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Sound power
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==Mathematical definition== Sound power, denoted ''P'', is defined by<ref>Landau & Lifshitz, "Fluid Mechanics", Course of Theoretical Physics, Vol. 6</ref> :<math>P = \mathbf f \cdot \mathbf v = Ap\, \mathbf u \cdot \mathbf v = Apv</math> where *'''f''' is the sound force of unit vector '''u'''; *'''v''' is the [[particle velocity]] of projection ''v'' along '''u'''; *''A'' is the area; *''p'' is the [[sound pressure]]. In a [[Transmission medium|medium]], the sound power is given by :<math>P = \frac{A p^2}{\rho c} \cos \theta,</math> where *''A'' is the area of the surface; *''ρ'' is the [[mass density]]; *''c'' is the [[sound velocity]]; *''θ'' is the angle between the direction of propagation of the sound and the normal to the surface. *''p'' is the [[sound pressure]]. For example, a sound at SPL = 85 dB or ''p'' = 0.356 Pa in air (''ρ'' = {{val|1.2|u=kg.m-3}} and ''c'' = {{val|343|u=m.s-1}}) through a surface of area ''A'' = {{val|1|u=m2}} normal to the direction of propagation (''θ'' = 0°) has a sound energy flux ''P'' = {{val|0.3|u=mW}}. This is the parameter one would be interested in when converting noise back into usable energy, along with any losses in the capturing device.
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