Worksheet
Practice: Speed of a Wave Along a String
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Remember, in working problems, that the units must be converted into meters, kilograms, and seconds.
Some formulas that you might want to reference are:
1. A wave pulse travels the length of a string in 0.1 seconds. If the string is 3.0 meters long, then the speed of any wave propagated along this string would be
0.033 m/sec
0.30 m/sec
3.0 m/sec
30. m/sec
None of the above
2. A 11-hz wave traveling at a speed of 33 m/s has a wavelength of:
0.33 m
1.1 m
3.0 m
3.3 m
None of the above
3. A wave traveling along a string takes 0.25 seconds to go from its lowest point to its highest point at a particular location along the string. The wave frequency is:
1.0 hz
2.0 hz
1.2 hz
4.0 hz
None of the above
4. A wave traveling along a string takes 0.25 seconds to go from its lowest point to its highest point at a particular location along the string. If the wavelength is 1.2 m, the speed of the traveling wave is:
0.83 m/s
1.0 m/s
1.2 m/s
2.4 m/s
None of the above
5. How fast would a transverse wave travel along a 2.5-m long cord if it has a mass of 50 grams and is placed under 288-N of tension?
29 m/s
100 m/s
120 m/s
1.4 x 10
^{4}
m/s
None of the above
6. A 32-cm long violin string having a mass of 1.8 grams, sounds a 528 Hz note as its fundamental (half wavelength up and down motion). The tension in the string is:
640 N
270 N
2.7 x 10
^{3}
N
6.4 x 10
^{4}
N
None of the above
7. A string of length 3.0 meters is stretched to a tension of 100. N. If the string's mass is 10. grams, at what speed would a 346-hz wave travel along the string?
0.577 m/sec
5.48 m/sec
173 m/sec
180 m/sec
3.0 x 10
^{4}
m/sec
8. Based on the frequency stated in question #7, how many nodes would be present along this string?
10
11
12
13
9. (a review question) A heavy weight on the end of a light cable swings from the left to the right in 4.9 seconds. The length of this pendulum's cable is:
0.90 m
7.6 m
24 m
32 m
None of the above
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