law","Mathematics"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["english"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://csuepress.columbusstate.edu/theses_dissertations/554"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["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.
"]},{"key":"dc:title","label":"Title","values":["Torricelli's Law and the Turn-Up Number"]}]}],"canonical_facts":{"dc:contributor":["Dr. Eugen Ionascu","Dr. Brian Muse","Dr. Cindy Ticknor"],"dc:creator":["Hampel, Bianca K."],"dc:description.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.
"],"dc:identifier":["https://csuepress.columbusstate.edu/theses_dissertations/554"],"dc:language":["english"],"dc:subject":["Torricelli's Law","Mathematics"],"dc:title":["Torricelli's Law and the Turn-Up Number"],"thesis:degree_discipline":["Mathematics and Philosophy"],"thesis:degree_level":["Thesis"],"thesis:degree_name":["Mathematics"]},"updated_at":"2026-07-24T01:44:41Z"}