Help? A large water tank has many corks bobbing on its surface. A simple wave pr

Question

Help?

A large water tank has many corks bobbing on its surface. A simple wave propagates from one end of the tank to the other. It is observed that the corks bob on the water with a maximum vertical speed of 3 cm/s and a maximum vertical acceleration of 2 cm/s2, (a) What is the amplitude of this water wave? (b) It is observed that a given row of corks at their maximum height (corresponding to a crest of the wave) are 3m away from the next crest of corks. What is the speed of propagation of the wave?

Explanation / Answer

1) V max = A*W = 3.....(1)

amax = W^2*A = 2,,,,,,(2)

1^2 /2

A = 9/2 = 4.5 cm

b) Lambda = 3m
lambda = 3 m

W = 3/4.5 = (2/3)

V = Lf = L*W/2pi = (3*(2/3))/(6.28)= 1.274 m/s

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