The longest pipe found in most medium-size pipe organs is 4.88 m (16 ft) long. What is the frequency of the note corresponding to the fundamental mode if the pipe is (a) open at both ends, (b) open at one end and closed at the other?
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The longest pipe found in most medium-size pipe organs is
4.88 m (16 ft) long. What is the frequency of the note corresponding to
the fundamental mode if the pipe is (a) open at both ends, (b) open at
one end and closed at the other?
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- 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.A string is stretched to a length of 396 cm and both ends are fixed. If the density of the string is 0.018 g/cm, and its tension is 257 N, what is the fundamental frequency? Answer in units of Hz.A string experiences several harmonic frequencies. Two successive frequencies are 325Hz and 390Hz. a) What is the fundamental frequency? b) What is the next harmonic higher than 195Hz? c) Which harmonic is this?
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- Problem 2: On a violin, the string with the smallest linear density (0.00042 kg/m) is the E5 string. The string produces a fundamental frequency (n = 1) of 659.3 Hz and has a length of 0.32 m between the two fixed ends. What is the tension in the string?The frequency of a musical note is 320 Hz. If an organ pipe is open at one end and closed at the other, what length must it have for its fundamental mode to produce this note? ☐ mPipe A is 2.6 m long and open at both ends. Pipe B is open at one end and closed at the other. Determine the length of pipe B so that it has the same fundamental frequency as A.