Wave motion is characterized by two velocities: the velocity with which the wave

Question

Wave motion is characterized by two velocities: the velocity with which the wave moves in the medium (e.g., air or a string) and the velocity of the medium (the air or the string itself). Consider a transverse wave traveling in a string. The mathematical form of the wave is y(x,t) = Asin(kx-wt) Part D Find the ratio of the y velocity of the string to the slope of the string calculated in the previous part. Express your answer as a suitable combination of some of the variables w, k, and v_p Part A v_p = w/k Part B v_y(x,t) = -Awcos(kt-wt) Part C dy(x,t)/dx = Akcos(kx-wt)

Explanation / Answer

y velocity can be obtained by differentiating wrt t v=(-A*w*cos(kx-wt)) slope is obtained by differentiaying wrt x slope =(A*k*cos(kx-wt)) ratio=(-w/k)

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