Problem: A transverse harmonic wave travels on a rope according to the following expression:y(x,t) = 0.12sin(2.1x + 17.6t)9) In what direction is the wave traveling?10) On the same rope, how would increasing the wavelength of the wave change the period of oscillation?

FREE Expert Solution

9)

For a wave moving in the positive x-direction:

$\mathbf{y}\mathbf{(}\mathbf{x}\mathbf{,}\mathbf{t}\mathbf{)}\mathbf{=}\mathbf{Asin}\mathbf{(}\mathbf{kx}\mathbf{-}\mathbf{\omega t}\mathbf{)}$