A transverse harmonic wave on a string is described by `y(x,t) = 3.0 sin (36 t + 0.018x + pi//4)` where x and y are in cm and t in s. The positive direction of x is from left to right
(a) Is this a travelling wave or a stationary wave?
If it is travelling what are the speed and direction of its propagation?
(b) What are its amplitude and frequency?
(c ) What is the initial phase at the origin ?
(d) What is the least distance between two successive crests in the wave?

Explanation

(a) A travelling wave. It travels from right to left with a speed of `20 ms^(-1)`
(b) 3.0cm, 5.7Hz
(c ) `pi//4`
(d) 3.5m