Looking for speed using the wave equation

  • #1
132
3

Homework Statement


phi(x,t) = A e *[-a(bx+ct)*2]
I'm trying to find the speed of the equation

Homework Equations


f(x+vt) +vt which means it is in the negative x-direction
f(x)= e^-ax^2
plugging in x'=x+vt
A e *[-a(bx+ct)*2]
where a= constant A= amplitude v=c= speed of light

The Attempt at a Solution


I know that is speed = w(angular frequency)/K
This issue that I am having is that I don't have any number besides c which is the speed of light
I know that I can use partial fractions [partial phi/ partial t]divided by [partial phi/ partial x] but I'm not allowed to use that way. What is another way I can solve this problem
 

Answers and Replies

  • #2
132
3
V=W/K
V=B/A
SINCE IT IS GOING IN THE -X DIRECTION
 
Last edited:
  • #3
rude man
Homework Helper
Insights Author
Gold Member
7,930
818
ANY function f(x + vt) is a wave traveling in the -x direction with speed v.
Consider: at t=x=0 the function is max = A. For t>0 what values of x maintain the value f=A?
 

Related Threads on Looking for speed using the wave equation

Replies
3
Views
10K
  • Last Post
Replies
7
Views
130K
  • Last Post
Replies
8
Views
561
  • Last Post
Replies
5
Views
1K
  • Last Post
Replies
3
Views
883
  • Last Post
Replies
1
Views
634
Replies
29
Views
883
Replies
0
Views
2K
Replies
10
Views
6K
Top