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25 January, 13:49

Walking along the beach, you notice that a new wave reaches the shore every 3.8 s, and you estimate the wave crests to be 2.5 m apart. At what wave speed c are the waves moving?

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  1. 25 January, 15:24
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    The waves are moving at the speed of 0.66 m/s

    Explanation:

    1. dа ta:

    a) period = 3.8 s

    b) λ = 2.5 m

    c) c = ?

    2. Physical principles and formula:

    The time that it takes a wave to complete a cycle is called period. the unit of period is second. The period is the inverse of the frequency, i. e. period = 1 / frequency The distance between two consecuitve crests is the wavelength The equation that relates speed (s), wavelength (λ), and period (T) is:

    distance = speed * time

    wavelength = speed * T

    λ = c * T

    meter = (meter/second) * second

    m = (m / s) * s

    3. Solution:

    λ = c * T ⇒ c = λ / T c = 2.5 m / 3.8 s = 0.66 m/s
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