P18_019.PDF

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19. The intensity is given by

I

=

1

ρvω

2

s

2

, where

ρ

is the density of air,

v

is the speed of sound in air,

ω

is

m

2

the angular frequency, and

s

m

is the displacement amplitude for the sound wave. Replace

ω

with 2πf

and solve for

s

m

:

s

m

=

I

=

2π

2

ρvf

2

1.00

×

10

−6

W/m

2

3

2π

2

(1.21 kg/m )(343 m/s)(300 Hz)

2

= 3.68

×

10

−8

m

.

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