hernandez (ejh742) – homework 32 – Turner – (58120)
1
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printout
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have
16
questions.
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before answering.
001
(part 1 of 4) 10.0 points
A traveling wave propagates according to the
expression
y
= (2
.
18 cm) sin
bracketleftBig
(1
.
99 cm
−
1
)
x

(4
.
3 s
−
1
)
t
bracketrightBig
,
where
x
is in centimeters, and
t
is in seconds.
Find the amplitude of the wave.
Correct answer: 2
.
18 cm.
Explanation:
Let :
A
= 2
.
18 cm
.
Given a wave
y
=
A
sin(
k x

ω t
), the ampli
tude of the wave is
A
= 2
.
18 cm
.
002
(part 2 of 4) 10.0 points
Determine the wavelength of the wave.
Correct answer: 3
.
15738 cm.
Explanation:
Let :
k
= 1
.
99 cm
−
1
.
The angular wave number of the wave is
k
, so
λ
=
2
π
k
=
2
π
1
.
99 cm
−
1
=
3
.
15738 cm
.
003
(part 3 of 4) 10.0 points
Determine the frequency of the wave.
Correct answer: 0
.
684366 Hz.
Explanation:
Let :
ω
= 4
.
3 s
−
1
.
The angular frequency of the wave is
ω
, so
f
=
ω
2
π
=
4
.
3 s
−
1
2
π
=
0
.
684366 Hz
.
004
(part 4 of 4) 10.0 points
Determine the period of the wave.
Correct answer: 1
.
46121 s.
Explanation:
The period of the wave is
T
=
1
f
=
1
0
.
684366 Hz
=
1
.
46121 s
.
005
10.0 points
A wave on a string is described by the wave
function
y
= (0
.
1 m) sin[(0
.
5 rad
/
m)
x

(20 rad
/
s)
t
]
Determine the frequency of oscillation of a
particular point at
x
= 2
.
0 m.
Correct answer: 3
.
1831 Hz.
Explanation:
Let :
ω
= 20 rad
/
s
.
In fact, when a wave with frequency
f
trav
els along a string, any point of the string has
the same oscillation frequency
f
. In this case,
f
=
ω
2
π
=
20 rad
/
s
2
π
=
3
.
1831 Hz
keywords:
006
(part 1 of 2) 10.0 points
A steel piano wire is 0
.
7 m long and has a
mass of 40 g. It is stretched with a tension of
400 N.
What is the speed of transverse waves on
the wire?
Correct answer: 83
.
666 m
/
s.
Explanation:
Let :
F
= 400 N
,
L
= 0
.
7 m
,
and
m
= 40 g = 0
.
04 kg
.
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hernandez (ejh742) – homework 32 – Turner – (58120)
2
The speed of transverse waves on the wire is
given by
v
=
radicalBigg
F
μ
=
radicaltp
radicalvertex
radicalvertex
radicalbt
F
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 Spring '08
 Turner
 Physics, Work, Sin, Correct Answer

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