Acoustics is the science of sound and a branch of physics. Its scope extends beyond phenomena audible to humans and animals; it also encompasses infrasound (low-frequency sound) and ultrasound (high-frequency sound), both of which are considered sound even though they cannot be heard by the average person.
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Sound is a vibration that propagates as an acoustic wave through an elastic medium, which can be a gas or liquid. It travels in the form of longitudinal waves, consisting of alternating compressions and rarefactions in the medium.
The amplitude of a sound wave measures the wave's height. It refers to the loudness or the maximum displacement of vibrating particles of the medium from their mean position when sound is produced. Specifically, it is the distance between the crest or trough and the mean position of the wave.
Figure 1. Amplitude of a sinusoidal wave
Before discussing frequency, we first need to understand the period of sound. The period is the time taken for an event to repeat itself, which is termed periodic. The time taken for a particle to complete one full vibrational cycle is its time period.
Period = 1 / Frequency
Frequency, or the frequency of oscillation, is the number of cycles per second and is measured in hertz (Hz). It indicates how often the particles of a medium vibrate when a wave passes through it.
Frequency = 1 / Period
Figure 2. Period of a sinusoidal wave
The wavelength (λ) is a straightforward acoustic concept, defined as the distance from one peak to the next in a wave.
Wavelength = speed of sound / frequency
The wavelength of sound is inversely proportional to its frequency; higher frequencies correspond to shorter wavelengths.
Figure 3. Wavelength in air versus frequency under normal conditions
The speed at which acoustic waves propagate, known as acoustic velocity, depends on the medium. Generally, acoustic velocity (c) is given by the equation:
c = C
Here, C is a coefficient of stiffness (the bulk modulus), and ρ is the density in kg/m³. Acoustic velocity increases with the stiffness of the material and decreases with its density.
The decibel (dB) is the basic unit of sound level in acoustics. In this context, "level" refers to a quantity compared to a reference value. The decibel expresses the ratio of two quantities proportional to power. The formula to calculate the decibel level is:
dB = 10 log(P1 / P2)
In this equation, P2 is the power value being evaluated, while P1 is the reference power value. Decibels are used to quantify sound pressure levels, emitted sound power levels, and sound transmission. It is critical to note that decibels are dimensionless and always refer to a specific quantity related to the reference level.
Loudness is the characteristic of sound that determines the intensity of the auditory sensation it produces. The perception of loudness correlates roughly to the logarithm of sound intensity. When intensity is very low, sound is inaudible; conversely, if it is excessively high, it can be painful. The sound intensity threshold varies among individuals and depends on the frequency of the sound.
In conclusion, the discussed concepts are fundamental to understanding acoustics. This is the first part of a blog series on acoustic fundamentals, with the next installment focusing on sound propagation.
This brief introduction showcases that acoustics encompasses a diverse array of intriguing topics. While it's impossible to address all these subjects in a single handbook, we aim to provide a sampling of contemporary issues that represent ongoing acoustical research, both fundamental and applied.
Acoustics is defined as the science of sound. It explores sound production, propagation from source to receiver, and sound detection and perception. The term sound refers to both an auditory sensation received by the ear and the disturbance in a medium that produces this sensation. This distinction clarifies the philosophical question, "If a tree falls in a forest and no one is there to hear it, does it make a sound?"
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