Lecture 7B HW_5 Assignment

Lecture 7B HW_5 Assignment - EEL 4930 Audio Engineering...

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EEL 4930 Audio Engineering Lecture 7 Homework 5, due #8 (Wednesday) 1. A 80 cm long tube is closed at one and open at the other. A stretched wire, fixed at both ends, is placed near the open end of the tube. The wire is 250 cm long and has a mass of 0.01 kg. When plucked, the wire’s vibration sets the air in the tube in oscillation at its fundamental frequency by resonance. Find (a) the frequency of oscillation of the air in the tube; (b) the tension of the wire. 2. Suppose a sound in air has SPL of 10 Pa RMS and a frequency of 1000 Hz. What is the SPL in dB? Calculate the wavelength ! , the period T , the frequency f in Hz, radian frequency " in radians per second, and the RMS values of the displacement # , the particle velocity u , and the pressure p . How much is the peak pressure amplitude as a fraction of the atmospheric pressure P 0 ? Also, find the intensity (power per unit area) = $ p 2 / Z 0 . 3. Consider a condenser microphone with the following parameters: stiffness s = 10 5 nt/m, plate separation h =100 μm, diaphragm radius r = 1.2 cm, mass m
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Lecture 7B HW_5 Assignment - EEL 4930 Audio Engineering...

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