A high precision, reciprocating bob viscometer is shown that has two coils (A and B) encircling a reciprocating bob. Coil A is energized with a combined sinusoidal and DC signal, while coil B senses the position of the reciprocating bob, then the functions of coils A and B are reversed. By use of a large digitally-generated near resonance frequency sinusoidal signal, noise is reduced because there is no need for amplification. The sensed signal amplitude measurement is in the digital time domain instead of through analog amplitude measurements, which further eliminates signal noise. These advancements provide faster, highly accurate, low noise measurements of bob position and velocity to determine fluid/gas viscosity and related properties using a reciprocating bob viscometer. These related properties include measurements of density, shear sensitivity, yield stress, and other measurements described in prior art patents.