Preprint Article Version 2 Preserved in Portico This version is not peer-reviewed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)

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.v2 Sun, B. Universal Scaling Law for the Velocity of Dominoes Toppling Motion. Preprints 2019, 2019120017. https://doi.org/10.20944/preprints201912.0017.v2

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 linear proportional to the 3/2 power of domino separation, and -1/2 power of domino height and thickness. The study also proved that dominoes width and mass have no influence to the domino wave traveling velocity.

Keywords

domino; speed; height; thickness; separation

Subject

Physical Sciences, Mathematical Physics

Comments (1)

Comment 1
Received: 9 December 2019
Commenter: Bohua Sun
Commenter's Conflict of Interests: Author
Comment: Title is changed, Eq.(11) is corrected and last section is added.
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