Practice Problems
Vibrating Strings
Directions:
On this worksheet you will be investigating the interference properties along a
vibrating string
and its
wave velocity
.
omit
Question 1
If 22 meters of a type of string has a mass of 46.9 grams, what is its linear mass density?
10.32 kg/m
0.0213 kg/m
1.032 kg/m
0.00213 kg/m
omit
Question 2
A section of this string is secured on one side of a sounding board and 37 washers are hung from its other end.
If each washer has a mass of 1.00 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
).
37.0 newtons
363 newtons
0.363 newtons
0.0098 newtons
omit
Question 3
What will be the speed of any wave that travels along this string?
0.0130 m/sec
4.12 m/sec
0.0187 m/sec
13.0 m/sec
omit
Question 4
The center of the string is now lightly plucked setting the string into vibration. If only one loop is produced along the 56.9-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.
0.569 meters
2.28 meters
1.138 meters
0.285 meters
omit
Question 5
At what frequency is the string resonating?
22.9 hz
3.62 hz
11.5 hz
45.8 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 times that of the original string.
When 70 washers are added to this string and it is plucked, at what frequency will this second string resonate?
44.6 hz
11.1 hz
22.3 hz
5.73 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.
6.28 hz
5.57 hz
0.314 hz
5.73 hz
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