An earthquake can produce a seiche in a lake in which the water sloshes back and forth from end to end with remarkably large amplitude and long period. Consider a seiche produced in a farm pond. Suppose the pond is 9.15 m long and assume it has a uniform width and depth. You measure that a pulse produced at one end reaches the other end in 2.50 s. (a) What is the wave speed? (6) What should be the frequency of the ground motion during the earthquake to produce a seiche that is a standing wave with antinodes at each end of the pond and one node at the center?

Mark Elliott

Mark Elliott

Answered question

2022-08-13

An earthquake can produce a seiche in a lake in which the water sloshes back and forth from end to end with remarkably large amplitude and long period. Consider a seiche produced in a farm pond. Suppose the pond is 9.15 m long and assume it has a uniform width and depth. You measure that a pulse produced at one end reaches the other end in 2.50 s. (a) What is the wave speed? (6) What should be the frequency of the ground motion during the earthquake to produce a seiche that is a standing wave with antinodes at each end of the pond and one node at the center?

Answer & Explanation

wietselau

wietselau

Beginner2022-08-14Added 28 answers

We are given following data for pulse produced by earthquake:
L=9.15m
t = 2.5 s
A) Calculating the wave speed:
v = L t = 9.15 2.5 = 3.66 m s
B) Time during which tje earthquake produce a seiche with antinodes at each end of the pond and one node at the center:
t = 2 t = 5 s
Corresponding frequency is equal to:
f = 1 t = 1 5 = 0.2 H z

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