- #1

- 142

- 0

## Homework Statement

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.

## Homework Equations

[tex]\omega = 2\pif[/tex]

v=(lambda)(frequency)

[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]

Last edited: