Organ pipe A, with both ends open, has a fundamental frequency of 310 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 (a) pipe A and (b) pipe B? (Take the speed of sound to be 343 m/s.) (a) Number Units (b) Number Units
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- Part 1: Tube open at both ends A 2.57 m open ended pipe has two successive harmonics at 495 Hz & 550 Hz. Determine the fundamental frequency, the fundamental wavelength, the wave speed, and the air temperature. f₁ = λη Ξ V = T = Part 2: String fixed at both ends A copper cable of radius 0.6 cm is fixed at both ends and has a tension of 36,910 N. For this cable, the fifteenth harmonic has a frequency of 390 Hz. Determine the fundamental frequency, the fundamental wavelength, the wave speed, and the length of the cable. f₁ = 2₁ = V = L = Part 3: Tube closed at one end A 0.21 m pipe that is closed at one end emits a 2695 Hz wave that has a wavelength of 0.12 m. Determine what harmonic the wave the fundamental frequency, the fundamental wavelength, the wave speed, & the air temperature. n= f₁ = °C 2₁ = V = T = °CThe longest pipe on a certain organ is 3.74 m. (a) What is the frequency f7 (at 0.00°C) if the pipe is closed at one end? 22.125 Your response differs from the correct answer by more than 10%. Double check your calculations. Hz (b) What is the frequency f7 (at 0.00°C) if the pipe is open at each end? 44.251 Your response differs from the correct answer by more than 10%. Double check your calculations. Hz (c) What will be the frequencies f7 at 20.0°C? pipe frequency (Hz) 22.927 closed Your response differs from the correct answer by more than 10%. Double check your calculations. 45.855 open Your response differs from the correct answer by more than 10%. Double check your calculations.A guitar string has a mass per length of 2.33 x 10 kg/m and a tundamental frequency of 146.8 Hz when it is under a tonsion of 82 4N. The string breaks, and its owner has only a spare string of mass per length 6.61 x 10 kg/m.
- Suppose you want to build a musical instrument with a hollow pipe that is open at one end and closed at the other. You will make it oscillate by blowing air across one end. If it has length 0.2. What frequency will it resonate at in Hz? Assume the speed of sound in warm moist air is 340 m/s?Thank you! The fundamental frequency of an organ pipe, closed at one end, is 258.3 Hz. a) What should the length of this organ pipe be? Speed of sound in air at T= 20.0°C is 343 m/s b) What is the fundamental frequency of this organ pipe if the temperature drops to 5.20°C?Two adjacent natural frequencies of an organ pipe are determined to be 870 Hz and 986 Hz. (Assume the speed of sound is 343 m/s.) (a) Calculate the fundamental frequency of this pipe. Hz (b) Calculate the length of this pipe. m
- The ear canal can be thought of as a tube leading from the outer ear to the ear drum that is closed at one end. The typical length of an adult human ear canal is 2.5 cm. What is the fundamental resonant frequency of the ear canal? Assume the air inside it is at body temperature (37°C).The lowest frequency in the audible range is 20 Hz. What are the lengths of (a) the shortest open-open tube and (b) the shortest open-closed tube needed to produce this frequency?