Beer mats make bad frisbees

Author:

Ostmeyer JohannORCID,Schürmann Christoph,Urbach Carsten

Abstract

AbstractIn this article we show why flying and rotating beer mats, CDs, or other flat disks will eventually flip in the air and end up flying with backspin, thus, making them unusable as frisbees. The crucial effect responsible for the flipping is found to be the lift attacking not in the center of mass but slightly offset to the forward edge. This induces a torque leading to a precession towards backspin orientation. An effective theory is developed providing an approximate solution for the disk’s trajectory with a minimal set of parameters. Our theoretical results are confronted with experimental results obtained using a beer mat shooting apparatus and a high speed camera. Very good agreement is found.

Funder

deutsche forschungsgemeinschaft

Publisher

Springer Science and Business Media LLC

Subject

General Physics and Astronomy

Reference20 articles.

1. beer mat, in Cambridge Advanced Learner’s Dictionary ( Cambridge University Press, 2013) https://dictionary.cambridge.org/dictionary/english/beer-mat

2. N. M. Kamaruddin, Dynamics and Performance of Flying Discs, Ph.D. thesis (2011), aerodynamic center of frisbees on pp. 104-112 https://search.proquest.com/dissertations-theses/dynamics-performance-flying-discs/docview/1775453524/se-2?accountid=14618

3. M. Hubbard, S.A. Hummel, Simulation of Frisbee Flight, in 5th Conference on Mathematics and Computers in Sport, edited by G. Cohen ( Sydney, New South Wales, Australia, 2000) http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.196.2540

4. Erynn J. Schroeder, An Aerodynamic Simulation of Disc Flight, Ph.D. thesis (2015) https://digitalcommons.csbsju.edu/honors_theses/68

5. R.D. Lorenz, Flight and attitude dynamics measurements of an instrumented Frisbee, Measurement Science and Technology. 16, 738–748 (2005) https://doi.org/10.1088/0957-0233/16/3/017

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