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By Leo L. Beranek

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Example text

El ~ producto de y2 por la magnitud de p (x) es el valor de cresta de la función de presión Sonora sinusoidal en x. El ángulo de fase de p (T) -----­ es el desplazamiento de fase medido con respecto a alguna posicióu de' ~ " referencia. Por lo general, omítese la escritura de Re, aunque es preciso " tener siempre presente que hay que tomar sólo la parte real al usar h ~ expresión final para la presión sonora. En el esta,do estacionario, poI' lo t-anto, podemos reemplazar t1 y 12 en la Ec. 32) por una suma d(' funciones, rada una de las cuales tiene una frecuencia angular partiC'u- ~.

95): 1 = W 4"1trl = 1 4"1t(0,3)2 = 0,885 watt/m2 b. La presión sonora eficaz se obtiene con la Ec. e = "';0,885 X 407 = 18,97 newtons/m' 48 ACÚSTICA c. La velocidad eficaz de las partículas est' dada por la Ec. 93). kr = (21t = 5,46 X 1000 1344,8) (0,3) "'~ Iu,I =.!!.... poC kr = 18,97 "'1 + 29,8 ... 00474 I ' m 407. 5,46 I! d. El ángulo de fase 6 entre p, yu, se calcula a partir de la Ec. 64): O ... 90° - tg-1 kr ... 9{)0 - '19,6 0 ... 10,4° t. La densidad de energía está dada por la Ec. 84): Dmed = IPrl S ( poel 1 1) = 1,4360X 10.

1l = -jPo~ ctg kl' = jX. l'ayI MKS. 50) 34 ACÚSTICA donde X. 3l) Es decir, l' es la distancia entre un plano cualquiera x en la Fig. 3--, Y el extremo del tubo en l. j indica que para las frecuencias bajas, en las que cot kl' . :. , con respecto a la presión, en el tiempo, en 90°, y que la reactancia X. es negativa. x,t~ / / / /'1 = 3t .... /2) - - - - - - . - j // PIx,t)t '1 '" /" .... - - - ..... /= lI. ' ...... 4 /=0; T/2; T "-,,­ , 0---+~---------",~----~~~~~----~,~------~n=2 ~~ "" ~/ '" "­ "­ x=O ' .....

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