WT-1 You are designing an air-filled tube that is closed at one end and open at the other to have a sound wave with a fundamental frequency of 512Hz in air at sea level. a) Sketch a figure like the one shown to the right and draw below the tube the fundamental mode of vibration and the next three harmonics. Beside each pattern, write the tube-length-to-wavelength relationship. b) Find the length needed for this tube. c) Find the frequency needed for each standing wave pattern you sketched. open closed Use vour results from aboue to find the frequencies: do not useeauatione from memow

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WT-1 a) L-/4, L=32/4, L=5/4, L=7N/4 b) 0.166m c) f-1,540HZ, fs-2,560HZ, f= 3,580HZ
WT-2 a)--- b) L=N4, L-32/4, L=52/4, L=7/4 c) fnV/4L
d) f,=114HZ, f-3431Hz, f=572H2, f=800HZ e) n=173, f-1.98x10ʻHz
Transcribed Image Text:Answers WT-1 a) L-/4, L=32/4, L=5/4, L=7N/4 b) 0.166m c) f-1,540HZ, fs-2,560HZ, f= 3,580HZ WT-2 a)--- b) L=N4, L-32/4, L=52/4, L=7/4 c) fnV/4L d) f,=114HZ, f-3431Hz, f=572H2, f=800HZ e) n=173, f-1.98x10ʻHz
Standing Waves in Air Columns, fixed length-
WT-1 You are designing an air-filled tube that is closed at
one end and open at the other to have a sound wave
with a fundamental frequency of 512HZ in air at sea level.
a) Sketch a figure like the one shown to the right and
draw below the tube the fundamental mode of
vibration and the next three harmonics. Beside each
pattern, write the tube-length-to-wavelength relationship.
b) Find the length needed for this tube.
c) Find the frequency needed for each standing wave pattem you sketched.
Use your results from above to find the frequencies; do not use equations from memory.
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Transcribed Image Text:Standing Waves in Air Columns, fixed length- WT-1 You are designing an air-filled tube that is closed at one end and open at the other to have a sound wave with a fundamental frequency of 512HZ in air at sea level. a) Sketch a figure like the one shown to the right and draw below the tube the fundamental mode of vibration and the next three harmonics. Beside each pattern, write the tube-length-to-wavelength relationship. b) Find the length needed for this tube. c) Find the frequency needed for each standing wave pattem you sketched. Use your results from above to find the frequencies; do not use equations from memory. open closed
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