Question

Review The production of sound during speech or singing is a complicated process. Lets concentrate on the mouth. A typical depth for the human mouth is about 7.6 cm, although this number can vary (Check it against your own mouth). We can model the mouth as an organ pipe that is open at the back of the throat Part A What are the wavelengths of the first four harmonics you can produce if your mouth is open? Express your answers in centimeters separated by commas. You may want to review (Page) For related problem-soving tips and strategies, you may want to view a Video Tutor Solution of Harmonics of an organ pipe. |Vα ΑΣφ , Aa, As, A CIm. Submit RequestAnswer Part B What are the frequencies of the first four harmonics you can produce if your mouth is open? Use 354 m/s for the speed of sound Express youur answer in hertz separated by commas. να ΑΣφ На Bequest Answer Submit Part C What are the wavelengths of the first four harmonics you can produce if your mouth is dosed? 9HAOre in 4entimmadereem

Answer 1

a)

for Lambda 1

0.5 * lambda 1 = L

lambda 1 = 2* 7.6 = 15.2m

for lambda 2

lambda 2 = 7.6 m

for lambda 3

1.5*lambda3 = 7.6

lambda 3 = 5.07 m

for lambda4

2 lambda 4 = 7.6

lamnda4 = 3.8 m

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b)

f1 = c / lambda 1 = 2328.95 Hz

f2 = c/ lambda 2 = 4657.89 Hz

f3 = c/ lambda 3 = 6982.25 Hz

f4 = c/ lambda 4 = 9315.89 Hz

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c)

organ pipe with one end closed

lambda 1/4 = L

lambda 1 = 7.6* 4 = 30.4 cm

(3/4) lambda 2 = 7.6

lambda 2 = 10.133 cm

(5/4) lambda 3 = 7.6

lambda 3 = 6.08 cm

(7/4) lambda 4 = 7.6

lambda = 4.343 cm

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