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8 April, 05:18

A woman is standing in the ocean, and she notices that after a wave crest passes by, five more crests pass in a time of 29.4 s. The distance between two successive crests is 31.4 m. What is the wave's (a) period, (b) frequency, (c) wavelength, and (d) speed

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  1. 8 April, 08:25
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    (a) 5.88 s

    (b) 0.17 Hz

    (c) 31.4 m

    (d) 5.338 m/s

    Explanation:

    From the question,

    (a) Period = time between successive crest = t/n ... Equation 1

    where t = time, n = number of wave crest

    Given: t = 29.4, n = 5

    therefore,

    Period (T) = 29.4/5 = 5.88 s.

    (b) Frequency = 1/period

    Frequency = 1/5.88

    Frequency = 0.17 Hz.

    (c) wavelength = distance between two successive crest = 31.4 m

    (d) using,

    v = λf ... Equation 2

    Where v = speed, f = frequency, λ = wavelength

    given: f = 0.17 Hz, λ = 31.4 m

    Substitute into equation 2

    v = 0.17 (31.4)

    v = 5.338 m/s
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