Carpanedam7

2022-07-16

A tuning fork vibrates producing sound at a frequency of 512 Hz. The speed of sound in air is v = 343.00 m/s if the air is at a temperature of ${20.00}^{\circ }C$. What is the wavelength of the sound?

Expert

The wave speed v is related to the wavelength $\lambda$ and frequency f by:
$v=\lambda f$...(1)
Given data:
f (frequency of the sound produced)=512Hz
v (speed of sound in air at ${20}^{\circ }C$)$=343m/s$
Required Data:
We are asked to determine the wavelength of the sound.
Solution:
The wavelength of the sound is found by solving Equation (1) for $\lambda :$
$\lambda =\frac{v}{f}$
Substitute numerical values from given data:
$\lambda =\frac{343m/s}{512Hz}$
=0.67m
Result:
$\lambda =0.67m$

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