# 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:

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

###### Problem Details

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?