A few years back, in my spare time, I had attempted to calculate the relativistic mass of a rotating disc as measured by a reference frame fixed at its center.

I used only equations of special relativity, since the observer was at rest.

I obtained the following: If the disc has a rest mass of M0 and radius R, then the highest angular speed 'w' attainable is given by 'wR=c'. Also, at this rotational speed, the relativistic mass of the disc is 2M0. The rim of the disc can actually travel with a speed equal to c!! However now, I am a little sceptical about the simplicity of my calculations.

Does anyone in this group know about any relevant publication?