All Problems

Elastic Waves. Acoustics.

Problem 4.173

A standing wave ξ=asin⁡kx⋅cos⁡ωt\xi=a \sin k x \cdot \cos \omega t is maintained in a homogeneous rod with cross-sectional area SS and density ρ\rho. Find the total mechanical energy confined between the sections corresponding to the adjacent displacement nodes.

Reveal Answer
W=1/4πSρω2a2/kW=1 / 4 \pi S \rho \omega^{2} a^{2} / k
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