Need a little intuition on equation of travelling wave .

  • Thread starter nishantve1
  • Start date
  • #1
76
1

Main Question or Discussion Point

So heres the equation
y(x,t) = A cos (kx - wt)
where A is the amplitude of vibration and k = 2pi/lambda
i have already dealt with SHM or SHO and i completely understand the equations like
x = Acos(wt + phi)
but i didnt really dealt with waves and the equation of travelling wave is kinda difficult to understand so if someone could I dont know prove or explain how the equation works i would be really happy
thanks in advance
 

Answers and Replies

  • #2
HallsofIvy
Science Advisor
Homework Helper
41,770
911
Look at t= 0, x= 0. From that equation, y(0, 0)= A. Now suppose t is a little greater than 0. We can still get y(x, t)= A, as long as kx- wt= 0 which is the same as x= (w/k) t. That is, as long as we are "moving" at speed w/k. Choosing any other value of x with t= 0, we would get some other value of y, less than A, but we could get that same y value by keeping x= that original value of x plus (w/k)t. That is, if we were to move along the x-axis at speed w/k, we would always see exactly the same thing- we would be moving with the wave.
 

Related Threads for: Need a little intuition on equation of travelling wave .

Replies
10
Views
1K
  • Last Post
Replies
15
Views
2K
Replies
0
Views
1K
Replies
3
Views
553
Replies
3
Views
810
  • Last Post
Replies
3
Views
2K
  • Last Post
Replies
12
Views
1K
Replies
4
Views
586
Top