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2015-Goodnow-EtAl-Mathematical Models of Water Clocks

Author(s): Jennifer Goodnow1, Richard Orr1, David Ross1

Rochester Institute of Technology, Rochester NY USA

Keywords: Torricelli's Law water clock Bernoulli's Law clepsydra

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Abstract

Resource Image This is a historical tour of water clocks, known as clepsydra a Greek word meaning water thief. These devices were for telling time.

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Description

Goodnow, Jennifer, Richard Orr, and David Ross. 2015. Mathematical Models of Water Clocks.  18 pp.  Mathematics, Rochester Institute of Technology, Rochester NY USA.

http://www.nawcc-index.net/Articles/Goodenow-WaterClocks.pdf  . Accessed 29 March 2023. 

This is a historical tour of water clocks, known as clepsydra a Greek word meaning water thief. These devices were for telling time. Many variations are offered and then the mathematical analysis based on Bernoulli's Law and Torricelli's Law develops the shapes of the containers so that the water falls at a constant rate or that markers on the container put forth correct timings.

The analysis is detailed, but the resulting graphics are convincing.

 

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Authors

Author(s): Jennifer Goodnow1, Richard Orr1, David Ross1

Rochester Institute of Technology, Rochester NY USA

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