A sinusoidal wave traveling in the negative x-direction (to the left) has an amplitude of 20.0 cm, a wavelength of 35.0 cm, and a frequency of 12.0 Hz. The transverse position of an element of the medium at t=0, x=0 is y=-3.00 cm, 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 t=0.
(b) Find the angular wave number 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 ().
(g) Write the expression for the wave function y(x,t).
