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oldhomewk 34 – VALENCIA, DANIEL – Due: Apr 28 2008, 4:00 am
1
Question 1, chap 16, sect 2.
part 1 of 1
10 points
The distance between two successive max
ima of a certain transverse wave is 1
.
72 m.
Eight crests, or maxima, pass a given point
along the direction of travel every 14
.
6 s.
Calculate the wave speed.
Correct answer: 0
.
942466 m
/
s (tolerance
±
1
%).
Explanation:
f
=
8
14
.
6 s
= 0
.
547945 Hz
,
and
v
=
λ f
= (1
.
72 m)(0
.
547945 Hz)
= 0
.
942466 m
/
s
.
Question 2, chap 16, sect 2.
part 1 of 3
10 points
The time needed for a water wave to change
from the equilibrium level to the crest is
0
.
5663 s.
What fraction of a wavelength is this?
Correct answer: 0
.
25 (tolerance
±
1 %).
Explanation:
The movement from the equilibrium level
to the crest represents
1
4
of a wavelength.
Question 3, chap 16, sect 2.
part 2 of 3
10 points
What is the period of the wave?
Correct answer: 2
.
2652 s (tolerance
±
1 %).
Explanation:
The period
T
of the wave is thus
T
= 4
t
= 2
.
2652 s
Question 4, chap 16, sect 2.
part 3 of 3
10 points
What is the frequency of the wave?
Correct answer: 0
.
441462 Hz (tolerance
±
1
%).
Explanation:
The frequency is
f
=
1
T
= 0
.
441462 Hz
Question 5, chap 16, sect 2.
part 1 of 1
10 points
A harmonic wave
y
=
A
sin[
k x

ω t

φ
]
,
where
A
= 1 meter,
k
has units of m

1
,
ω
has units of s

1
, and
φ
has units of radians, is
plotted in the diagram below.
+1

1
A
(meters)
t
(seconds)
10
20
30
At the position
x
= 0
Which wave function corresponds best to
the diagram?
1.
y
=
A
sin
b
k x

p
2
π
3 s
P
t

p
2
π
3
PB
2.
y
=
A
sin
b
k x

p
2
π
9 s
P
t

p
1
π
3
PB
3.
y
=
A
sin
b
k x

p
2
π
3 s
P
t

p
5
π
3
PB
4.
y
=
A
sin
b
k x

p
2
π
9 s
P
t

p
2
π
3
PB
5.
y
=
A
sin
b
k x

p
2
π
15 s
P
t

p
4
π
3
PB
6.
y
=
A
sin
b
k x

p
2
π
3 s
P
t

p
4
π
3
PB
7.
y
=
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 Spring '08
 Turner

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