| Parameter | Value |
|---|
This tool shows in real time how a steering wheel rotation maps to wheel toe and gives an approximate turning radius for a chosen wheelbase and steering ratio. Turn the virtual wheel at the top, watch the left and right tire angles update, and read the computed radius and key parameters in the results table. The tool is ideal for fast checks, setup comparisons and teaching basic vehicle steering behavior.
🚖 The widget computes and displays the steering wheel angle, corresponding left and right wheel angles in degrees and an estimated turning radius in meters based on a simple two wheel model. A results table lists steering ratio, maximum wheel angle and computed radius to compare steering setups quickly.
Table of Contents
Wheel angle calculator fields and how to use them
- Vehicle type picks sensible defaults for quick start values. You can always type your own numbers.
- Wheelbase is the axle distance in meters. Longer wheelbase raises the turning radius for the same wheel angle.
- Steering ratio is the numeric relation between wheel and tire angle. It is steering angle divided by tire angle. Lower ratio means faster steering response and bigger tire deflection for small steering inputs.
- Maximum tire angle is the mechanical travel limit of the steering linkage in degrees and prevents further wheel deflection in the same direction.
Core formulas and quick reference
Use these formulas when you need exact numbers or to reproduce the online results. Convert degrees to radians before calling trigonometric functions.
- Wheel to tire conversion: tire angle equals steering angle divided by steering ratio.
- Turning radius estimate: radius is wheelbase divided by tangent of the tire angle in radians.
- Degrees to radians conversion: multiply degrees by pi over 180 before using tangent.
Reference table of approximate radii
The table below lists rounded turning radii in meters for typical wheelbases and several tire angles. Values are computed with radius equals wheelbase over tangent of tire angle.
| Wheelbase | α = 2° | α = 4° | α = 9° | α = 14° | α = 19° | α = 28° |
|---|---|---|---|---|---|---|
| 1.20 m | 34 m | 17 m | 8 m | 5 m | 3 m | 2 m |
| 2.20 m | 63 m | 31 m | 14 m | 9 m | 6 m | 4 m |
| 2.80 m | 80 m | 40 m | 18 m | 11 m | 8 m | 5 m |
| 3.10 m | 89 m | 44 m | 20 m | 12 m | 9 m | 6 m |
| 3.80 m | 109 m | 54 m | 24 m | 15 m | 11 m | 7 m |
Typical steering ratios and wheel travel
These ranges help when choosing a baseline steering ratio for a vehicle type. Smaller numbers mean quicker response. Use the online controls to tweak the ratio and immediately compare the turning radius.
| Vehicle type | Usual steering ratio | Typical max tire angle |
|---|---|---|
| Kart and race kart | 2.5 to 5 | 28 to 38 degrees |
| Sport car | 7 to 11 | 28 to 38 degrees |
| Passenger car | 11 to 16 | 28 to 38 degrees |
| SUV | 13 to 19 | 26 to 33 degrees |
| Heavy truck | 22 to 45 | 14 to 24 degrees |
| Electric vehicle | 9 to 13 | 28 to 44 degrees |
The computation uses a linear two wheel geometry. The model omits Ackermann steering geometry, steering center offset, suspension compliance, wheel width, tire slip and transient dynamics. Inside and outside wheels follow the same simple rule. For quick engineering checks and comparing different steering ratios this approximation is useful. For final design, include full kinematic steering analysis and dynamic tyre behaviour.
Practical tips for accurate use
- Measure wheelbase along the vehicle centerline for consistent results.
- Convert small tire angles to radians before using tangent math.
- If turning radius reports extremely large numbers the tire angle is near zero and you are in near-straight motion.
- When testing settings use modest changes to steering ratio first then confirm with a track test or CAD kinematics tool.
This steering and wheel angle calculator provides instant feedback on how steering ratio and wheelbase influence tire angle and turning radius. Use it for bench tuning, teaching and rapid comparison of geometries. For validation apply detailed kinematic and dynamic models before production.
Further reading
- Thomas D. Gillespie, Fundamentals of Vehicle Dynamics
- Rajesh Rajamani, Vehicle Dynamics and Control
- Milliken and Milliken, Race Car Vehicle Dynamics
David Parry — Senior Engineering Analyst
Specializing in electronics and physics-based simulations with 20+ years of engineering experience. David ensures the mathematical and physical accuracy of the tools at ProCalcLab.
