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A sound wave of frequency 349 Hz has an intensity of 4.03 ?W/m2. What is the...

A sound wave of frequency 349 Hz has an intensity of 4.03 ?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/m3.)

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Answer #1

given

f = 349 Hz

V = 343 m/s

= 1.21 kg/m3  

I = 4.03 W/m2   

and = 2 f

using equation

I = 1/2 V 2 A2

4.03 X 10-6 = 0.5 X 343 X 1.21 X ( 2 X 3.14 X 349 )2 X A2

A2 = 4.03 X 10-6 / 0.5 X 343 X 1.21 X ( 2 X 3.14 X 349 )2   

A2 = 4.0428 X 10-15

A = 6.35 X 10-8 m

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