Question

The displacement of the particle at x = 0 of a stretched string carrying a wave in the positive x– direction is given by f(t) = A sin (t / T). The wave speed is v. Write the wave equation.

Answer 1

Given, y = A sin (t / T)

To make the wave equation, t/T should be replaced by (t/T - x/vT), which now becomes the functions of x & T. Thus wave equations becomes