A human wave. During sporting events within large, densely packed stadiums, spec

Question

A human wave. During sporting events within large, densely packed stadiums, spectators will send a wave (or pulse) around the stadium (the figure). As the wave reaches a group of spectators, they stand with a cheer and then sit. At any instant, the width w of the wave is the distance from the leading edge (people are just about to stand) to the trailing edge (people have just sat down). Suppose a human wave travels a distance of 870 seats around a stadium in 50.4 s, with spectators requiring about 2.20 s to respond to the wave's passage by standing and then sitting. What are (a) the wave speed v (in seats per second) and (b) width w (in number of seats)?

Explanation / Answer

a) 870/50.4 b) 2.2 x (870/50.4)

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