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Automotive Calculators

Yaw Rate Calculator

2026-09-27 6 min

Steady-state yaw rate in deg/s and rad/s from speed and corner radius.

Yaw Rate
20.17 deg/s
Yaw Rate (SI)
0.352 rad/s

Calculator

Speed(mph)
mph
Corner Radius(ft)
ft
Results update live as you type

Live statistics

Yaw Rate

20.17 deg/s

Yaw Rate (SI)

0.352 rad/s

Results

Optimal

Yaw Rate

20.17deg/s

Yaw Rate (SI)

0.352rad/s

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

Visualizations

Results overview

20.2Yaw Rate
0.4Yaw Rate

Yaw Rate vs. Speed

Yaw Rate

20.2deg/s
060

Formula

Circular-motion rotation rate: forward speed divided by corner radius.

Yaw rate = v / radius

Alternative Form

deg/s = rad/s x 180/pi

Variables

SymbolNameUnitDescription
vSpeedft/smph x 1.4667
RRadiusftCorner centerline

Explanation

Tight slow corners demand high yaw rates — why hairpins punish poor rotation and reward a nimble chassis.

Step-by-Step Calculation

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

Step 1

Record the inputs.

Speed:60 mph
Corner Radius:250 ft
Result: 2 inputs ready
Step 2

Apply the formula.

Yaw rate = v / radius
Result: Primary result = 20.17 deg/s
Step 3

Read every derived output.

Yaw Rate:20.17 deg/s
Yaw Rate (SI):0.352 rad/s
Result: Yaw Rate = 20.17 deg/s
Final Answer
20.17

Worked Examples

See how the calculator works with different scenarios.

Scenario

Fast sweeper.

Inputs

Speed:60 mph
Radius:250 ft

Calculation

88/250 = 0.352 rad/s = 20.17 deg/s

Result

20.17 deg/s yaw rate.

Interpretation

Reference for gyro/datalogger calibration and stability targets.

Understanding Your Result

Your Result: Yaw Rate: 20.17 deg/s

What This Means

How fast the car rotates while cornering.

Why It Matters

Datalogger reference for rotation, ESC calibration and driver coaching.

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

Speed around a radius implies a fixed rotation rate.

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)

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

Practical Tips

  • •Log yaw rate with lateral G together
  • •Compare measured vs theoretical to spot sliding
  • •Tighter corners spike yaw demand

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 yaw rate is normal?
Highway sweepers 5-15 deg/s; tight track corners 25-45 deg/s on the theoretical line.
Why does measured yaw differ from theory?
Tire slip and sliding add rotation beyond the geometric line — the gap is your slide angle.

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Related Guides

Deepen your understanding with these educational resources.

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.

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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