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Determine the value of Q for each of the oscillators

  1. Dec 17, 2014 #1
    1. The problem statement, all variables and given/known data
    http://dspace.jorum.ac.uk/xmlui/bitstream/handle/10949/1022/Items/T356_1_030i.jpg [Broken]

    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.

    2. Relevant 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.
     
    Last edited by a moderator: May 7, 2017
  2. jcsd
  3. Dec 18, 2014 #2

    NascentOxygen

    User Avatar

    Staff: Mentor

    Hi Ryan. http://img96.imageshack.us/img96/5725/red5e5etimes5e5e45e5e25.gif [Broken]

    This relation is what you'll use to estimate Q. Can you explain what it's saying?
     
    Last edited by a moderator: May 7, 2017
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