The wave function of a standing wave is y(x, t) = 4.44 mm sin[(32.5 rad/m)x] sin [(754 rad/s)t]. For the two traveling waves that make up this standing wave, find the (a) amplitude; (b) wavelength; (c) frequency; (d) wave speed; (e) wave functions. (f) From the information given, can you determine which harmonic this is? Explain.

Solution 44E Step 1: The standard equation for the standing wave, y (x,t) = A sin(kx) sin (t) Where, A - Amplitude of the wave k - Wave vector x -displacement for the wave - Angular velocity of the wave t - Time The wave vector, k = 2 / Where, - Wavelength of the wave The angular velocity of the wave, = 2f Where, f - frequency of the wave