Question

The frequency f (in waves per second) and the wavelength w (in meters) of a sound traveling in air are related by the equation fw=343 where 343 m/s is the speed of sound in air. Calculate the wavelength of a musical note with a frequency of 120 waves per second.

Answer 1

We need to calculate the wavelength w of a musical note with a frequency f = 120 waves per second.

We know that f (in waves per​ second) and w (in meters) are related as:

`fw=343`

Thus, to find w for f = 120, we need to replace f with 120 in the above relation.

We obtain:

`\begin{gathered} 120x=343 \\ \\ (120)/(120)x=(343)/(120) \\ \\ x=2.858333... \end{gathered}`

Therefore, approximating to the nearest hundredth, we have:

Answer: 2.86 meters