A transverse harmonic wave on a string is decribed 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 starting point ?
What is the least distance between two successive crests in the wave ?

Answer

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