Part of JWAVE-02 — Waves: Standing Waves, Beats & Doppler Effect

Power and Intensity in Waves

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Power transmitted by a wave on a string: P=12μω2A2vP = \frac{1}{2}\mu\omega^2A^2v. For sound waves, intensity I=P/Aarea=12ρvω2A2=p02/(2ρv)I = P/A_{\text{area}} = \frac{1}{2}\rho v\omega^2 A^2 = p_0^2/(2\rho v) where p0p_0 is pressure amplitude. The pressure and displacement are 90 degrees out of phase in a sound wave: pressure nodes coincide with displacement antinodes and vice versa. This distinction is important for standing waves in pipes.

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