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Calculating the torsion constant

  1. Apr 8, 2013 #1
    1. The problem statement, all variables and given/known data

    A thin metal disk with mass 2.00E-3kg and radius 2.20cm is attached at its center to a long fiber. The disk, when twisted and released, oscillates with a period of 1.00s. Find the torsion constant of the fiber.


    2. Relevant equations

    a) ω=sqrt(κ/I)
    b) f=1/(2π) sqrt(κ/I)
    where ω=angular frequency, κ=torsion constant, I=inertia, f=frequency


    3. The attempt at a solution

    Is the inertia of this thin disk simply 1/2 MR^2?
    Is the angular frequency 2π/1.00s?
    and do I simply plug in these variables into eqtn (a) to solve for κ?
     
  2. jcsd
  3. Apr 9, 2013 #2

    haruspex

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    Yes, yes and yes.
     
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