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Show that for a sinusoidal progressive wave given by
PHYSICS · Subjective · A Level · Physics · Waves · Waves
Problem
Show that for a sinusoidal progressive wave given by
y
(
x
,
t
)
=
A
sin
(
k
x
−
ω
t
+
ϕ
)
y(x,t)=A\sin(kx-\omega t+\phi)
y
(
x
,
t
)
=
A
sin
(
k
x
−
ω
t
+
ϕ
)
, the time-averaged displacement of any particle of the medium over an integral number of complete periods is zero.
Related theory
Wave Description
Transverse and longitudinal waves
Displacement relation in a progressive wave
Waves
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