. c -East Cental University-PH, w East Central University- PHYS Print Calculator
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. c -East Cental University-PH, w East Central University- PHYS Print Calculator -d Periodic Table n 8 of 12 nstax College Physics presented by Sapling Leaning A crude approximation of voice production is to consider the breathing passages and mouth to be a resonating tube closed at one end. What is the fundamental frequency if the tube is 0.200 m long, by taking air temperature to be 37.0°C? Number Hz What would this frequency become if the person's breathing passage was filled with carbon dioxide instead of air? Assume the same temperature dependence for carbon dioxide as for air Number HzExplanation / Answer
(a)
speed of sound at temperature 37 C is
v = 331 + 0.6 T = 331 + 0.6 ( 37) = 353.2 m/s
frequency f = v/ 4L = 353.2 m/s/ 4 (0.2) = 441.5 Hz
(b)
from the above eqution it is clear that
frequenc is proportional to speed of sound in substance
speed of sound in Co2 is at 37 degree C is
v = vo sqrt 273+37/273
= 259 sqrt 310/273
=275.99 m/s
f' = v/ 4L = 275.99/ 4(0.2) = 344.99 Hz
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