AnswersWT-1 a) L-/4, L=32/4, L=5/4, L=7N/4 b) 0.166m c) f-1,540HZ, fs-2,560HZ, f= 3,580HZWT-2 a)--- b) L=N4, L-32/4, L=52/4, L=7/4 c) fnV/4Ld) f,=114HZ, f-3431Hz, f=572H2, f=800HZ e) n=173, f-1.98x10ʻHz WT-2 A pipe closed at one end and open at the other has a length of 0.750m. Jiatai places a speaker producinga low sound frequency above the open end of the tube. He then increases the frequency slowly. Thepipe is in air at sea level.a) Draw the possible standing wave patterns for the sound waves in the tube starting with the lowestfrequency.lowest frequency fafofahighestopen endL=0.750mclosedendL=DL= 2b) Below each pattern write the tube-length-to-wavelength relationship for each pattern.c) Write the general symbolic relationship for the frequency of the n" harmonic, fn. Specify thepossible values for n.d) Put the known information into your equation and find the numerical value of the frequencies fa, f, fesand fg.e) Jiatai can hear frequencies up to 19,980HZ. What is the highest frequency of the highest harmonicthat Jiatai can hear from this tube and what is the harmonic number n of that harmonic?

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2 A pipe closed at one end and open at the other has a length of 0.750m. Jiatai places a speaker producing a low sound frequency above the open end of the tube. He then increases the frequency slowly. The pipe is in air at sea level. a) Draw the possible standing wave patterns for the sound waves in the tube starting with the lowest frequency. lowest frequency fa fo fo fa highest open end L=0.750m closed end L= 2 L= 2 L= 2 L= 2 b) Below each pattern write the tube-length-to-wavelength relationship for each pattern. c) Write the general symbolic relationship for the frequency of the nh harmonic, fn. Specify the possible values for n. d) Put the known information into your equation and find the numerical value of the frequencies fa, f, fe, and fg. e) Jiatai can hear frequencies up to 19,980HZ. What is the highest frequency of the highest harmonic that Jiatai can hear from this tube and what is the harmonic number n of that harmonic?

2 A pipe closed at one end and open at the other has a length of 0.750m. Jiatai places a speaker producing a low sound frequency above the open end of the tube. He then increases the frequency slowly. The pipe is in air at sea level. a) Draw the possible standing wave patterns for the sound waves in the tube starting with the lowest frequency. lowest frequency fa fo fo fa highest open end L=0.750m closed end L= 2 L= 2 L= 2 L= 2 b) Below each pattern write the tube-length-to-wavelength relationship for each pattern. c) Write the general symbolic relationship for the frequency of the nh harmonic, fn. Specify the possible values for n. d) Put the known information into your equation and find the numerical value of the frequencies fa, f, fe, and fg. e) Jiatai can hear frequencies up to 19,980HZ. What is the highest frequency of the highest harmonic that Jiatai can hear from this tube and what is the harmonic number n of that harmonic?