- v (0,0) = - 0.05m x 10- sin (0) = 0 Problem 4 A wave on a string is described by the function y (x, t) = 0.05m sin ( 3 fad x - 5-adt ), determine: a) What is the frequency of the wave. rad w = 2nf - f=. S = 0.796Hz 2 n b) What is the wavelength of the wave. 2n 2n k = - - 1= = 2.094m k 3 rad m c) What is the velocity of propagation of the wave. v = f1 = 0.796Hz x 2.094m = 1.667 m d) Is the wave moving in the +x- or in the -x-direction? Because of the negative sign in the time argument (-50adt) of y (x, t), the wave is moving in the +x-direction. e) A time zero, what is the velocity of the piece of string situated at x=1/2? v ( x , 1 ) = ] (y (x,t)) = - 0.05m sin (3 zad x - 5 Dad t v (x, t) = 0.05m x (-5- ) cos (3 rad x - 5 rad () - v(20) =0.05m x (-54) cos (3 rad 2.094m m = - 0.25- x (-1) = 0.25 m 2