The actual problem shows a graph however I can state all the information. The graph is of a sinusiodal waveform where the amplitude is decaying exponentially. The formula for the graph is given by the equation:
T = Ae^-Ktsin(wt + ø)
The question is to find A,K,w and ø
Being quite confident in sinusoidal waveforms I can tell you that:
w = 40 x pi or 125.66 (whichever tickles your fancy)
ø = -1.885
However im stuck with the A and K.
Assuming that the maximum peaks occur when sin(wt + ø) = 1 then:
0.23 = Ae^-K0.0275
0.08 = Ae^-K0.0775
I now have 2 points to solve simultaneously for A and K.
Heres my attempt:
0.23/0.08 = Ae^-K0.0275/Ae^-K0.0775
2.875 = e^-K0.5
K = (1/0.5) x ln(2.875) = 2.1121
When you plug this back into the two equations however you get two different answers for A and A is supposed to be a constant!! Can anyone see where im going wrong here?
Thanks in advance for any help.