What am I doing wrong with finding the complex amplitude?

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SUMMARY

The discussion centers on finding the complex amplitude in a wave equation, specifically using the parameters of a wave with a frequency of 50 Hz. The user initially misapplied the angular frequency (w) instead of the wave speed (v) in their calculations. Upon realizing that the correct relationship is v = w/2π, they successfully derived the complex amplitude as 0.03 + 0.0175i, correcting their earlier errors in the displacement equation.

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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
 

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