A person uses a surfboard to ride every 30th wave crest towards the beach. The wave crest travels at a speed of 1.6m/s and the distance betw

Question

A person uses a surfboard to ride every 30th wave crest towards the beach. The wave crest travels at a speed of 1.6m/s and the distance between each wave crest is 24 m. How many wave crests does the person surf in one hour?

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Đan Thu 2 months 2021-07-23T02:23:11+00:00 1 Answers 6 views 0

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    2021-07-23T02:25:02+00:00

    Answer:

    8

    Explanation:

    Applying,

    v = λf……………. Equation 1

    Where v = velocity/ speed of the wave, λ = wave length of the wave, f = number of waves the person surf in one seconds.

    make f the subject of the equation

    f = v/λ………… Equation 2

    From the question,

    Given: v = 1.6 m/s, λ = 24 m

    Substitute these values into equation 2

    f = 1.6/24

    f = 0.0667 wave/seconds.

    If,

    in one seconds, the person surf a total wave crest of 0.0667

    Therefore,

    in one hours, he will surf a total wave crest of (0.0667×60×60) = 240 waves crest

    He rides for every 30th wave crest,

    Hence,

    number of wave crest the person surf in one hour = 240/30 = 8

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