Converting RPM to G-force in Centrifugation
RPM to G-Force (RCF) Conversion: Formula, Calculator Method and Common Errors
A protocol that says “spin at 3,000 rpm” is incomplete, because the force a sample experiences depends on the rotor radius as well as the speed. Relative centrifugal force is the reproducible quantity, and converting between the two takes one formula in each direction. This guide covers both, the radius question that causes most errors, a ready-reference table, and why protocols should specify ×g rather than rpm.
Browse sample prep reagents →Key takeaways
- RCF = 1.118 × 10−5 × r × N2, where r is the rotor radius in centimetres and N is speed in rpm.
- To go the other way: N = √( RCF ÷ (1.118 × 10−5 × r) ). This is the direction most people actually need, since protocols specify ×g.
- The constant is fixed physics. It does not vary between centrifuge models — what varies is the rotor radius, and that is why the same rpm gives different forces on different machines.
- Radius matters more than most people expect: RCF scales linearly with r, so a rotor twice the radius doubles the force at identical rpm.
- Speed matters even more: RCF scales with the square of rpm, so doubling the speed quadruples the force.
- Use rmax for pelleting unless a protocol states otherwise, and record which radius you used — rmin and rmax can differ by a factor of two in the same rotor.
- Always publish and follow protocols in ×g, not rpm, or the method cannot be reproduced on different equipment.
Reagents for spin-based sample prep
Centrifugation is a step rather than an endpoint. The reagents below cover the workflows where the spin settings above matter most — lysate clarification, exosome isolation and post-spin quantification.

GenieLyse RIPA Lysis Buffer
Lysates need a clarifying spin to pellet debris before assay — typically a high-speed, short, cold step.
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Exosome Isolation Kit (Precipitation)
A polymer-based alternative to differential ultracentrifugation, using standard benchtop speeds.
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Exosome Isolation Affinity Purification
Affinity capture where ultracentrifuge access is limited or higher purity is needed.
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Bradford Protein Assay
Quantifies protein in the clarified supernatant; incompatible with detergents above their limits.
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Total Protein Assay Kit
An alternative total protein readout for normalising downstream assays after clarification.
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Propidium Iodide Staining Solution
Checks viability after processing — excessive g-force damages cells and shows up here.
View product →Why rpm alone is not enough
Revolutions per minute describes how fast the rotor turns. It says nothing about the force acting on the sample, because that depends on how far the sample sits from the axis of rotation.
Two centrifuges running at an identical 5,000 rpm will subject samples to quite different forces if their rotors differ in size. A protocol written as “5,000 rpm for 10 minutes” is therefore not reproducible on other equipment, whereas “3,000 × g for 10 minutes” is. Relative centrifugal force is expressed as a multiple of Earth’s gravitational acceleration, which is why it is written ×g and carries no other units.
The conversion formula
To convert speed into force:
RCF = 1.118 × 10−5 × r × N2
- RCF is relative centrifugal force, in ×g.
- r is the rotational radius in centimetres — the commonest single mistake is entering millimetres or inches.
- N is rotor speed in revolutions per minute.
If the radius is measured in millimetres instead, the constant becomes 1.118 × 10−6. The two forms are equivalent; mixing them produces an answer wrong by a factor of ten.
The constant itself is derived from physics — it packages the conversion between angular velocity in rpm and acceleration relative to g. It is the same for every centrifuge ever made. If a manufacturer’s documentation appears to give a different conversion, it is quoting a value for a specific rotor radius, not a different constant.
Converting g-force back to rpm
This is the direction most often needed, because protocols specify ×g while many centrifuge dials are set in rpm. Rearranging gives:
N = √( RCF ÷ (1.118 × 10−5 × r) )
In practice: divide the required RCF by the constant multiplied by your rotor radius in centimetres, then take the square root. Because of that square root, a modest change in required force translates into a smaller change in rpm — quadrupling the force needs only a doubling of speed.
Worked examples
Speed to force
A rotor of radius 10 cm running at 10,000 rpm:
- RCF = 1.118 × 10−5 × 10 × 10,0002
- = 1.118 × 10−5 × 10 × 1 × 108
- = 11,180 × g
Force to speed
A protocol requires 3,000 × g and your rotor radius is 8 cm:
- N = √( 3,000 ÷ (1.118 × 10−5 × 8) )
- = √( 3,000 ÷ 8.944 × 10−5 )
- = √( 33,542,000 ) ≈ 5,792 rpm
Round to a setting your centrifuge can actually hold, and record both figures in your notes.
