Calculating Wave Velocity in a Stadium

AI Thread Summary
The discussion focuses on calculating wave velocity in a circular stadium during football season, specifically for a "Human wave" that travels around the venue. The key formulas presented include wave velocity (v) as a function of angular frequency (w), period (T), distance to the first row (a), distance between rows (d), and row number (n). The equations provided are v = wr and v = w(a+nd), with w defined as 2π/T. Participants are encouraged to explore the elliptical case for further understanding. This topic combines physics with the excitement of sports, making it relevant for fans and students alike.
flatmaster
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Football season's comming up, so here we go.

Assume a circular stadium. A "Human wave" travels around the stadium.
T = period
a = distance to first row
d = distance between rows
n = row number (may need to be converted from a letter or double letter)

Wave velocity

v = wr
v = w(a+nd)


or...

w=2pi/T

v = 2pi(a+nd)/T

It is left to the student to work out the elliptical case.
 
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Nice info
 
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