Question

A sound wave of frequency 167 Hz has an intensity of 4.89 W/m2. What is the amplitude of the air oscillations caused by this wave? (Take the speed of sound to be 343 m/s, and the density of air to be 1.21 kg/m2.) Jem lem Number 1.0000000056 Units to the tolerance is +/-2%

Answer 1

Answer: the amplitude on the wave in the air is: 1.46*10^-4 m-

Explanation: In order to calculate the amplitude of the wave in air we have to use the formule of intesity of the wave given by:

I=1/2*(ρ*v*ω^2*A^2)  where ρ,v and ω, are the density of air, speed of sound and angular frequency of the wave, respectively. A is the amplitude of the wave.

Reorganising the above formule,  we can obtain that A is equal to:

$A= \frac{2*I}{v*\rho* w^2*A^2}$

replacing the data  A=1.46*10^-4 m