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Show that the speed of a wave represented by can be written both as and as
PHYSICS · Subjective · A Level · Physics · Waves · Waves
Problem
Show that the speed of a wave represented 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
)
can be written both as
v
=
ω
k
\displaystyle v=\frac{\omega}{k}
v
=
k
ω
and as
v
=
λ
f
v=\lambda f
v
=
λ
f
, where
λ
\lambda
λ
is the wavelength and
f
f
f
the frequency.
Related theory
Wave Speed Relation
Wave Speed
Wave Description
Transverse and longitudinal waves
Displacement relation in a progressive wave
Waves
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