- #1
Eric_meyers
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Homework Statement
"Systems typically exhibit an exponential decrease in their average stored energy of the form <E> = E[tex]_{0}[/tex] e^(-vt) ---- If a piano key of frequency 256 Hz is struck and its oscillation energy decreases to one half of its initial value in about 1 second what is the effective Qf of the system?
Homework Equations
Qf = w/v
<E> = E[tex]_{0}[/tex] e^(-vt)
The Attempt at a Solution
I need to find the energy dissipated and from the equation they gave me I put 1/2 (the energy the system has from its initial value after 1 second)
1/2 = e^(-v)
v = .693
Qf = 256/.693 = 369
I'm not quite sure if I did the dissipation energy equation correctly.