A transverse wave travelling on a stretched string is represented by y(x,t)=0.04cos(4πx−200πt+3π), \text{where } x and y are in metres and t in seconds.
Answer the following questions.
(a) Part 1: (i) Identify the numerical values (with proper units) of amplitude, angular wave number, angular frequency and initial phase constant.
(b) Part 2: (ii) Calculate the wavelength, time–period, frequency and speed of the wave.
(c) Part 3: (iii) State clearly whether the wave propagates along the +x–direction or the −x–direction and give a brief reason for your answer.