Transverse waves: 𝑦(𝑥, 𝑡) = 𝐴𝑐𝑜𝑠(𝑘𝑥 ∓ 𝜔𝑡)

Standing waves: 𝑦(𝑥, 𝑡) = 𝐴𝑆𝑊𝑠𝑖𝑛(𝑘𝑥)sin(𝜔𝑡)

Discuss the following terms and how they relate to wave motion:

𝑘 ∓ 𝑣 𝜆 𝜇 𝐹 𝑃𝑎𝑣𝑔 𝐴𝑆𝑊

A taut string is manipulated so that it exhibits transverse wave motion. The wave speed is 11 m/s, the

linear mass density of the string is 0.012 kg/m, and it oscillates with an amplitude of 0.48 mm. What

average power is transmitted along the string if the frequency is 408 Hz?