- #1
dwn
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Homework Statement
A transverse wave travels on a string whose mass density is kg/m.
The displacement (in meters) is given as a function of time and position as:
D(x,t) = 1.5sin(3x-24t+90°)
What is the velocity and direction of the wave?
What is the speed of the particle located at x=8 and t=1?
Homework Equations
Derivatives of the former.
[tex]∂^2D/∂t^2=v^2(∂^2D/∂x^2)[/tex]
The Attempt at a Solution
I took the partial derivatives with respect to both x and t. Applied them to the wave equation. But I don't understand how I'm supposed to get any figures to answer the questions above.
[tex]v=sqrt(-864sin(-24t)/(-13.5sin(3x))[/tex] ----> not sure what I do after this point.