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Question

Solve.
The wavelength ww, in meters per cycle, of a musical note is given by

w=rf,w=\frac{r}{f},

where rr is the speed of the sound, in meters per second, and ff is the frequency, in cycles per second. The speed of sound in air is 344 m/sec344 \mathrm{~m} / \mathrm{sec}. What is the wavelength of a note whose frequency in air is 2424 cycles per second?

Solution

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Answered 2 years ago
Answered 2 years ago
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To solve this problem all we have to do is substitute\textbf{substitute} rr for 344344 m/s\textit{m/s} and ff for 2424 1/s\textit{1/s} in the formula.

w=34424=1413\begin{align*} w&=\frac{344}{24}\\ &=\boxed{\textcolor{#c34632}{14\frac{1}{3}}} \end{align*}

The wavelength of the note is 1413\boxed{\textcolor{#c34632}{14\frac{1}{3}}} m\textit{m}.

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