(c) A stretched string, fixed at both ends by supports which are 0.4 m apart, vibrates with a fundamental frequency of 330 Hz. The amplitude at the antinode is 10 mm. (i) Find the frequencies corresponding to the 1st, 2nd and 3rd overtones. (ii) What length of "closed" organ pipe will produce the same fundamental frequency of the guitar as its second overtone? Take the speed of sound in air to be 340 m/s.

(c) A stretched string, fixed at both ends by supports which are 0.4 m apart, vibrates with a fundamental frequency of 330 Hz. The amplitude at the antinode is 10 mm. (i) Find the frequencies corresponding to the 1st, 2nd and 3rd overtones. (ii) What length of "closed" organ pipe will produce the same fundamental frequency of the guitar as its second overtone? Take the speed of sound in air to be 340 m/s.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

A violinist pulls a bow with a force of 0.6 N, at a speed of 0.5 m/s, playing an A tone, with a frequency of 440 Hz, which is perceived by a listener who is at a distance of 35 m with a volume of 60 dB. What is the efficiency of the conversion of mechanical energy into energy of sound?
A tuning fork with a frequency of 350 Hz is used to determine the resonance in a pipe open at both ends. a) If it is 15 ° C, calculate the length of the air column when in the third mode of resonance (3rd harmonic). b) Explain the difference if the tube, being the same length, had a closed end.
A sound wave of wavelength 40 cm travels in air. If the difference between the maximum and minimum pressures at a given point is 1'0 x 10 'N/m, find the amplitude of vibration of the particles of the medium. The bulk modulus of air is 1'4 x 10 N/m.
A sound wave traveling through water must vibrate approximately 1000 times more mass than one traveling through air, Calculate the ratio of the vibration amplitude of sound in air and that in water, assuming equal frequency and energy of vibration.
4) An organ pipe is open at one end and closed at the other. The pipe is designed to produce the note middle C (262 Hz). (a) How long is the pipe? (b) What is the frequency of the third harmonic? (c) How many nodes of the third harmonic are found inside the pipe? Do not count nodes that may be at the ends of the pipe. (Assume speed of sound is 343 m/s).
(a) At T=12oC, how long must an open organ pipe be to have a fundamental frequency of 300 Hz? (b) If this pipe is instead filled with helium at 20oC , what is its fundamental frequency?
A 1.6 m long string fixed at both ends vibrates at resonant frequency of 780 Hz and 1040 Hz, with no other resonant frequency between these values. The tension in the string is 1200 N. (a) Calculate the fundamental frequency of the string. (b) Calculate the mass of the string.
There is a horn which has to work at 20 kHz and its length is to be half the wave length of the vibration. At the transducer end, the horn has a cross section of 8×8 cm2 and from this cross section two of the sides exponentially reduce to 4 mm. The other two sides remains at 8 cm only. If the velocity of sound in the medium is 4800 m/s, find what is the length of the horn?
(a) Find the length of an organ pipe closed at one end that produces a fundamental frequency of 256 Hz when air temperature is 18.0C. (b) What is its fundamental frequency at 25.0C?