Halliday, Resnick & Walker — Waves–I: Problem Problem_34

A sinusoidal wave of angular frequency \(1200 \text{ rad/s}\) and amplitude \(3.00 \text{ mm}\) is sent along a cord with linear density \(2.00 \text{ g/m}\) and tension \(1200 \text{ N}\). (a) What is the average rate at which energy is transported by the wave to the opposite end of the cord? (b) If, simultaneously, an identical wave travels along an adjacent, identical cord, what is the total average rate at which energy is transported to the opposite ends of the two cords by the waves? If, instead, those two waves are sent along the same cord simultaneously, what is the total average rate at which they transport energy when their phase difference is (c) \(0\), (d) \(0.4\pi \text{ rad}\), and (e) \(\pi \text{ rad}\)?