How It Works - G-Force & Centripetal Acceleration

What is G-Force (RCF)?

G-force, or Relative Centrifugal Force (RCF), is a measure of the centripetal acceleration experienced by an object in circular motion, expressed as a multiple of Earth's gravitational acceleration (g = 9.81 m/s2).

  • 1 G = Normal Earth gravity
  • 10 G = 10 times gravitational pull
  • 10,000 G = Typical centrifuge separation

Higher G-forces cause denser materials to separate faster from lighter materials - the basis of centrifugal separation.

Key Formulas

G-Force from RPM:

G = (RPM)^2 x r x 1.118 x 10^-5

r in cm

RPM from G-Force:

RPM = sqrt(G x 89,456 / r)

r in cm, or sqrt(G x g / r) x 30/pi

Applications by G-Force Range

  • 1-10 G: Vibrating screens, shale shakers (4-8 G), washing machines
  • 100-500 G: Cream separators, industrial settling
  • 1,000-4,000 G: Decanter centrifuges, oil-water separation
  • 5,000-15,000 G: Disc stack separators, clarifiers
  • 10,000-100,000 G: Laboratory centrifuges
  • 100,000+ G: Ultracentrifuges for molecular separation

Design Considerations

  • Tip velocity: Should typically stay below 150-200 m/s for steel rotors
  • Rotor stress: Increases with square of velocity - material limits matter
  • Balancing: Critical at high RPM - dynamic balancing required above 3,000 RPM
  • Bearings: Precision bearings needed for high-speed applications
  • Critical speed: Avoid operating near natural frequencies of the rotor

Radius Measurement

For centrifuges, measure the radius from the axis of rotation to the point of interest (usually the maximum radius where separation occurs).

Centrifugal Force & G-Force Visualization
ROTATING SYSTEM omega (rad/s) r (radius) m a = omega^2 x r G-Force = Centripetal Acceleration / g G = (omega^2 x r) / 9.81 where omega = 2 x pi x RPM / 60 RPM = revolutions per minute G-FORCE APPLICATION RANGES 1-10 G Vibrating screens, shakers 100-500 G Cream separators 1,000-4,000 G Decanter centrifuges 5,000-15,000 G Disc stack separators 10,000-100,000 G Lab ultracentrifuges Higher G = Faster separation | Smaller radius = Higher RPM needed

Quick Select - Common G-Force Targets

RPM from G-Force Calculator

Calculate the required rotational speed (RPM) to achieve a target G-force at a given radius.

Quick G-Force Targets:
Shale Shaker: 4-8 G | Decanter: 2,000-4,000 G
Disc Separator: 5,000-12,000 G | Lab: 10,000-100,000 G

Required Speed

-- RPM
Required Rotational Speed
CALCULATING...
Angular Velocity
--
Tip Velocity
--
Centripetal Acceleration
--
Frequency
--

Formulas

RPM from G-Force:

RPM = sqrt(G x 89,456 / r)

Where r = radius in cm, G = target G-force

Physics Form:

RPM = (30/pi) x sqrt(G x g / r)

Where r = radius in meters, g = 9.81 m/s2

G-Force vs Radius Chart

Target G50mm100mm200mm500mm

Required RPM to achieve target G-force at various radii