Determine the value of Q for each of the oscillators

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SUMMARY

The discussion focuses on determining the Q-value for oscillators based on measurements from a provided figure. The Q-value is defined as the ratio of the angular frequency (ω) to the bandwidth (Δω), or alternatively, the frequency (f) to the bandwidth (Δf). The key formula for calculating Q is Q = ω / Δω, which quantifies the energy loss of the oscillator per cycle. Participants are encouraged to utilize this formula to derive the Q-values from the given data.

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  • Familiarity with angular frequency and bandwidth concepts
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Homework Statement


http://dspace.jorum.ac.uk/xmlui/bitstream/handle/10949/1022/Items/T356_1_030i.jpg

Taking measurements from Figure 1, determine the value of Q for each of the oscillators represented. Explain how you obtained your answer. I haven't made an attempt as answering this as I'm unsure where to start. Any suggestions would be appreciated.

Homework Equations



The rate at which the mass–spring system loses energy to its surroundings is referred
to as the Q-value for the oscillator. The Q-value is defined as:

Q= 2π (E \ ΔE)

ΔE/E is the fractional energy loss per cycle of the oscillation

This can be expressed in terms of angular frequency as:

Q= (ω/ Δω)

or frequency as:

Q= ( f/ Δf)

where Δ ω and Δ f are the width of the peak at its halfway point.
 
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Hi Ryan. http://img96.imageshack.us/img96/5725/red5e5etimes5e5e45e5e25.gif

Ryan McDonald said:
Q can be expressed in terms of angular frequency as:

Q= (ω/ Δω)
This relation is what you'll use to estimate Q. Can you explain what it's saying?
 
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