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Problem

1. Ocean waves with 18m wavelength travel at
5.3 m/s. What
is
the time interval between wave
crests
passing
under a boat moored at a
fixed
location?
Solution
Wave crests (adjacknt wavefronts) take a time of one
period to pass a
fixed
point, traveling at the wave
speed (or phase velocity) for
a distance of one
wavelength. Thus
T
=
X/v
=
18 mI(5.3 m/s)
=
3.40
s.
Problem
3.
An 88.7MHz FM radio wave propagates at the
speed of light. What is its wavelength?
Solution
From Equation
161,
X
=
v/
f
=
(3x 10' m/s)+
(88.7~10~
Hz)
=
3.38 m.
. . 

.
Problem
11. An ocean wave has period 4.1 s and wavelength
10.8 m. Find (a) its wave number and (b) its
angular frequency.
Solution
F'rom Equations 163 and 4, (a) k
=
2.rr/10.8 m
=
0.582 m', and (b)
w
=
2~/(4.1
s)
=
1.53 s'.


Problem
19. Figure 1630a shows a wave plotted as a function
of position at time
t
=
0, while Fig. 1630b shows
the same wave plotted as a function of time at
position
x
=
0.
Find (a) the wavelength, (b) the
period, (c) the wave speed, and (d) the direction
of propagation.
23. A transverse wave with 3.0cm amplitude and
75cm wavelength is propagating on a stretched
spring whose mass per unit length is 170 g/m. If
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 Spring '05
 wurthmeir

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