Litres consumed per 100 kilometres; lower is better. Standard metric efficiency unit.

Energy lost deforming tires as they roll. Low-pressure or wide tires raise it.

Automotive Calculators

Yaw Moment Calculator

2026-09-27 6 min

Yaw moment about the CG from a cornering force and its moment arm, in lb-ft and Nm.

Yaw Moment: 6750 lb-ft
Yaw Moment (SI): 9152 Nm

Calculator

Cornering Force(lb)

Distance From CG(ft) Help

Axle-to-CG distance

Results update live as you type

Live statistics

Yaw Moment

6750 lb-ft

Yaw Moment (SI)

9152 Nm

Results

Optimal

Yaw Moment

6750lb-ft

Yaw Moment (SI)

9152Nm

Planning estimate from standard automotive formulas. Validate with dyno, timeslip or datalog data when precision matters.

Visualizations

Results overview

6,750Yaw Moment

9,152Yaw Moment

Yaw Moment vs. Cornering Force

Yaw Moment

6,750lb-ft

020,000

Formula

Axle lateral force times its lever arm about the center of gravity gives the rotation torque.

Yaw moment = cornering force x moment arm

Alternative Form

Nm = lb-ft x 1.3558

Variables

Symbol	Name	Unit	Description
F	Axle cornering force	lb	Lateral force at the axle
a	Moment arm	ft	Axle distance from CG

Explanation

Front-axle force yaws the nose in; rear-axle force stabilizes — balance of these moments is handling balance.

Step-by-Step Calculation

Follow each step to understand how the result is calculated from your inputs.

Step 1

Record the inputs.

Cornering Force:1500 lb

Distance From CG:4.5 ft

Result: 2 inputs ready

Step 2

Apply the formula.

Yaw moment = cornering force x moment arm

Result: Primary result = 6750 lb-ft

Step 3

Read every derived output.

Yaw Moment:6750 lb-ft

Yaw Moment (SI):9152 Nm

Result: Yaw Moment = 6750 lb-ft

Final Answer

6750

Worked Examples

See how the calculator works with different scenarios.

Scenario

Front axle generating peak cornering force.

Inputs

Force:1,500 lb

Arm:4.5 ft

Calculation

1,500 x 4.5 = 6,750 lb-ft

Result

6,750 lb-ft (9,152 Nm).

Interpretation

Compare front vs rear moments to read understeer/oversteer.

Understanding Your Result

Your Result: Yaw Moment: 6750 lb-ft

What This Means

Torque rotating the car in plan view about its CG.

Why It Matters

Front/rear yaw-moment balance defines rotation vs stability.

Professional Interpretation

Treat the primary result as a planning estimate, then validate on a dyno, at the track, or with logged sensor data. If measured numbers disagree by more than ~10%, re-check inputs (units are the usual culprit) before changing parts.

Recommendations

•Double-check units on every input before trusting the result
•Compare against the worked example below to sanity-check magnitude
•Validate with measured data (dyno, timeslip, datalog) when it matters

Learn — fuel economy, deeply

Cornering forces at the axles twist the car around its CG.

1 · Where the gallon goes (energy path)

Engine heat

60–70% lost

Coolant + exhaust carry most energy away. Hybrids recover some via Atkinson cycle + regen.

Driveline

5–15% lost

Transmission, differential, accessories. CVTs and 8–10 speed autos lose less.

Aero drag

∝ v²

Doubles from 55→78 mph. Roof boxes hurt more than trunks.

Rolling + brakes

10–20%

Tires, weight, stops. Regen braking (hybrid/EV) reclaims city braking energy.

4 · Measure like a pro (the 3-tank protocol)

Fill to first click at the same pump, record the odometer (Tank 0).
Drive normally for 2–3 tanks; always refill to first click at the same pump.
MPG = total miles ÷ total gallons across all tanks — averaging kills pump-click noise.
Cross-check with the trip computer; a persistent >10% gap means the computer needs calibration — or the car needs service.
Log with an OBD-II dongle for per-trip MPG if you want to isolate commute vs. highway behavior.

Practical Tips

•Compute front and rear moments separately, then net them
•Moving CG shifts both arms at once
•Aero balance adds a speed-dependent yaw term

Common Mistakes

Mixing units (inches with mm, psi with kPa)

Convert every input to the unit shown on its field before calculating.

Trusting a single output blindly

Cross-check with the worked example and, when it matters, a dyno or datalog.

Assumptions

This calculator makes the following assumptions to provide estimates:

Steady-state model: Formulas assume stabilized conditions; transients, heat soak and traction limits are excluded.

Standard factors: Empirical constants (BSFC, VE, drivetrain loss) use typical values — your combination may differ.

Limitations

Be aware of these limitations when using this calculator:

Estimate, not measurement: Predictions carry real-world scatter of roughly ±5–15% depending on the model.

No transient effects: Shift time, wheelspin, spool lag and heat soak are not modeled here.

Frequently Asked Questions

Answers to common questions about this calculator.

What creates a yaw moment?

Any lateral force offset from the CG — mainly front vs rear tire cornering forces.

How does yaw moment relate to oversteer?

Net moment turning the nose into the corner beyond the driver's ask reads as oversteer.

Related Calculators

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Related Guides

Deepen your understanding with these educational resources.

Automotive Guides

Build planning, measurement protocol and validation how-tos

Glossary

Technical terms used in mortgage calculations explained in plain language.

MPG: Miles per gallon. Distance travelled per gallon of fuel; higher is better. US gallon = 3.785 L.
L/100 km: Litres consumed per 100 kilometres; lower is better. Standard metric efficiency unit.
MPGe: Miles per gallon-equivalent. EV metric: miles travelled on 33.7 kWh (energy of 1 gal of gasoline).
CAFE: Corporate Average Fuel Economy — US fleet-average efficiency standard enforced by NHTSA.
Rolling resistance: Energy lost deforming tires as they roll. Low-pressure or wide tires raise it.
Aerodynamic drag: Air resistance growing with the square of speed — why highway MPG falls fast above 60 mph.
Hypermiling: Driving techniques (coasting, steady speed, anticipation) that maximise real-world MPG.
OBD-II: On-board diagnostics port. Scanners and dongles read live MPG, fuel trim and fault codes.

Authoritative References

Trusted sources and standards referenced by this calculator.

EPA — FuelEconomy.gov DOE — Fuel-Efficient Driving Tips NHTSA — Driving Safety & Efficiency SAE International — Fuel Economy Standards Consumer Reports — MPG Truth IRS — Standard Mileage Rates

Applicable Standards

EPA Fuel Economy Testing (40 CFR Part 600)CAFE — Corporate Average Fuel Economy Standards (NHTSA)WLTP — Worldwide Harmonised Light Vehicle Test ProcedureSAE J1321 / J1711 — Fuel consumption test proceduresISO 2575 — Road vehicles symbols & efficiency markings

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Page Information

Last Updated:

2026-09-27

Version:

2.0.0

References:

License:

Free to use for educational and professional purposes.