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The speed of sound is the distance travelled per unit of time by a sound wave as it propagates through an elastic medium. More simply, the speed of sound is how fast vibrations travel. At 20 °C (68 °F), the speed of sound in air, is about 343 m/s (1,125 ft/s; 1,235 km/h; 767 mph; 667 kn), or 1 km in 2.91 s or one mile in 4.69 s.
The equation describes the evolution of acoustic pressure p or particle velocity u as a function of position x and time t. A simplified (scalar) form of the equation describes acoustic waves in only one spatial dimension, while a more general form describes waves in three dimensions.
p is the acoustic pressure in the medium; ρ is the volumetric mass density of the medium; c is the speed of the sound waves traveling in the medium; δ is the particle displacement; x is the space variable along the direction of propagation of the sound waves. This equation is valid both for fluids and solids. In fluids, ρc 2 = K (K stands ...
Once the speed of sound in the air was known, this allowed Kundt to calculate the speed of sound in the metal of the resonator rod. The length of the rod L was equal to a half wavelength of the sound in metal, and the distance between the piles of powder d was equal to a half wavelength of the sound in air. So the ratio of the two was equal to ...
Typically, the acoustic pressure is on the order of a few ppm of the equilibrium pressure. By extension, the acoustic approximation also guarantees that an acoustic wave travels at a speed exactly equal to the local speed of sound .
v = speed of sound, ρ = volume density of medium kg m −2 s −1 [M] [L] −2 [T] −1: Specific acoustic impedance z = S = surface area kg s −1 [M] [T] −1: Sound Level: β = | | dimensionless dimensionless
Sound pressure or acoustic pressure is the local pressure deviation from the ambient (average or equilibrium) atmospheric pressure, caused by a sound wave. In air, sound pressure can be measured using a microphone , and in water with a hydrophone .
Acoustic theory is a scientific field that relates to the description of sound waves.It derives from fluid dynamics.See acoustics for the engineering approach.. For sound waves of any magnitude of a disturbance in velocity, pressure, and density we have