Centrifugal Force Calculator: Fc, G-Force and RCF

Centrifugal Force Calculator

Compute centrifugal force with Fc = m v squared / r = m omega squared r in newtons, then read angular velocity in rad/s, g-force in multiples of gravity, and the centrifuge relative centrifugal force RCF from your radius and RPM. Enter mass and either a linear speed, an RPM value, or an angular rate.

🎡Choose Input Mode

🎯Real Spin Scenario Presets

📝Spin Inputs

Mass of the rotating body or sample.

Converted to kilograms internally.

Distance from the spin axis to the mass.

Centrifuge rotors are usually quoted in cm.

Tangential speed of the mass along its path.

Revolutions per minute of the rotor or wheel.

Angular rate omega in radians per second.

Controls rounding on every result card.

Centrifugal Force 0 N outward force Fc = m v^2 / r
Angular Velocity 0 rad/s omega, spin rate
G-Force 0 x g multiples of gravity
RCF / Velocity 0 relative centrifugal force

🔢Formula Snapshot

Fcm v^2 / r
Fcm w^2 r
gv^2 / (r 9.81)
RCF1.118e-5 r RPM^2

📏Centrifugal Force Formula Variants

FormulaWhen You KnowGivesNotes
Fc = m v^2 / rMass, linear speed, radiusForce in newtonsTangential speed form
Fc = m w^2 rMass, angular rate, radiusForce in newtonsAngular form, w in rad/s
w = 2 pi RPM / 60Rotation in RPMAngular velocity rad/sConverts RPM to omega
v = w rAngular rate and radiusLinear speed m/sLinks angular and linear
a = v^2 / rSpeed and radiusAcceleration m/s^2Centripetal acceleration
g-force = a / 9.81AccelerationMultiples of gravityDivide by 9.81 m/s^2
RCF = 1.118e-5 r RPM^2Radius in cm and RPMRelative force x gStandard centrifuge form

🔄RPM to Angular Velocity Reference

RPMRevs per SecondAngular Velocity wv at r = 0.1 m
601.006.28 rad/s0.63 m/s
3005.0031.4 rad/s3.14 m/s
60010.062.8 rad/s6.28 m/s
100016.7104.7 rad/s10.5 m/s
300050.0314.2 rad/s31.4 m/s
6000100628.3 rad/s62.8 m/s
140002331466 rad/s146.6 m/s
6000010006283 rad/s628.3 m/s

🏎Everyday G-Force Examples

ScenarioTypical RadiusSpeed or RPMG-ForceWhat You Feel
Gentle highway curve200 m25 m/s0.32 gLight lean sideways
Sharp car cornering25 m17 m/s1.2 gBody pushed to door
Roller coaster loop6 m18 m/s5.5 gHeavy, pinned down
Washing machine spin0.25 m1200 RPM402 gWater forced out
Fighter jet hard turnvaries9 g pull9 gNear g-suit limit
Lab centrifuge0.08 m4000 RPM1431 gPellets solids
Ultracentrifuge0.06 m60000 RPM241000 gSeparates molecules

🧪Centrifuge RCF at Common Settings

Rotor Radius1000 RPM3000 RPM6000 RPM10000 RPM
5 cm56 x g503 x g2012 x g5590 x g
8 cm89 x g805 x g3220 x g8944 x g
10 cm112 x g1006 x g4025 x g11180 x g
12 cm134 x g1207 x g4830 x g13416 x g
15 cm168 x g1509 x g6037 x g16770 x g
18 cm201 x g1811 x g7245 x g20124 x g

🗃Spin Scenario Comparison Grid

ScenarioTypical RadiusSpeed or RPMG-ForceForce FeelMain Use
Playground roundabout1.5 m30 RPM1.5 gSlides outwardPlay and fun
Salad spinner0.1 m500 RPM28 gFlings waterDrying greens
Washing machine spin0.25 m1200 RPM402 gWater expelledRemoving water
Hammer throw1.7 m28 m/s47 gHuge arm pullTrack and field
Angle grinder disc0.06 m11000 RPM8114 gExtreme edge loadCutting metal
Clinical centrifuge0.08 m4000 RPM1431 gPacks pelletsBlood separation
Microfuge0.07 m14000 RPM15340 gHard pelletingDNA and protein
Ultracentrifuge0.06 m60000 RPM241500 gMolecular scaleDensity gradients

