Research explains why beer mats are bad frisbees
link.springer.com
link.springer.com
> In principle, the theory of a rotating thin disk moving in air is known. Unfortunately, solving the corresponding equations including effects from turbulence is analytically intractable and even numerically highly demanding.
Isn't this exactly what a "chaotic effect" is? The influence that small changes in initial conditions has on the final outcome, and the analytical difficulty in correlating the two?
Of course they'd make bad frisbees, didn't think it'd be a question.
Then I read your comment.
Yes, that doesn't make a lot of sense since they go under the steins. But back in the day, you would drink outside and would primarily want to keep dirt and flies out of your stein, rather than the table clean.
So to this day, they're called lids, even though they're coasters (regional variations apply).
Although I've never thought about the rectangularity as being core to the meaning of "mat", esp since there are oval-shaped or semicircle-shaped doormats and such
The article explains that it's due to having a center of lift at the front edge rather than at the center of mass.
Especially free AOL CDs
Not mentioned in the paper, but a frisbee generates a significant amount of both lift and drag on the rear lip, which is considerably more stable (in keeping with the beer theme, darts have fins in the back for a similar reason; if the fins were in front they would tumble).
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Did a bit more digging and my above explanation of a frisbee stability is not necessarily true. A few sources I found seem to credit the rim as increasing the moment of inertia. Certainly flying rings (such as the aerobie) tend to have a much less pronouced rim, which is in keeping with this idea, though the aerobie does still need a tiny rim for aerodynamic stability.