Relative centrifugal force is the dimensionless ratio of the local centrifugal acceleration magnitude to the conventional gravitational reference . Despite its name, it is an acceleration ratio: the actual force on a specified mass is . With angular speed and rotor radius , . If is the numerical rotational speed in revolutions per minute and the numerical rotor radius in centimetres, unit conversion gives
Thus rpm alone does not specify the centrifugal acceleration.[ref]
Figure 1.
Relative centrifugal force for stipulated rotor radii and rotational speeds
. Original theoretical curves calculated from with . The rotor radii of , and are chosen examples, not specifications of real centrifuge rotors. The plotted range is not an instrument operating limit or a recommendation. Details.
For a stipulated , rotor radii of and give approximately and times . Doubling the rotor radius doubles relative centrifugal force; doubling rpm quadruples it. Even equal relative centrifugal forces do not guarantee equal separation: travel distance, elapsed time, viscosity, sample density and particle shape still matter. These are comparisons of a mathematical model, not instructions for running an instrument.
Rotor radius 2026-10-13
The rotor radius is the perpendicular distance from the rotation axis to a specified sample position, not the tube's length. A filled tube spans a range . Consequently, one rotational speed produces different local centrifugal accelerations along that range. A reported relative centrifugal force needs a stated reference position, such as the outermost sample radius.