Practice Problems
Vibrating Strings
Topics:
On this worksheet you will be investigating the interference properties along a
vibrating string
and its
wave velocity
.
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omit
Question 1
If 15 meters of a type of string has a mass of 47.7 grams, what is its linear mass density?
0.0318 kg/m
7.16 kg/m
0.716 kg/m
0.00318 kg/m
omit
Question 2
A section of this string is secured on one side of a sounding board and 40 washers are hung from its other end.
If each washer has a mass of 1.25 grams, what is the tension along the string? Recall that the tension is produced by the weight of the suspended washers: weight (measured in newtons) = mass (measured in kilograms) times gravity (9.8 m/sec
2
).
50.0 newtons
0.490 newtons
392 newtons
0.0123 newtons
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Question 3
What will be the speed of any wave that travels along this string?
12.4 m/sec
0.0124 m/sec
0.0262 m/sec
3.93 m/sec
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Question 4
The center of the string is now lightly plucked setting the string into vibration. If only one loop is produced along the 57.7-cm long vibrating segment, what is the wavelength of the string's frequency?
Recall that a loop (N-A-N) represents one-half of a wavelength.
1.154 meters
0.289 meters
2.31 meters
0.577 meters
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Question 5
At what frequency is the string resonating?
21.5 hz
43.0 hz
3.40 hz
10.8 hz
omit
Question 6
A second string, having the same length, is now added to the sounding board. It has a linear mass density that is 2.5 times that of the original string.
When 96 washers are added to this string and it is plucked, at what frequency will this second string resonate?
42.2 hz
10.5 hz
4.30 hz
26.3 hz
omit
Question 7
How many beats would be heard between the two strings over a period of 20 seconds? Recall that one beat is heard each second when the difference in the frequencies between two sources is one hertz.
4.35 hz
5.38 hz
0.217 hz
5.27 hz
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