Moment of Inertia of a thin circular disc

The disc has uniform density. The mass of a slice (like a pizza)
of the disc is:

dm = (M/2pi) * dtheta

theta: the angle of the slice in radians
M: the mass of the disc

So to find the moment of inertia:

I = (Integral from 0 to 2pi)R^2 dm = M*R^2

That's incorrect, as the moment of inertia of a circular disc is

So what am I doing wrong?

Relevant Pages

  • Risc PCs for sale
    ... icubed network card - one UTP and one BNC connector ... _Machine 3_ - tries to boot up but an odd multi-soloured graphic appears on screen. ... Acorn desktop assembler installation disc, boot disc, work disc ...
  • Re: Preserving a slice through a fir
    ... A slice has been cut from the ... lower trunk and has been given to the village school. ... Several years ago I saved a disc of black cherry similar to ... What I tried was to wrap mechanics wire around the ...
  • Sol. 9 SMC - Creating extends and mirroring the root harddisc
    ... Add extents to slice 6 on Disc 1 in order to accomdate some Sybase ... Information Systems Group ...
  • Re: write large amount of data to CD-R media
    ... So, if I know that the particular file I'm looking for is on disc 6 (meaning slice 6?), then I can just pop disc 6 in and extract it? ... I did notice that the largest file in the folder must be smaller than the split size, which was OK for me, but may not be for you. ...
  • Re: Moment of Inertia of a thin circular disc
    ... the angle of the slice in radians ... the mass of the disc ... the little mass element all has to sit at a particular distance from ...