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

ID: 1613063 • 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 885 seats around a stadium in 36.1 s, with spectators requiring about 2.00 s to respond to the wave's passage by standing and then sitting. What are (a) the wave speed v and (b) width w? __________ seats/s ____ seats

Explanation / Answer

A.

given that the human wave travels a distance of 885 seats around a stadium in 36.1 s, So

Velocity = 885 seats/36.1 sec = 24.51 seats/sec

B.

Seats = Velocity*seconds

Seats = 24.51*2 = 49 seats

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