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

ID: 1510219 • Letter: A

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 886 seats around a stadium in 49.0 s, with spectators requiring about 2.10 s to respond to the wave's passage by standing and then sitting. What are the wave speed v and width w

Explanation / Answer

a) 886/49 = 18.081 seats/sec

b) 18.081*2.10 = 37.971 seats

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