Which radius: rmin, ravg or rmax
This is the detail that causes most real-world discrepancies, and it is absent from most conversion guides. A tube is not a point — it occupies a range of radii, so the sample experiences a range of forces.
| Radius | Measured to | When to use |
|---|---|---|
| rmin | The top of the sample column, nearest the axis | Rarely used alone; relevant for gradient work and for knowing the minimum force applied |
| ravg | The midpoint of the tube | Sometimes quoted by manufacturers; reasonable for rate-zonal separations |
| rmax | The bottom of the tube, furthest from the axis | The default for pelleting, because it is the force reached at the pellet |
The gap is not trivial. In a microcentrifuge rotor, rmin might be 4 cm and rmax 8 cm — a two-fold difference in force between the top and bottom of the same tube at the same speed. Two labs following one protocol can therefore differ two-fold simply by choosing different radii.
Manufacturers publish these figures for each rotor. Use rmax unless the protocol says otherwise, and state which you used when writing methods.
Quick reference table
Relative centrifugal force in ×g, calculated with the formula above:
| Speed (rpm) | r = 5 cm | r = 8 cm | r = 10 cm | r = 15 cm |
|---|---|---|---|---|
| 1,000 | 56 × g | 89 × g | 112 × g | 168 × g |
| 2,000 | 224 × g | 358 × g | 447 × g | 671 × g |
| 3,000 | 503 × g | 805 × g | 1,006 × g | 1,509 × g |
| 5,000 | 1,397 × g | 2,236 × g | 2,795 × g | 4,193 × g |
| 10,000 | 5,590 × g | 8,944 × g | 11,180 × g | 16,770 × g |
| 14,000 | 10,956 × g | 17,530 × g | 21,913 × g | 32,869 × g |
Read across to see how strongly radius matters at fixed speed, and down to see the squared effect of speed. Use the table for orientation and the formula for your actual rotor.
Rotor type and practical factors
- Fixed-angle rotors hold tubes at a set angle. The effective radius changes little during the run, and pellets form against the tube wall as well as the bottom.
- Swinging-bucket rotors let tubes pivot to horizontal at speed, so rmax during the run differs from the value at rest. Pellets form flat at the tube bottom, which is preferable for gradients and for resuspending cleanly.
- Acceleration and braking are not captured by either number. Density gradients require slow acceleration and braking off, or the separation is destroyed regardless of the correct RCF.
- Temperature matters for labile samples and for density-based separations, where medium density is temperature dependent.
- Balance is a safety requirement as well as a technical one: opposing tubes should be matched by mass, not by eye.
Common errors
| Error | Effect | Avoid by | |
|---|---|---|---|
| Radius entered in millimetres | Result ten-fold too high | Using centimetres with the 1.118 × 10−5 constant | undefined |
| Using rmin where rmax was meant | Force under-applied, up to two-fold | Defaulting to rmax for pelleting and recording the choice | undefined |
| Assuming rpm transfers between machines | Different force on different rotors | Converting to ×g and recording that instead | undefined |
| Measuring the radius by eye | Small radius errors scale linearly into the result | Taking the value from the rotor documentation | undefined |
| Forgetting the square on N | Grossly wrong answer | Squaring the speed before multiplying | undefined |
Sample prep reagents
Lysis buffers, exosome isolation kits, protein quantification assays and viability stains — for the workflows where these spin settings are applied.
Browse sample prep reagents →Frequently asked questions
What is the formula to convert rpm to g-force?
RCF = 1.118 × 10−5 × r × N2, where r is the rotor radius in centimetres and N is speed in rpm. The result is in ×g, a multiple of gravitational acceleration.
How do I convert g-force to rpm?
Rearrange to N = √( RCF ÷ (1.118 × 10−5 × r) ). Divide the required force by the constant times your radius in centimetres, then take the square root. This is the direction most protocols require.
Does the conversion constant differ between centrifuges?
No. The constant is fixed physics and identical for every centrifuge. What differs is the rotor radius, which is why the same rpm produces different forces on different machines — and why protocols should specify ×g.
Should I use r-min, r-avg or r-max?
Use rmax for pelleting unless the protocol states otherwise, since that is the force reached at the pellet. The difference is substantial — rmin and rmax can differ two-fold in the same rotor — so record which you used.
Why do protocols specify ×g instead of rpm?
Because ×g describes the actual force on the sample and transfers between instruments, while rpm depends on rotor geometry. A method written in rpm cannot be reproduced reliably on different equipment.
What happens if I use millimetres for the radius?
The answer comes out ten-fold too high. With radius in millimetres the constant becomes 1.118 × 10−6; with centimetres it is 1.118 × 10−5.
Does doubling the speed double the force?
No — it quadruples it. RCF scales with the square of rpm. Radius, by contrast, scales linearly, so doubling the radius doubles the force.
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