Generalized Formula for Relativistic Kinetic Energy of Spinning Rotor

Hi Jorrie;

I was wondering if you could provide me the general formula for the relativistic kinetic energy of a spinning rotor.

The rotor is unspecified as to its moment of inertia and so a general formula for K.E.rel(I,omega,v) or for relativistic kinetic energy as a function of angular rotational velocity, moment of inertia, and outer rotational velocity would be of great help.

I assume that the correct abstraction is simply E = (1/2)I(Omega EXP 2)(gamma) = (1/2)I(Omega EXP 2){1/{1 - [(v/C) EXP 2]}EXP (1/2)} where Omega is the angular velocity of the rotor, I is the rotor's moment of inertia, and v is the outer radial velocity of the rotor.

Note that I could not find this information in your book "Relativity 4 Engineers With Cosmology", however if you can provide an answer to my question, that would be a great help and greatly appreciated.

If my solution as above is correct, please let me know. I can compute the relativistic rotational kinetic energies of specific rotor types ones I have the proper general formula.

Regards;

Jim