Preprint
Article

Universal Scaling Law for the Velocity of Dominoes Toppling Motion

This version is not peer-reviewed.

Submitted:

28 February 2020

Posted:

29 February 2020

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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 open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.

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