# The speed of sound in air is about 340 m/s. What is the wavelength of a sound wave with a frequency of 220 Hz?

Sep 7, 2016

$1.54 \overline{54} \text{ meters}$

#### Explanation:

$\text{Hz" = "cycles"/"second}$

$\text{wavelength}$ is measured as $\text{meters"/"cycle}$
$\textcolor{w h i t e}{\text{XXX}}$or sometimes just $\text{meters}$
$\textcolor{w h i t e}{\text{XXX}}$ with the understanding that it means $\text{meters per cycle}$

(340 "meters"/cancel("second"))/(220 "cycles"/cancel("second"))

color(white)("XXX")=340/220 "meters"/"cycle"

color(white)("XXX")=1.54bar(54) "meters"/"cycle"