The speed of sound in sea water is about 1422 m/s. If a sound wave has a frequency of 289 Hz, what is its wavelength in sea water?

Stacy Barr

Stacy Barr

Answered question

2022-09-24

The speed of sound in sea water is about 1422 m/s. If a sound wave has a frequency of 289 Hz, what is its wavelength in sea water?

Answer & Explanation

Guadalupe Reid

Guadalupe Reid

Beginner2022-09-25Added 8 answers

The formula that relates speed of a wave, v; frequency, f; and wavelength, λ ; is
v = λ f
Therefore
1422 m s = λ 289 H z
λ = 1422 m s 289 H z
The unit Hz is equivalent to s 1 . Therefore the last equation can be simplified as follows:
λ = 1422 m s 289 s 1 = 1422 289 m s s = 4.92 m

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