Stringed instruments depend on standing waves to create their sounds. When I hit the high D string on a banjo, I set up a standing wave (the fundamental, mostly). If the banjo is correctly tuned, the 0.75 meter long string undergoes a complete oscillation (i.e. a vibration) once every 0.00169 seconds. frequency of d string =591.72 Hz wavelenth of d string =1.5 m speed of the wave on d string v =887.57 m/sec (a) If the speed of sound in air is 343 m/s, how far apart are successive crests of the sound waves that travel through the air out to your ears? (b) Draw a diagram of what the third harmonic on this string looks like. Label its nodes and antinodes. Determine its wavelength and frequency.
Stringed instruments depend on standing waves to create their sounds. When I hit the high D string on a banjo, I set up a standing wave (the fundamental, mostly). If the banjo is correctly tuned, the 0.75 meter long string undergoes a complete oscillation (i.e. a vibration) once every 0.00169 seconds.
frequency of d string =591.72 Hz
wavelenth of d string =1.5 m
speed of the wave on d string v =887.57 m/sec
(a) If the speed of sound in air is 343 m/s, how far apart are successive crests of the sound waves that travel through the air out to your ears?
(b) Draw a diagram of what the third harmonic on this string looks like. Label its nodes and antinodes. Determine its wavelength and frequency.
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