1. The problem statement, all variables and given/known data
By what factor does the amplitude decay in the time interval (which I had to find).
E: stored energy
γ:damping rate
a: amplitude
t: time
Q: quality factor
T:Period
ω: frequency
2. Relevant equations
Q = 2∏E/(ΔE)
3. The attempt at a solution
I found the interval to be t=QT
but "one cycle" indicates T=2∏?
So I'm not exactly sure if I got the right answer for the quality factor by which the quality factor decays? I feel like there is supposed to be a numerical answer. Any insights? Did I mess up anywhere or took the wrong approach? Anything will help!
Thanks!
By what factor does the amplitude decay in the time interval (which I had to find).
E: stored energy
γ:damping rate
a: amplitude
t: time
Q: quality factor
T:Period
ω: frequency
2. Relevant equations
Q = 2∏E/(ΔE)
3. The attempt at a solution
I found the interval to be t=QT
but "one cycle" indicates T=2∏?
So I'm not exactly sure if I got the right answer for the quality factor by which the quality factor decays? I feel like there is supposed to be a numerical answer. Any insights? Did I mess up anywhere or took the wrong approach? Anything will help!
Thanks!
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