An organ pipe is made to play a low note at 27.5 Hz, the same as the lowest note on a piano. Assuming a sound speed of 343 m/s, what length open-open pipe is needed? What length open-closed pipe would suffice?
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- 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 fundamental frequency of an open organ pipe corresponds to the note middle C (f = 261.6Hz). The third harmonic of another organ pipe that is closed at one end has the same frequency. Compare the lengths of these two pipes.The overall length of a piccolo is 34 cm.The resonating air column vibrates as in a pipe that is open at both ends. In this problem,the frequency of a “note” means the fundamental frequency of the standing waves in theair column. (a) Find the frequency of the lowest note a piccolo can play, assuming the speed of soundin air is 345 m/s.(b) Opening holes in the side effectively shortens the length of the resonant column. If thehighest note a piccolo can sound is 4200 Hz, find the effective length of the resonantcolumn.
- The overall length of a piccolo is 33.0 cm. The resonating air column is open at both ends. (a) Find the frequency of the lowest note a piccolo can sound. (Assume that the speed of sound in air is 343 m/s.) Hz (b) Opening holes in the side of a piccolo effectively shortens the length of the resonant column. Assume the highest note a piccolo can sound is 3 500 Hz. Find the distance between adjacent antinodes for this mode of vibration. mmA guitar player tunes the fundamental frequency of a guitar string to 300 Hz. (a) What will be the fundamental frequency if she then increases the tension in the string by 30%? (b) What will it be if, instead, she decreases the length along which the string oscillates by sliding her finger from the tuning key one-third of the way down the string toward the bridge at the lower end?The range of human hearing is roughly from 20 Hz to 20 kHz. Based on these limits and a value of 343 m/s for the speed of sound, what are the lengths of the longest and shortest pipes (open at both ends and producing sound at their fundamental frequencies) that you expect to find in a pipe organ?
- A very noisy chain saw operated by a tree surgeon emits a total acoustic power of 34.0 W uniformly in all directions. (A) At what distance from the source is the sound level equal to 110 dB? Express your answer in meters. (B) At what distance from the source is the sound level equal to 58 dB? Express your answer in kilometers.You are trying to design a musical instrument that consists of a pipe filled with air at 20oC, so that it produces two successive harmonics that have frequencies of 240 Hz and 280 Hz. The speed of sound in air at 20oC is 343 m/s. (a) Should the pipe be open at both ends, or closed at one end? Justify your response. (b) How long should the pipe be?You have an open-open pipe of adjustable length near a taut 60.0 cm, 5.0 gram guitar string which is under a tension of 300 N. You want to adjust the length of the tube so that when it produces a sound in its fundamental frequency, this sound is at the same frequency of the string’s vibration in its second harmonic. What should be the length of the pipe?
- If a human ear canal can be thought of as resembling an organ pipe, closed at one end, that resonates at a fundamental frequency of 3 000 Hz, what is the length of the canal? Use a normal body temperature of 37°C for your determination of the speed of sound in the canal.The shortest pipe in a particular organ is 1.07 m. (a) Determine the frequency (in Hz) of the third harmonic (at 0°C) if the pipe is closed at one end. Hz (b) Determine the frequency (in Hz) of the third harmonic (at 0°C) if the pipe is open at both ends. Hz (c) Determine these frequencies (in Hz) at 20.0°C. pipe frequency (Hz) closed openA washing machine has a sound intensity of 20 W/m?, determine its RMS sound pressure in Pa? a) b) The sound pressure of the noise emitted from a centrifugal compressor is 300 Pa, what is the resulting sound pressure level (dB)