PhysicsLAB: Practice: Speed of a Wave Along a String

Worksheet
Practice: Speed of a Wave Along a String

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/sec0.30 m/sec3.0 m/sec30. m/secNone of the above

2. A 11-hz wave traveling at a speed of 33 m/s has a wavelength of:

0.33 m1.1 m3.0 m3.3 mNone 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 hz2.0 hz1.2 hz4.0 hzNone 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/s1.0 m/s1.2 m/s2.4 m/sNone 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/s100 m/s120 m/s1.4 x 10⁴ m/sNone 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 N270 N2.7 x 10³ N6.4 x 10⁴ NNone 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/sec5.48 m/sec173 m/sec180 m/sec3.0 x 10⁴ m/sec

8. Based on the frequency stated in question #7, how many nodes would be present along this string?

10111213

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 m7.6 m24 m32 mNone of the above