Question

A source of sound of frequency 500 Hz is producing longitudinal waves in air. The distance between the two successive rarefactions is 0.64 m and the amplitude of the air particles vibrating is 0.002 m. Calculate the displacement of a particle at 10 m distance from the origin at t = 2 s in the direction of the wave.

Answer 1

Given; n = 500Hz; λ = 0.64 m; α = 0.002 m
∴ υ = nλ = 500 × 0.64 = 5 × 64 = 320 m s^-1
Hence, the displacement equation of the longitudinal wave,