Travelling waves - help with formula

[FaraDazed]

Homework Statement

A wave has the mathmatical form y(x,t)=2sin(6t-0.5x)

1. What is the waves frequency, wavelength and velocity

2.Write an expression for the displacement of the wave as a function of time at a point 2m from the beginningof the wave.

Homework Equations

<br /> k=2\pi \lambda \\<br /> f=\frac{\omega}{2\pi} \\<br /> v=\lambda f <br />

The Attempt at a Solution

For question 1 I took 6 from the wave equation to be the angular velocity and k to be 0.5 so i did..

<br /> f=\frac{6}{2\pi}=0.95Hz \\<br /> \lambda=\frac{2\pi}{0.5}=4\pi metres \\<br /> v=\lambda f = 4\pi (0.95)=11.94 m/s<br />

For question 2 I am not too sure what the question is asking, if it is 2m from the start do I just plug 2 in for x in the wave equation given? to get 2sin(6t-1)?

Any help appreciated, thanks :)

 

[TSny]

You work looks good to me. I agree that the second question isn't worded very well. The phrase "from the beginning of the wave" is a little odd. But it seems reasonable to me to assume they mean from x = 0, in which case your expression is correct.