A wavelength approaching land at 25 m/s is 4.0 x 102 m. What is its period?

Question

A wavelength approaching land at 25 m/s is 4.0 x 102 m. What is its period?

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Ngọc Khuê 4 years 2021-08-22T05:26:15+00:00 1 Answers 13 views 0

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    2021-08-22T05:27:39+00:00

    Answer:

    16 s

    Explanation:

    The frequency of a wave is the number of oscillations of the wave per second. It is given by:

    f=\frac{v}{\lambda}

    where

    v is the wave speed

    \lambda is the wavelength

    For the wave in this problem we have

    v = 25 m/s

    \lambda=4.0\cdot 10^2 m=400 m

    So the frequency is

    f=\frac{25}{400}=0.0625 Hz

    The period of a wave is the time taken for one complete oscillation, and it is equal to the reciprocal of the frequency:

    T=\frac{1}{f}

    So the period of this wave is:

    T=\frac{1}{0.0625}=16 s

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