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Wave form problem

  • Thread starter luysion
  • Start date
  • #1
35
0

Homework Statement


Two buoys are floating in the sea, separated by 5 m. A wave with a wavelength of 15 m travels from left to right along the line between the buoys. The left-most buoy moves vertically up and down as described by the equation y=Acos(ωt). Which equation best describes the motion of the buoy on the right?

a) y = A cos (wt-pie/2)
b)y = A cos (wt + 90deg)
c) y = A cos (wt - 2pie/3)
d) y = A cos (wt- pie/4)
e) y = A cos (wt + pie/4)


Homework Equations





The Attempt at a Solution



I got my answer as C which is correct but I just guessed by finding the wavenumber and timsing it by 5.. i dont understand what x is in the cosine function for wave form exactly and i dont know how to solve this properly! cheers
 

Answers and Replies

  • #2
rl.bhat
Homework Helper
4,433
7
The general equation of a propagating wave is given by,
y = A*cos(2πt/Τ - 2πx/λ).
Here T is the period, λ is the wavelength and x is the distance where y is measured.
 

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