A transverse progressive wave travelling on a stretched string is represented by
y(x,t)=0.02sin(4πx+200πt+6π)
where x and y are in metres and t is in seconds.
(i) Identify the numerical values of amplitude A, wave number k, angular frequency ω and initial phase ϕ from the given equation.
(ii) Calculate the wavelength λ, frequency f and time–period T of the wave.
(iii) State the direction in which the wave propagates and give a brief justification based on the equation.
(iv) Determine the speed v with which the disturbance travels along the string.
(v) Find the maximum transverse velocity and the maximum transverse acceleration of any particle of the string.