A fisherman notices that his boat is moving up and down periodically without any

Question

A fisherman notices that his boat is moving up and down periodically without any horizontal motion, owing to waves on the surface of the water It takes a time of 270 a for the boat to travel from its h-ghost point to its lowest, a total distance o' 0.690 m The fisherman sees that the wave crests are spaced a horizontal distance of 5.50 m apart How fast are the waves traveling? Express the speed V in meters per second using three significant figures. What is the amplitude A of each wave? Expross your answer m meters using three significant figures

Explanation / Answer

Here,

half time period , T/2 = 2.70

T = 5.4 s

peak to peak distance = 0.690 m

2 * A = 0.690

A = 0.345 m

wavelength = 5.5 m

part A)

frequency , f = 1/T

frequency , f = 1/5.4 s

frequency , f = 0.185 Hz

speed of wave = wavelength * frequency

speed of wave = 5.5 * 0.185 m/s

speed of wave = 1.019 m/s

the speed of wave is 1.019 m/s

part B)

as peak to peak distance = 2 * amplitude = 0.690

amplitude = 0.345 m

the amplitude of wave is 0.345 m

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