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The phase velocity rises less and less quickly and converges towards the Rayleigh wave velocity in the high frequency limit. The group velocity passes through a maximum, a little faster than the shear wave velocity, when the wavelength is approximately equal to the plate thickness. It then converges, from above, to the Rayleigh wave velocity in ...
If the wave is a sound wave and the sound source is moving faster than the speed of sound, the resulting shock wave creates a sonic boom. Lord Rayleigh predicted the following effect in his classic book on sound: if the observer were moving from the (stationary) source at twice the speed of sound, a musical piece previously emitted by that ...
In musical notation, the different vertical positions of notes indicate different pitches. Play top: Play bottom: Pitch is a perceptual property that allows sounds to be ordered on a frequency-related scale, [1] or more commonly, pitch is the quality that makes it possible to judge sounds as "higher" and "lower" in the sense associated with musical melodies. [2]
It is the property of sound that most determines pitch. [1] The generally accepted standard hearing range for humans is 20 to 20,000 Hz. [2] [3] [4] In air at atmospheric pressure, these represent sound waves with wavelengths of 17 metres (56 ft) to 1.7 centimetres (0.67 in).
The volley theory was explained in depth in Ernest Wever's 1949 book, Theory of Hearing [2] Groups of neurons in the cochlea individually fire at subharmonic frequencies of a sound being heard and collectively phase-lock to match the total frequencies of the sound. The reason for this is that neurons can only fire at a maximum of about 500 Hz ...
A vibration in a string is a wave. Resonance causes a vibrating string to produce a sound with constant frequency, i.e. constant pitch. If the length or tension of the string is correctly adjusted, the sound produced is a musical tone. Vibrating strings are the basis of string instruments such as guitars, cellos, and pianos.
where is the speed of the wave, the fundamental frequency can be found in terms of the speed of the wave and the length of the pipe: f 0 = v 4 L {\displaystyle f_{0}={\frac {v}{4L}}} If the ends of the same pipe are now both closed or both opened, the wavelength of the fundamental harmonic becomes 2 L {\displaystyle 2L} .
The phase velocity varies with frequency. The phase velocity is the rate at which the phase of the wave propagates in space. The group velocity is the rate at which the wave envelope, i.e. the changes in amplitude, propagates. The wave envelope is the profile of the wave amplitudes; all transverse displacements are bound by the envelope profile.