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The displacement amplitude is proportional to the reciprocal of the distance from the
source. We take the wave to be sinusoidal. It travels radially outward from the source,
with points on a sphere of radius
r
in phase. If
ω
is the angular frequency and
k
is the
angular wave number then the time dependence is sin(
kr
–
t
). Letting
/4
,
bPC
=π
the
displacement wave is then given by
1
(,)
s
in
(
)
s
(
)
.
4
Pb
srt
k
r
t
k
r
t
Cr
r
=−
=
−
π
ωω
(b) Since
s
and
r
both have dimensions of length and the trigonometric function is
dimensionless, the dimensions of
b
must be length squared.
106. (a) Let
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This note was uploaded on 03/20/2010 for the course PHYSICS 191262 taught by Professor Najafzadeh during the Spring '09 term at The Petroleum Institute.
 Spring '09
 NAJAFZADEH
 mechanics, Energy, Power

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