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An Explicit Scaling Law for the Speed of Falling Dominoes
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. An Explicit Scaling Law for the Speed of Falling Dominoes. Preprints 2019, 2019120017. https://doi.org/10.20944/preprints201912.0017.v1 Sun, B. An Explicit Scaling Law for the Speed of Falling Dominoes. Preprints 2019, 2019120017. https://doi.org/10.20944/preprints201912.0017.v1
Abstract
By using directed dimensional analysis and data fitting, an explicit universal scaling law for the speed of falling dominoes is formulated. The scaling law shows that domino propagational speed is linear proportional to the 3/2 power of domino separation, and -1/2 power of domino height and thickness.
Keywords
domino; speed; 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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