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Question

# Solve. The wavelength $w$, in meters per cycle, of a musical note is given by$w=\frac{r}{f},$where $r$ is the speed of the sound, in meters per second, and $f$ is the frequency, in cycles per second. The speed of sound in air is $344 \mathrm{~m} / \mathrm{sec}$. What is the wavelength of a note whose frequency in air is $24$ cycles per second?

Solution

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To solve this problem all we have to do is $\textbf{substitute}$ $r$ for $344$ $\textit{m/s}$ and $f$ for $24$ $\textit{1/s}$ in the formula.

\begin{align*} w&=\frac{344}{24}\\ &=\boxed{\textcolor{#c34632}{14\frac{1}{3}}} \end{align*}

The wavelength of the note is $\boxed{\textcolor{#c34632}{14\frac{1}{3}}}$ $\textit{m}$.

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