A sinusoidal wave traveling in the -x direction (to the left) has an amplitude of 20.0 cm, a wavelength of 29.0 cm, and a frequency of 15.0 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.
Write an expression for the wave function y(x,t), where y and x are expressed in cm, and t is expressed in seconds.
[tex]\omega = 2\pif[/tex]
[tex] k = 2\pi/\lambda[/tex]
[tex] y(x,t) = Asin[\left(2\pi/\lambda\right)(x - vt)][/tex]
The Attempt at a Solution
We are given the fact that:
[tex]A = 20.0cm[/tex]
[tex]\lambda = 29cm[/tex]
[tex] v = (lambda)(frequency) = 435cm/s[/tex]
I think the answer is the following, but I am not sure, and I only have one more submission left, so I want to be sure.
[tex] y(x,t) = -20.0cos[.217(x-435t)][/tex]