2) (2 pts) For air-filled pipes, the displacement of air is greatest at a(n) ( o

Question

2) (2 pts) For air-filled pipes, the displacement of air is greatest at a(n) ( open/closed end, but the pressure variation is maximum at a(n) ( ) open/closed end. 3) (2 pt) A violin string vibrates at a fundamental frequency of 440 Hz. On a particular instrument, the length of the string is 0.33 m. What is the speed of the waves? (hint: speed = frequency x wavelength) 4) (2 pt) (a) Write the frequencies of the first three harmonics of a 300 Hz square wave (2 pts) (b) If the amplitude of the fundamental is 1.00 A, then the amplitudes of the second and third harmonics are A, and 5) (3 pts) An open organ pipe (both ends open), Sm long, is operating in air at 20°C (speed 340 m/s). What are the fundamental (hint: frequency speed/wavelength) harmonic frequency and the second harmonic frequeney?

Explanation / Answer

2)

For air-filled pipes, the displacement of air is greatest at an open end, but the pressure variation is maximum at a closed end.

3)

L = ½ w, where L is length and w is wavelength.

Thus, w = 2L = 2*0.33 = 0.66m

f = 440 Hz

Thus,

v = fw = 440*0.66 = 290.4 m/s

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