WT-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 f fo fa highest open end L=0.750m closed end L%3D L= 入 L= 入 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 n" harmonic, fn. Specify the possible values for n.

WT-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 f fo fa highest open end L=0.750m closed end L%3D L= 入 L= 入 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 n" harmonic, fn. Specify the possible values for n.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Interference of sound

Seiche

A seiche is an oscillating standing wave in a body of water. The term seiche pronounced saysh) can be understood by the sloshing of water back and forth in a swimming pool. The same phenomenon happens on a much larger scale in vast bodies of water including bays and lakes. A seizure can happen in any enclosed or semi-enclosed body of water.

Question

WT-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
fa
highest
open end
L=0.750m
closed
end
L%3D
L=
L=
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 n" 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 få.
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?
Answers
WT-1 a) L=/4, L=32J4, L=52/4, L=7/4 b) 0.166m
WT-2 a)--- b) L=N4, L-32/4, L=5/4, L=7/4 c) fn=nV/4L
c) f=1,540HZ, fs=2,560HZ, f;= 3,580HZ
d) f,=114Hz, f-343Hz, f=572H2, f-800HZ e) n=173, 1,98x10ʻHz

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WT-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 fa highest open end L=0.750m closed end L=D 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 n" 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, fes 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?
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