A small sphere of radius R is arranged to pulsate so that its radius varies in simple harmonic motion between a minimum of R - ΔR and a maximum of R + ΔR with frequency f- This produces sound waves in the surrounding air of density p and bulk modulus B.
(a) Find the intensity of sound waves at the surface of the sphere. (The amplitude of oscillation of the sphere is the same as that of the air at the surface of the sphere.)
(b) Find the total acoustic power radiated by the sphere.
(c)At a distance d » R from the center of the sphere, find the amplitude, pressure, amplitude, and intensity of the sound wave.