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13.
(a) The wave speed is given by
v
=
λ/T
=
ω/k
,where
λ
is the wavelength,
T
is the period,
ω
is the
angular frequency (2
π/T
), and
k
is the angular wave number (2
π/λ
). The displacement has the form
y
=
y
m
sin(
kx
+
ωt
), so
k
=2
.
0m
−
1
and
ω
=30rad
/
s. Thus
v
=(30rad
/
s)
/
(2
.
0m
−
1
)=15m
/
s.
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 Fall '08
 SPRUNGER
 Physics

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