Why Newton’s bucket cannot account for Earth’s rotation

International audience This note illustrates, at an undergraduate level, how an a priori legitimate assumption of uniform gravity can lead to intuitively satisfying but false results. Considering the simple situation of a liquid contained in a bowl at rest with respect to the ground at the North Pol...

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Bibliographic Details
Published in:European Journal of Physics
Main Author: Watzky, Alexandre
Other Authors: Laboratoire de Modélisation et Simulation Multi Echelle (MSME), Université Paris-Est Marne-la-Vallée (UPEM)-Université Paris-Est Créteil Val-de-Marne - Paris 12 (UPEC UP12)-Centre National de la Recherche Scientifique (CNRS)
Format: Article in Journal/Newspaper
Language:English
Published: HAL CCSD 2018
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Online Access:https://hal.science/hal-01659126
https://hal.science/hal-01659126/document
https://hal.science/hal-01659126/file/Bucket-AW-EurJPhys.pdf
https://doi.org/10.1088/1361-6404/aa8bab
Description
Summary:International audience This note illustrates, at an undergraduate level, how an a priori legitimate assumption of uniform gravity can lead to intuitively satisfying but false results. Considering the simple situation of a liquid contained in a bowl at rest with respect to the ground at the North Pole, we look for the shape of its surface, taking Earth’s rotation into account. The classical problem of a rotating fluid is converted to that of the determination of Earth’s shape.