# Resonance and Q value

1. Oct 2, 2009

### LBloom

1. The problem statement, all variables and given/known data

The amplitude of a driven harmonic oscillator reaches a value of 25.0Fo /m at a resonant frequency of 380 Hz. What is Q?

2. Relevant equations

Q=m(wo)/b

Q=wo/($$\Delta$$w)

w=2$$\pi$$f

wo= (k/m)^1/2

w'=(w0^2-y^2)^.5

y=b/2m

3. The attempt at a solution

Honestly, I dont know where exactly to start. They tell me that the resonant frequency, but is that wo (natural angular frequency) or w' (the frequency when damping is considered.) Also, I dont know what they mean by amplitude is 25 Fo/m. Force divided by mass isnt in units of distance (although in the textbook its Fo/k which makes more sense, but its another edition)

In an older version of the textbook, everything is the same except the resonant frequency is 383 and the amplitude is 23.7 F0/k. Somehow the value of Q is also 23.7. Can anyone help me start/decipher this problem? I understand damped and forced oscillations, (this is the last qu) but i just cant wrap my head around it

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution