Question

A sound wave of frequency 349 Hz has an intensity of 4.03
*?*W/m^{2}. 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/m^{3}.)

Answer #1

given

f = 349 Hz

V = 343 m/s

= 1.21 kg/m^{3}

I = 4.03 *
*W/m^{2 }

and = 2 f

using equation

I = 1/2 V
^{2}
A^{2}

4.03 X 10^{-6} = 0.5 X 343 X 1.21 X ( 2 X 3.14 X 349
)^{2} X A^{2}

A^{2} = 4.03 X 10^{-6} / 0.5 X 343 X 1.21 X ( 2
X 3.14 X 349 )^{2}

A^{2} = 4.0428 X 10^{-15}

**A = 6.35 X 10 ^{-8} m**

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