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Crests of an ocean wave pass a pier every 10.0 s. if the waves are moving at 5.6 m/s, what is the wavelength of the ocean waves?

Respuesta :

skyluke89
Every 10.0 seconds, a crest of the wave passes the pier. This means that the period of the wave is exactly 10.0 s:
[tex]T=10.0 s[/tex]
which means that the frequency of the wave is
[tex]f= \frac{1}{T}= \frac{1}{10.0 s}=0.1 Hz [/tex]

The wavelength of a wave is related to its frequency by the relationship
[tex]\lambda= \frac{v}{f}[/tex]
where v is the speed of the wave.
In this problem, v=5.6 m/s; if we use the previous formula, we find the wavelength of the wave:
[tex]\lambda= \frac{5.6 m/s}{0.1 Hz}=56 m [/tex]
pstnonsonjoku

From the calculations, it is clear that the wavelength of the wave is 56 m.

What is wavelength?

The wavelength is the distance covered by a wave. Given that v =  λf

v = velocity

λ = wavelength

f = frequency

But f = 1/T

Hence;

v = λ/T

λ = vT

λ= 5.6 m/s * 10 s

= 56 m'

Learn more about wavelength:https://brainly.com/question/13533093

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