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Lecture20 Examples Solutions
Sample Problem1
HW205.
(HRW 1691) Two waves are described by
and
where y
1
, y
2
, and x are in meters and t is in seconds.
When these two waves are combined, a traveling wave is produced. What are the (a)
amplitude, (b) wave speed, and (c) wavelength of that traveling wave?
Solution:
91. Using Eq. 1650 and splitting the phase difference between the two waves, we have
()
'
0.60cos
sin 5
200
6
y
xt
π
⎡⎤
=π
−
π
⎢⎥
⎣⎦
with length in meters and time in seconds (see Eq. 1655 for comparison).
(a) The amplitude is seen to be
0.60cos
0.3 3
0.52m.
6
π
==
(b) Since
k
= 5
π
and
ω
= 200
π
, then (using Eq. 1612)
40m/s.
v
k
(c)
k
= 2
π
/
λ
leads to
= 0.40 m.
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 Spring '08
 Kim

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