A harmonic wave on a stretched string is represented by the equation
y(x,t)=0.015msin(40πx−200πt+π/6),
where x and y are in metres and t is in seconds.
(i) Explain the physical significance of each numerical coefficient appearing in the argument of the sine function.
(ii) Using these coefficients, calculate the wavelength and the frequency of the wave.
(iii) State, with proper reasoning, the direction in which the wave propagates along the x-axis.