HW 3_ 2006 Fall - HW 3 Acoustics I Fall 2006 Due: October...

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HW 3 Acoustics I Fall 2006 Due: October 30 Problem 1 Derive the acoustic impedance of the Helmholz resonator. a Z Now this resonator is used as a side branch as shown in the figure. Derive the expression for T in terms of given parameters. Π Plot 10 1 10log TL T Π = as a function of frequency if the acoustic medium is standard air and for the range between 0 Hz to 2,000 Hz. 22 0.1 , 0.002 , 0.01 , 10 b Sm S m L m V == = = 3 3 m V L b b S S Figure 6: Helmholz resonator used as a side branch
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Problem 2: Expansion Muffler Modeled as a Low Pass Filter L S S 1 S Figure 7. An expansion chamber type reactive muffler The expansion type muffler shown in Figure 7 can be modeled as a side branch of a volume . 1 () LS S
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HW 3_ 2006 Fall - HW 3 Acoustics I Fall 2006 Due: October...

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