# physics

posted by .

A vibrating stretched string has length 31 cm, mass 19 grams and is under a tension of 38 newtons. What is the frequency of its 3rd harmonic?
If the source of the wave is an open organ pipe of the same length as the wire, what would be the frequency of the 4 th harmonic?

• physics -

The formula will require that you know the wave speed in the wire. That is
V = sqrt[(Tension)/(linear density)]
= sqrt[38N/(.019kg/.31m)] = 24.9 m/s

The harmonic number is determined by how many half-wavelengths there are in the wire's standing wave pattern. For the frequency, you will use
F*(wavelength) = V

## Similar Questions

The mass of a string is 6.0 x 10^-3 kg, and it is stretched so the tension in it is 195 N. A transverse wave traveling on this string has a frequency of 260 Hz and a wavelength of 0.60 m. What is the length of the string?
2. ### Physics

A string is under a tension of 700.0 N. A 1.5 m length of the string has a mass of 4.5 grams. What is the speed of a transverse wave of wavelength 0.50 m in this string?
3. ### physics

The string on a violin has a fundamental frequency of 120.0 Hz. The length of the vibrating portion is 36 cm and has a mass of 0.58 g. Under what tension (in newtons) must the string be placed?
4. ### physical

You are playing a note that has a fundamental frequency of 466.16 Hz on a guitar string of length 59.9 cm. At the same time, your friend plays a fundamental note on an open organ pipe, and 4.0 beats per seconds are heard. The mass …
5. ### Physics

A 19.5 gram, 56.3 centimeter long steel guitar string is vibrating in its fourth harmonic.  It induces a standing wave in a nearby 48.6 centimeter metal pipe open at one end.  The standing sound wave in the pipe corresponds to the …
6. ### Physics

A string is fixed at both ends and vibrating at 120 Hz, which is its third harmonic frequency. The linear density of the string is 4.9x10-3 kg/m, and it is under a tension of 3.6 N. Determine the length of the string.
7. ### physical

You are playing a note that has a fundamental frequency of 440.00 Hz on a guitar string of length 59.1 cm. At the same time, your friend plays a fundamental note on an open organ pipe, and 4.0 beats per seconds are heard. The mass …
8. ### physics

A vibrating stretched string has length 139 cm, mass 38 grams and is under a tension of 38 newtons. What is the frequency of its 5th overtone?
9. ### Physics

Organ pipe A, with both ends open, has a fundamental frequency of 225 Hz. The third harmonic of organ pipe B, with one end open, has the same frequency as the second harmonic of pipe A. How long are
10. ### physic

The string on a violin has a fundamental frequency of 150.0 Hz. The length of the vibrating portion is 36 cm and has a mass of 0.51 g. Under what tension (in newtons) must the string be placed?

More Similar Questions