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Converting RPM to G-force in Centrifugation

Lab Methods · 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.

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1.118×10−5The universal constant
r in cmRadius unit this formula expects
× gWhat protocols should specify
rmaxUsually the radius to use

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
Lysis

GenieLyse RIPA Lysis Buffer

Lysis bufferCells & tissue

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)
Exosomes

Exosome Isolation Kit (Precipitation)

PrecipitationSerum, plasma, media

A polymer-based alternative to differential ultracentrifugation, using standard benchtop speeds.

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Exosome Isolation Affinity Purification
Affinity

Exosome Isolation Affinity Purification

AffinitySerum, plasma, media

Affinity capture where ultracentrifuge access is limited or higher purity is needed.

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Bradford Protein Assay
Bradford

Bradford Protein Assay

ColorimetricProtein lysates

Quantifies protein in the clarified supernatant; incompatible with detergents above their limits.

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Total Protein Assay Kit
Total protein

Total Protein Assay Kit

ColorimetricProtein lysates

An alternative total protein readout for normalising downstream assays after clarification.

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Propidium Iodide Staining Solution
Viability

Propidium Iodide Staining Solution

DNA stainFlow cytometry

Checks viability after processing — excessive g-force damages cells and shows up here.

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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.

A laboratory centrifuge. The force at the sample depends on rotor radius as well as speed.
A laboratory centrifuge. The force at the sample depends on rotor radius as well as speed.

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.

RadiusMeasured toWhen to use
rminThe top of the sample column, nearest the axisRarely used alone; relevant for gradient work and for knowing the minimum force applied
ravgThe midpoint of the tubeSometimes quoted by manufacturers; reasonable for rate-zonal separations
rmaxThe bottom of the tube, furthest from the axisThe 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 cmr = 8 cmr = 10 cmr = 15 cm
1,00056 × g89 × g112 × g168 × g
2,000224 × g358 × g447 × g671 × g
3,000503 × g805 × g1,006 × g1,509 × g
5,0001,397 × g2,236 × g2,795 × g4,193 × g
10,0005,590 × g8,944 × g11,180 × g16,770 × g
14,00010,956 × g17,530 × g21,913 × g32,869 × 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

ErrorEffectAvoid by
Radius entered in millimetresResult ten-fold too highUsing centimetres with the 1.118 × 10−5 constantundefined
Using rmin where rmax was meantForce under-applied, up to two-foldDefaulting to rmax for pelleting and recording the choiceundefined
Assuming rpm transfers between machinesDifferent force on different rotorsConverting to ×g and recording that insteadundefined
Measuring the radius by eyeSmall radius errors scale linearly into the resultTaking the value from the rotor documentationundefined
Forgetting the square on NGrossly wrong answerSquaring the speed before multiplyingundefined

Sample prep reagents

Lysis buffers, exosome isolation kits, protein quantification assays and viability stains — for the workflows where these spin settings are applied.

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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.

19th Jul 2023 Pragna Krishnapur, MSc

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