Article
Version 4
Preserved in Portico This version is not peer-reviewed
Universal Scaling Law for the Velocity of Dominoes Toppling Motion
Version 1
: Received: 2 December 2019 / Approved: 3 December 2019 / Online: 3 December 2019 (05:28:53 CET)
Version 2 : Received: 8 December 2019 / Approved: 9 December 2019 / Online: 9 December 2019 (03:36:12 CET)
Version 3 : Received: 28 February 2020 / Approved: 29 February 2020 / Online: 29 February 2020 (10:55:12 CET)
Version 4 : Received: 16 March 2020 / Approved: 17 March 2020 / Online: 17 March 2020 (04:24:39 CET)
Version 2 : Received: 8 December 2019 / Approved: 9 December 2019 / Online: 9 December 2019 (03:36:12 CET)
Version 3 : Received: 28 February 2020 / Approved: 29 February 2020 / Online: 29 February 2020 (10:55:12 CET)
Version 4 : Received: 16 March 2020 / Approved: 17 March 2020 / Online: 17 March 2020 (04:24:39 CET)
How to cite: Sun, B. Universal Scaling Law for the Velocity of Dominoes Toppling Motion. Preprints 2019, 2019120017. https://doi.org/10.20944/preprints201912.0017.v4 Sun, B. Universal Scaling Law for the Velocity of Dominoes Toppling Motion. Preprints 2019, 2019120017. https://doi.org/10.20944/preprints201912.0017.v4
Abstract
By using directed dimensional analysis and data fitting, an explicit universal scaling law for the velocity of dominoes toppling motion is formulated. The scaling law shows that domino propagational velocity is linearly proportional to the 1/2 power of domino separation and thickness, and -1/2 power of domino height and gravitation. The study also proved that dominoes width and mass have no influence on the domino wave traveling velocity. The scaling law obtained in this Letter is very useful to the dominoes game and will help the domino player to place the dominoes for fast speed and have a quick estimation on the speed without doing complicated multi-bodies dynamical simulation.
Keywords
dominoes; toppling motion; velocity; height; thickness; separation
Subject
Physical Sciences, Mathematical Physics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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Commenter: Bohua Sun
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