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. For the standing waves on the open D string, find: (a) The frequency. (b) The wavelength. (c) The speed of the waves on the D string.
Properties of sound
A sound wave is a mechanical wave (or mechanical vibration) that transit through media such as gas (air), liquid (water), and solid (wood).
Quality Of Sound
A sound or a sound wave is defined as the energy produced due to the vibrations of particles in a medium. When any medium produces a disturbance or vibrations, it causes a movement in the air particles which produces sound waves. Molecules in the air vibrate about a certain average position and create compressions and rarefactions. This is called pitch which is defined as the frequency of sound. The frequency is defined as the number of oscillations in pressure per second.
Categories of Sound Wave
People perceive sound in different ways, like a medico student takes sound as vibration produced by objects reaching the human eardrum. A physicist perceives sound as vibration produced by an object, which produces disturbances in nearby air molecules that travel further. Both of them describe it as vibration generated by an object, the difference is one talks about how it is received and other deals with how it travels and propagates across various mediums.
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. For the standing waves on the open D string, find:
(a) The frequency.
(b) The wavelength.
(c) The speed of the waves on the D string.
(d) 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?
(e) 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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