Formula Breakdown

Fc = m v^2 / rCentrifugal force equals mass times speed squared divided by radius. A 0.05 kg mass at 10 m/s on a 0.08 m radius gives Fc = 0.05 × 100 / 0.08 = 62.5 N.
Fc = m w^2 rThe angular form uses omega. With w = 125 rad/s and r = 0.08 m, Fc = 0.05 × 125^2 × 0.08 = 62.5 N, matching the speed form since v = w r.
w = 2 pi RPM / 60Convert rotation speed to angular velocity. At 4000 RPM, w = 2 × 3.14159 × 4000 / 60 = 418.9 rad/s.
v = w rLinear speed is angular velocity times radius. At 418.9 rad/s and 0.08 m, v = 418.9 × 0.08 = 33.5 m/s.
g-force = v^2 / (r × 9.81)Divide centripetal acceleration by gravity. Here 33.5^2 / (0.08 × 9.81) = 1431 times g, so the sample feels 1431 g.
RCF = 1.118e-5 × r_cm × RPM^2Relative centrifugal force for a centrifuge, radius in cm. At r = 8 cm and 4000 RPM, RCF = 1.118e-5 × 8 × 4000^2 = 1431 x g.

💡Practical Spin Tips

Radius matters more than you think: at fixed RPM the force scales straight with radius, so a sample 15 cm from the axis feels almost twice the g-force of one at 8 cm. When you copy a protocol between rotors, always convert by RCF and not by RPM, or a 1431 g spin at 8 cm becomes a punishing 2684 g at 15 cm.
Speed squares the load: because Fc depends on v squared, doubling the tangential speed quadruples the outward force and the g-force. Going from 3000 to 6000 RPM does not double the stress on your rotor and tubes, it multiplies it by four, so respect the maximum rated RCF printed on every rotor and tube box.

When the washing machine goes round, or car swerves out of control, you feel a push across your ribs. When something rotate, that’s called centrifugal force: it appears as if there’s an outward push. But it isn’t some magical thing, nor has anyone discovered a new kind of physics. It’s simply your own inertia fighting against changing direction as the rest of the world whirls by.

Once you know your speed, radius and mass, plugging them into calculator does the math for you. It converts complex formulas into real-world numbers. Knowing about this force will change your perspective on everything from lab instruments to a ride at the park. It’s an elegant and simple equation. But it’s also deceptively prone to misuse.

How to Calculate Centrifugal Force

It goes like this: Centrifugal force = (mass x velocity²) ÷ radius. Or (mass x angular velocity²) x radius. Most people goes wrong at this point, with the speed squared part. Double your rate of rotation? You get four times the force. It is not linear. Moving a centrifuge from 3000 to 6,000 RPM doesn’t double stress on tubes; it increases it four-fold.

Here’s where the calculator comes in. It automaticly compensates for this. It saves you from doing any math in your head that might cost you an experiment; or even crack your instrument.

This calculation depends heavily off the radius. When you fix speed, a smaller radius translate into higher g-force. Typicaly, however, RPM are controlled by some form of rotational machinery, not linear speed. Then force increases proportionally to radius. That means a point farther out along the radius will feel more force than a point close to center, despite having equal rotational periods.

Laboratory protocols states it in terms of relative centrifugal force, or RCF, stated as multiples of gravity. Why? Because RPM alone is like giving someone driving directions but never telling them what kind of road. With this tool you can switch easily between revolutions per minute and radians per second… And know you haven’t lost touch with physical reality.

That’s an acceleration expressed as g-force. A normal earthbound weight is one g. A fighter pilot making a hard turn experience nine g, which means that blood pools out of his brain. Separating DNA requires thousands of g inside a microcentrifuge. To do so, the calculator provides two numbers: the raw force in newtons and the g-force times the value of gravity.

G-forces express the actual structural or physiological effect. Newtons indicates the absolute push. For example, knowing that a given spin applies 1400 newtons let you make engineering calculations. Knowing that it applies 1400 g tells you whether your sample will shatter its container or form a proper pellet.

But calculations are only part of it; context is important too. So the page has some reference tables for common experiences. From ultracentrifuges spinning at 60,000 RPM to gentle curving roads on highway, these compare how different things feel. They ground the numbers into something we can experience. Instead of just numbers, we begin to understand what kind of strain they mean. If your calculated g-force is somewhere between that of a washing machine drum and salad spinner, then you have an idea of the rough amount of strain you’re experiencing.

Geometry is key. Mastering centrifugation require an understanding of the forces involved. A lot is determined by speed, which multiplies stress exponentially, and radius, which spreads stress out linearly. A tool can help make translation easier. Free up your mind to consider only the question before you. Is this rotor safe? Does this protein precipitate here? Is the turn too sharp for tires to hold?

The calculation is straightforward and consistent. Now just use your best judgment to apply it to the actual situation. You should of used math that way, what goes around comes around… but doesn’t break things getting there.

Centrifugal Force Calculator: Fc, G-Force and RCF