The displacement of a wave traveling in the positive $x$ -direction is $y(x, t)=(3.5 \mathrm{cm}) \cos (2.7 x-92 t),$ where $x$ is in $\mathrm{m}$ and $t$ is in s. What are the (a) frequency, (b) wavelength, and (c) speed of this wave?
Added by Jennifer R.
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The angular frequency $\omega$ is equal to $92 \, \text{s}^{-1}$. The frequency $f$ is related to the angular frequency by the equation $f = \omega / 2\pi$. Substituting the given value of $\omega$ gives $f = 92 \, \text{s}^{-1} / 2\pi = 14.6 \, \text{Hz}$. Show more…
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