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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?

Respuesta :

Edufirst

Answer:

  •    The waves are moving at the speed of  0.66 m/s

Explanation:

1. Data:

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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