Calculating the torsion constant

  • #1

Homework Statement



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.


Homework Equations



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


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?
 

Answers and Replies

  • #2
haruspex
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Yes, yes and yes.
 

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