Centrifuge RCF Calculator
Convert between RPM and relative centrifugal force (×g), calculate k-factor and estimate sedimentation time.
Inputs
Results
RCF at rMax (×g)
1,006.2
RCF at rMin (×g)503.1
RCF ratio (max/min)2
k-factor19,485.1
RPM for 1,000 ×g2,991
Angular velocity (rad/s)314.16
Tip speed (m/s)31.42
Est. sedimentation time (min)15.2
Centripetal Accel Ms29,869.6
How to Use This Calculator
- Enter the centrifuge rotor radius in millimeters (from rotor specs or measured to sample midpoint).
- Input the desired RCF (relative centrifugal force) in xg from your protocol.
- Review the calculated RPM to set on your centrifuge.
- Alternatively, enter your RPM to back-calculate the RCF you are achieving.
- Always verify rotor max speed and confirm RCF is within safe limits before running.
How the result changes with Rotor speed (RPM)
| Rotor speed (RPM) | RCF at rMax (×g) |
|---|---|
| 20,000 | 44,720 |
| 70,000 | 547,820 |
| 130,000 | 1,889,420 |
| 180,000 | 3,622,320 |
What each input means
- Rotor speed (RPM)
- Rotational speed in revolutions per minute.
- Max rotor radius (cm)
- Distance from center of rotation to the bottom of the tube (rMax).
- Min rotor radius (cm)
- Distance from center of rotation to the top of the liquid (rMin).
- Particle diameter (μm)
- Diameter of particle to sediment, for time estimate (Stokes' law).
What each result means
- RCF at rMax (×g)
- Relative centrifugal force at maximum radius. RCF = 1.118×10⁻⁵ × r(cm) × RPM².
- RCF at rMin (×g)
- Relative centrifugal force at minimum radius (top of liquid).
- RCF ratio (max/min)
- Gradient of g-force across the tube. Closer to 1 is more uniform.
- k-factor
- Rotor clearing factor. Lower k = faster pelleting. k = 2.53×10¹¹ × ln(rMax/rMin) / RPM².
- RPM for 1,000 ×g
- RPM needed to achieve 1,000 ×g at the given max radius.
- Angular velocity (rad/s)
- Angular velocity: ω = 2π × RPM / 60.
- Tip speed (m/s)
- Linear speed at rotor tip. Most rotors are rated to ~100 m/s max.
- Est. sedimentation time (min)
- Estimated time to pellet particles (Stokes' law, assuming Δρ=0.1 g/cm³ in water at 20 °C).
How this is calculated
Worked example, using the default values
- Identify Input Parameters4 parametersRotor speed (RPM) = 3000, Max rotor radius (cm) = 10, Min rotor radius (cm) = 5, Particle diameter (μm) = 1 = 4 input(s) provided
- Calculate RCF at rMaxRCF at rMax = 1.118e-5 * rotorRadiusCm * rpm * rpm1006.2 = 1006.2
- Calculate RCF at rMinRCF at rMin = 1.118e-5 * rotorRadiusMinCm * rpm * rpm503.1 = 503.1
- Calculate RCF ratio2 = 2
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