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Tapping the surface of a pan of water generates 17.5 waves per second. If the wavelength of each wave is 45 cm, what is the speed of the waves?1) 7.9 m/s2) 790 m/s3) 39 m/s4) 2.6 m/s

User Casey Rule
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1 Answer

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The frequency of the waves is 17.5 Hz, and their wavelength is 45cm. Recall the following reation between the frequency, the wavelength and the speed of a wave:


v=\lambda f

Substitute f=17.5Hz and λ=45cm to find the speed of the wave:


\begin{gathered} v=(45\operatorname{cm})(17.5Hz) \\ =787.5\frac{\operatorname{cm}}{s} \\ =7.875(m)/(s) \\ \approx7.9(m)/(s) \end{gathered}

Therefore, the speed of the waves is:


7.9(m)/(s)

User Steven Obua
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