The water bottle flipping experiment: a quantitative comparison between experiments and numerical simulations - Archive ouverte HAL
Pré-Publication, Document De Travail (Preprint/Prepublication) Année : 2024

The water bottle flipping experiment: a quantitative comparison between experiments and numerical simulations

Résumé

The water bottle flip experiment is a recreational, non-conventional illustration of the conservation of angular moment. When a bottle partially filled with water is thrown in a rotational motion, water redistributes throughout the bottle, resulting in an increase of moment of inertia and thus to a decrease in angular velocity, which increases the probability of it falling upright on a table as compared with a bottle filled with ice. The investigation of this phenomenom is accessible to undergraduate students and should allow them to gain better understanding of combined translational and rotational motions in classical mechanics. We report a series of detailed experiments that are quantitatively compared with numerical calculations based on a simple theoretical framework in which the water volume is decomposed into thin slices of a rigid body that are subjected to fictitious forces in the non-inertial frame of the spinning bottle. This model also allows us to capture and predict other experimental configurations. Finally, we discuss additionnal counter-intuitive effects that contribute to bottle stabilization on landing.
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Dates et versions

hal-04664114 , version 1 (29-07-2024)
hal-04664114 , version 2 (13-08-2024)

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Julie Nassoy, Margot Nguyen Huu, Léon Rembotte, Jean-Baptiste Trebbia, Pierre Nassoy. The water bottle flipping experiment: a quantitative comparison between experiments and numerical simulations. 2024. ⟨hal-04664114v2⟩
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