The fundamental frequency of an open organ pipe corresponds to middle C (261.6 Hz on the chromatic musical scale). The third resonance of a closed organ pipe has the same frequency. What is the length of (a) the open pipe and (b) the closed pipe?
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The fundamental frequency of an open organ pipe corresponds to middle C (261.6 Hz on the chromatic musical scale). The third resonance of a closed organ pipe has the same frequency. What is the length of (a) the open pipe and (b) the closed pipe?
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- The steel string of a string instrument is 62 cm long and 0.26 mm thick. a) With how much force must the string be tensioned so that the frequency of its fundamental note (1st harmonic) would be 440 Hz? b) How big is the exciting force in the case that 440 Hz is indeed the 1st overfrequency (2nd harmonic)?A string is fixed at both ends and is vibrating at 136 Hz, which is its third harmonic frequency. The linear density of thestring is 5.50 x 10-3 kg/m, and it is under a tension of 2.9 N. Determine the length of the string.A stretched string fixed at each end has a mass of 40.0g and a length of 8.00m. The tension in the string is 49.0N. (a) Determine the positions of the nodes and antinodes for the third harmonic. (b) What is the vibration frequency for this harmonic?
- The D-string on a properly tuned guitar produces a tone with a fundamental frequency of 146.8 Hz. The oscillating length of a D-string on a certain guitar is 0.64 m. This same length of string is weighed and found have a mass of 1.5×10-3 kg. Part (a) At what tension, in newtons, must the D-string must be stretched in order for it to be properly tuned? Part (b) What is the wavelength, in meters, of the standing wave in the D-string when it is oscillating at its third harmonic (also called its second overtone)? Part (c) Determine the frequency, in hertz, of the third harmonic of the tone produced by the properly tuned D-string. Part (d) The guitarist shortens the oscillating length of the properly tuned D-string by 0.15 m by pressing on the string with a finger. What is the fundamental frequency, in hertz, of the new tone that is produced when the string is plucked?Length of string of a musical instrument is varied from Lo to 2Lo in 4 different cases. Wire is made of different materials of mass per unit length μ, 2μ, 3μ, 4μ respectively. For first case (string – 1) length is Lo, Tension is To then fundamental frequency is fo, for second case length of the string is 3L0/2 (3rd Harmonic), for third case length of the string is 5L0/4 (5th Harmonic) and for the fourth case length of the string is 7L0/4 (14th harmonic). If frequency of all is same then tension in strings in terms of To will be?A pipe from an organ is open at one end and closed at the other. The pipe is designed to produce the middle note C (frequency = 132 Hz) as its fundamental frequency. [speed of sound = 340 m/s] (a) How long is the pipe? (b) What is the frequency of the 3rd harmonic? (c) For the 3rd harmonic, how many nodes are found inside the pipe?
- The windpipe of one typical whooping crane is 5.5 feet long. What is the fundamental resonant frequency of the bird's trachea, modeled as a narrow pipe closed at one end? (Assume a temperature of 34°C.)A guitar string is designed to have the following properties: Force of tension = 70 N (when properly installed on a guitar) Mass = 8 kg Length = 0.65 m Recall that the speed of sound on a string is given by: Where v is the speed of sound, F is the force of tension, m is the mass of the string, and l is the length. What is the frequency of the second harmonic on this guitar string?A steel wire in a piano has a length of 0.520 m and a mass of 4.600 x 103 kg. To what tension must this wire be stretched so that the fundamental vibration corresponds to middle C (f. = 261.6 Hz on the chromatic musical scale)? Need Help? Read It
- The tension in a nylon monofilament fixed at both ends is 23.0 N. The mass per unit length is 5.00 x 10-3 kg/m, and its length is 37.0 cm. (a) What is the fundamental frequency (in Hz)? Hz (b) What are the next three frequencies (in Hz) that could result in standing wave patterns? List them smallest to largest. second harmonic Hz third harmonic Hz fourth harmonic Hz Need Help? Read ItConsecutive resonances occur at wavelengths of 8.00 m and 4.80 m in an organ pipe closed at one end. What is the length of the organ pipe? Explain your reasoning.How long is this column of air if v = 354 m/s?