How to calculate centrifugal force
24 Mar,2025

The centrifugal force (FF) in a centrifuge can be calculated using the following formulas:

F=mrω2F = m \cdot r \cdot \omega^2

or

F=mv2rF = \frac{m \cdot v^2}{r}

where:

  • FF — Centrifugal force (unit: Newton, N)

  • mm — Mass of the rotating object (unit: kg)

  • rr — Radius of rotation, i.e., the distance from the rotation axis to the sample (unit: meters, m)

  • ω\omega — Angular velocity (unit: radians per second, rad/s)

  • vv — Linear velocity (unit: meters per second, m/s)

Angular Velocity Calculation:

ω=2πf=2πN60\omega = 2\pi f = \frac{2\pi N}{60}

where:

  • ff — Rotational frequency (unit: Hertz, Hz)

  • NN — Rotational speed (unit: revolutions per minute, RPM)

Relative Centrifugal Force (RCF):

Relative Centrifugal Force (RCF) is a commonly used measure of centrifugal force, expressed in multiples of gravitational acceleration (g):

RCF=1.118×105×r×N2RCF = 1.118 \times 10^{-5} \times r \times N^2

where:

  • RCFRCF — Relative Centrifugal Force (unit: g, multiples of gravitational acceleration)

  • rr — Centrifugal radius (unit: cm)

  • NN — Rotational speed (unit: RPM)


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