What am I doing wrong with finding the complex amplitude?

  • Thread starter Thread starter skywo1f
  • Start date Start date
  • Tags Tags
    Amplitude Complex
AI Thread Summary
The discussion revolves around finding the complex amplitude in a wave equation given specific displacement values at certain times. The user initially used the wrong frequency value, confusing angular frequency (w) with wave speed (v). After attempting to solve the equation for displacement at two different times, they realized their mistake in the calculations. The correct approach involved converting the wave speed to angular frequency using the formula v = w/2π. Ultimately, the user resolved the issue and clarified their understanding of the relationship between frequency and wave speed.
skywo1f
Messages
6
Reaction score
0

Homework Statement


i got to find the complex amplitude
i know that w = 50Hz
displacement was 30mm at time 0
and -14mm at time 12ms



Homework Equations



(displacement) = Acos(phase constant)cos(wt) - Asin(phase constant)sin(wt)

The Attempt at a Solution


so I've tried plugging things into the expanded wave equation
and just plugging things in for t = 0
which gives me the correct answer Acos(phase constant) = .03 at time 0
but when i try the second time to get the sin phase constant, it gives me .068
but my answer is supposed to be
.03 +.0175 i
what am i doing wrong?
which equation could i use?
any help would be appreciated
 
Physics news on Phys.org
nvm figured it out
i was using 50 hz as my w
but really its my v
and i had to convert it with v = w/2pi
 
Thread 'Help with Time-Independent Perturbation Theory "Good" States Proof'
(Disclaimer: this is not a HW question. I am self-studying, and this felt like the type of question I've seen in this forum. If there is somewhere better for me to share this doubt, please let me know and I'll transfer it right away.) I am currently reviewing Chapter 7 of Introduction to QM by Griffiths. I have been stuck for an hour or so trying to understand the last paragraph of this proof (pls check the attached file). It claims that we can express Ψ_{γ}(0) as a linear combination of...
Back
Top