Convert RPM to g-force (RCF) for a centrifuge from rotor speed and radius, or convert g to RPM to find the speed needed for a target × g.

Distance from the rotor axis to the sample (radius, not diameter); often printed on the rotor or in its manual.

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RPM to G Force Formula

The following equation gives relative centrifugal force (RCF), the magnitude of rotational acceleration divided by standard gravity g₀ = 9.80665 m/s². RCF is expressed as a multiple of g₀, not a force in newtons. Use radius in meters with the formula below; this is a geometric conversion, not an equipment speed rating.

GF = (2×π×RPM/60)2 × r / 9.80665
  • Where GF is the RCF (multiples of standard gravity)
  • r is the radius of rotation in meters; for centrifuge RCF, use the specified radius to the sample position (commonly the bottom of the tube), accounting for adapters
  • RPM is the number of rotations per minute
RPM to G-Force Conversion Table (Radius = 10 cm)
RPM (rpm) Radius (cm) G-Force (g)
5001027.96
7501062.90
1,00010111.82
1,20010161.03
1,50010251.60
2,00010447.30
2,50010698.90
3,000101,006.42
3,500101,369.85
4,000101,789.19
4,500102,264.44
5,000102,795.61
6,000104,025.68
7,000105,479.40
8,000107,156.76
9,000109,057.78
10,0001011,182.44
12,0001016,102.71
15,0001025,160.49
20,0001044,729.76
Assumes fixed radius r = 10 cm (0.10 m). RCF = ((2π × RPM / 60)² × r(m)) / 9.80665 ≈ 1.118243958×10⁻⁵ × r(cm) × RPM². Values use full π and standard gravity, then round to two decimals; the common 1.118×10⁻⁵ shortcut is rounded.

Can RPM be converted to G Force?

RPM can be converted to G force if you also know the radius of rotation. In this example, the RPM is first converted to tangential velocity, then the number of g forces is calculated.

How to Calculate G Force from RPM?

Example Problem:

The following example outlines the steps and information needed to calculate the g forces from RPM.

First, determine the total rotations per minute. In this example, the RPM is 50.

Next, determine the radius of rotation. This is provided as 2 m.

Finally, calculate the g forces from the rpm using the formula above:

GF = (2*pi*RPM/60)2 * r / 9.80665

GF = (2*pi*50/60)2 * 2 / 9.80665

GF ≈ 5.591 × g₀