Ocean waves of wavelength 30m are moving directly toward a concrete barrier wall at 4.8m/s. The waves reflect from the wall, and the incoming and reflected waves overlap to make a lovely standing wave with an antinode at the wall. (Such waves are a common occurrence in certain places.) A kayaker is bobbing up and down with the water at the first antinode out from the wall. A) How far from the wall is she? B) What is the period of her up and down motion?

Question

Hammer

Physics

7 July, 09:11

Ocean waves of wavelength 30m are moving directly toward a concrete barrier wall at 4.8m/s. The waves reflect from the wall, and the incoming and reflected waves overlap to make a lovely standing wave with an antinode at the wall. (Such waves are a common occurrence in certain places.) A kayaker is bobbing up and down with the water at the first antinode out from the wall. A) How far from the wall is she? B) What is the period of her up and down motion?

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Answers (1)

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Felix · Answer 1

a) 15m

b) 6.25s

Explanation:

A) She is ½ a wavelength away, or

d = λ/2 = 30/2 = 15 m

B) Speed of the wave:

V=fλ = λ/T

so,

T=λ/V = 30/4.8

T=6.25s