A sinusoidal wave traveling in the negative x-direction (to the left) has an amplitude of , a wavelength of , and a frequency of . The transverse position of an element of the medium at , is , and the element has a positive velocity here.
We wish to find an expression for the wave function describing this wave.
(a) Sketch the wave at .
(b) Find the angular wavenumber k from the wavelength.
(c) Find the period T from the frequency.
(d) Find the angular frequency ()
(e) Find the wave speed ()
(f) From the information about t=0, find the phase constant ().
