In other words spin frequency is the overall measure of particle s energy. To calculate equivalent charge of the whole system, we assume charges q 1 and q 2 at the center of each ring as shown in Fig-2. Equivalent Mass Mass associated with energy is given by Since the energy E of the particle is we get equivalent mass of the particle as 6. Tip Velocity Total Energy of the particle comprises of the rest energy of the magnetic field of the rings plus the kinetic energy of the spin . The rest energy of the magnetic field is too small to be considered .
Main contribution is that of the kinetic energy .
Here we can see that velocity of two tips M and N is highest . So when the tip velocity u is very near to the velocity of light c , the kinetic energy of the tips becomes so high that the energy of other parts of the ring becomes insignificant . In other words mass of the particle is mainly concentrated in the two tips M and N . If E is the total energy and is the rest energy of the two tips then relativistic equation for the total energy of the tips become The ratio being very high, the value of u is almost equal to c . Size of Particle Since the tip velocity equals to the velocity of light c , and R is the diameter of the ring which is the radius of rotation and is the number of revolutions per second .