How much is the radial vibration, if the signal measured on a DVM is 135.00mv AC?

The DVM measures the AC voltage in RMS (root mean square value).

AC peak to peak =135.00*2 root 2

=181.837mv

Eddy probe sensitivity=200mv/mill or 200mv/25.4 Microns

Hence, the vibration in Micron =(381.837*25.4)/200

= 48.49 Micron