November 29th, 2009

Mhz Ultrasonic
Oscilación y amplitud?

Un transductor de ultrasonido, del tipo utilizado en imágenes de ultrasonido médico, es un disco muy delgados (m = 0,10 g), impulsado hacia atrás y adelante en MAS a 1,0 MHz por una bobina electromagnética. La fuerza máxima de la restauración que se pueden aplicar en el disco sin romperlo es de 40.000 N. ¿Cuál es la amplitud de la oscilación máxima que no se rompa el disco? ¿Cuál es la velocidad máxima del disco en esta amplitud?

Podría haber una forma más directa de resolver este problema … pero este método se ve bien para mí: Que h (t), la posición del disco en el tiempo t. Podemos suponer: h (t) = Acos (* 2PI f * t) donde F es la frecuencia. A continuación, la aceleración del disco es:''h (t) = A * * 2PI 2PI * f * f * cos (f * t * 2PI) F = ma, por lo que la fuerza sobre el disco necesario para crear esta aceleración es: F (t) = (0.0001) * A * 4 * PI * f ^ 2 ^ 2 * Cos (2 * PI * t * f) el valor máximo del coseno = 1, max vigor en lo que es F_max = (0.0001) * A * 4 * PI * f ^ 2 ^ 2. Conocemos f = 1000000 para F_max = 100.000.000 * A * 4 * PI ^ 2 Establezca esta igual al máximo permitido vigor y resolver para A.

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