A sound pressure wave is represented by Δp = 0.02 sin(1000t−4x), with all quantities in SI units. If the speed of the sound wave is N m/s, find N.
Physics · Wave Motion · sound wave
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Question

A sound pressure wave is represented by Δp = 0.02 sin(1000t−4x), with all quantities in SI units. If the speed of the sound wave is N m/s, find N.

G1 Physics · Accepted Answer

Compare the phase with ωt−kx. Thus, ω = 1000 rad/s, k = 4 rad/m. The wave speed is v = ω/k = 1000/4 = 250 m/s. Hence, N = 250.