The spinning ball spiral
Author(s) -
Guillaume Dupeux,
Anne Le Goff,
David Quéré,
Christophe Clanet
Publication year - 2010
Publication title -
new journal of physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.584
H-Index - 190
ISSN - 1367-2630
DOI - 10.1088/1367-2630/12/9/093004
Subject(s) - drag , ball (mathematics) , spinning , spiral (railway) , exponential function , rotational speed , mechanics , physics , angular velocity , rotation (mathematics) , trajectory , classical mechanics , mathematics , geometry , mathematical analysis , engineering , mechanical engineering , astronomy
International audienceWe discuss the trajectory of a fast revolving solid ball moving in a fluid of comparable density. As the ball slows down owing to drag, its trajectory follows an exponential spiral as long as the rotation speed remains constant: at the characteristic distance L where the ball speed is significantly affected by the drag, the bending of the trajectory increases, surprisingly. Later, the rotation speed decreases, which makes the ball follow a second kind of spiral, also described in the paper. Finally, the use of these highly curved trajectories is shown to be relevant to sports. © IOP Publishing Ltd and Deutsche Physikalische Gesellschaft
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