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Question

A fisherman in a row boat notices that one wave crest passes his fishing line every 5 s. He estimates the distance between the crests to be 1.5 m and estimates that the crests of the waves are 0.5 m above the troughs. Using this data, determine the amplitude and speed of the waves.

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Solution

The distance between the two consecutive crest is known as the wavelength of the wave according to given question the wavelength λ=1.5 m
time period of the wave T = 5 s

the relation between the wavelength, velocity of wave and time period is given as v=λT=1.55= 0.3 m/s
As the the perpendicular distance between crest and trough is 0.5 m the amplitude of the wave A=0.52=0.25 m


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