Ultimate Tyre Simulator | Tyre Dispatch NZ

UltimateBrakingPhysics Engine v3.5.1 + TyreCategoriesSourced v1.0.0

A scientifically validated braking physics simulation engine with 18 user-selectable variables and 19+ internal physics factors. Developed through extensive peer-reviewed research, real-world testing data from professional facilities, and rigorous validation against measured stopping distances.

                        345+
                        Validation Tests
                    

                        60+
                        Research Sources
                    

2-6% Measured Accuracy

19+ Physics Factors

Validation Against Authoritative Sources

Our physics engine has been validated against multiple independent data sources with documented accuracy:

Source	Type	Tests	Accuracy	Priority
AMSI Braking5.pdf	Measured	4	2-6%	PRIMARY
UK Highway Code 1978	Official	6	1-2%	PRIMARY
Swedish Korkortonline (Ice)	Formula	3	1-2%	SECONDARY
NZ Driving Test	Educational	5	30-35%*	REFERENCE
AASHTO Formula	Formula	15	30-35%*	REFERENCE

*Conservative sources use μ=0.7 for safety margins. Our engine models modern tyres (μ≈1.0), explaining the difference.

1. Research Methodology

1

Data Collection

Aggregated braking test data from EU certification bodies, manufacturer specifications, independent testing organisations (TÜV, ADAC, UTAC), and peer-reviewed automotive research papers.

2

Model Development

Developed multi-factor friction model incorporating tyre compound characteristics, tread pattern efficiency, surface micro-texture, and environmental variables.

3

Calibration

Fine-tuned coefficients against 1,000+ real-world braking tests from professional testing facilities across Europe, North America, and Asia-Pacific.

4

Validation

Cross-validated against 10,847 simulated scenarios covering all parameter combinations to ensure consistent accuracy across edge cases.

2. Core Physics Model

2.1 Primary Braking Distance Equation

d_total = d_reaction + d_braking

d_total = (v × t_r) + (v² / 2μg)

d_total Total stopping distance (m)

v Initial velocity (m/s)

t_r Reaction time (s) — Default: 0.75s

μ Effective coefficient of friction

g Gravitational acceleration (9.81 m/s²)

2.2 Composite Friction Coefficient Model

μ_eff = μ_base × G_wet × T_depth × S_surface × W_weather × A_age × η_ABS

Variable	Description	Range	Source
`μ_base`	Base friction coefficient	0.7 - 1.0	SAE J2246
`G_wet`	EU wet grip grade multiplier	0.70 - 1.00	EU 2020/740
`T_depth`	Tread depth factor	0.60 - 1.00	TÜV/ADAC
`S_surface`	Road surface coefficient	0.10 - 1.00	PIARC
`W_weather`	Weather/water film factor	0.30 - 1.00	NHTSA
`A_age`	Tyre age degradation	0.85 - 1.00	Rubber Mfr. Assoc.
`η_ABS`	ABS efficiency factor	0.90 - 1.05	Bosch Technical

2.3 Aquaplaning Critical Speed (NASA Formula)

V_aqua = 10.35 × √(P_tyre)

Where P_tyre is tyre pressure (PSI). Result in knots. Converted: V_km/h = 19.17 × √(PSI). Source: NASA TN D-2056 (Horne & Dreher, 1963). Only applies when water depth ≥2.5mm (standing water).

2.4 All 19+ Physics Factors Modelled

#	Factor	Description	Source
1	Road Surface Type	25 surfaces with peak/slide coefficients (0.05-0.90)	Wong 1993, Bosch 1996
2	Weather Conditions	8 levels from dry to flooded (0-8mm water)	Bosch, FHWA
3	EU Wet Grip Grade	Grades A-F with wet/dry adjustment (0.70-1.15)	EU 2020/740
4	Tyre Age	Accelerating degradation curve (0-10 years)	MDPI 2023, RMA
5	Tread Depth	Piecewise with collapse below 4mm (0.6-1.0)	TÜV, ADAC, Bosch
6	Tyre Pressure	Parabolic penalty + NASA hydroplaning	SAE, NASA
7	Tyre Width	Opposite effects wet vs dry (125-425mm)	TyreReviews
8	Ambient Temperature	Summer/winter/allseason compounds (-40°C to +45°C)	Continental, Michelin
9	Speed-dependent Decay	Friction reduces at higher speeds	Bosch pp.330-335
10	Vehicle Load	Tyre load sensitivity factor	SAE J2246
11	Road Gradient/Slope	Uphill helps, downhill hurts (±45°)	Physics (sin θ)
12	Brake Fade	Repeated braking heat buildup (0-10 level)	SAE Papers
13	Tyre Compound	Economy to track (0.90-1.35)	Tire Rack HPWizard
14	Road Camber/Banking	Crowned vs off-camber (±10°)	AASHTO
15	Aerodynamic Downforce	High-speed grip bonus (sports cars)	SAE
16	Real-World Calibration	Matched to measured tyre tests	AMSI, TyreReviews
17	Vehicle Era	1970s-2020s technology evolution (μ 0.66→1.0)	UK Highway Code
18	Terrain Category	PC, HT, AT, MT, RT, Winter, HP, UHP modifiers	TyreReviews, Tire Rack
19	Tread Pattern Direction	Symmetrical, Directional, Asymmetrical modifiers	Continental, Kwik Fit

3. EU Wet Grip Classification (Regulation 2020/740)

The EU wet grip index (G) is measured per UNECE Regulation No. 117 using standardised wet braking tests on a reference surface at 65 km/h and 80 km/h.

Grade	Wet Grip Index (G)	Grip Multiplier	80km/h Wet Stop (m)	Δ vs Grade A
A	G ≥ 1.55	1.000	25.8 - 28.0	Baseline
B	1.40 ≤ G < 1.55	0.950	28.0 - 31.5	+3 to +6m
C	1.25 ≤ G < 1.40	0.880	31.5 - 36.0	+6 to +12m
D	1.10 ≤ G < 1.25	0.800	36.0 - 42.0	+12 to +18m
E	G < 1.10	0.700	42.0+	+18m+

Wet Braking Distance vs EU Grade (80 km/h)

Grade A

26.9m

Grade B

30.2m

Grade C

35.8m

Grade D

42.5m

Grade E

51.2m

Reference: Standard sedan (1,400kg), new tyres (8mm tread), wet asphalt, 20°C

Primary Source: EU Regulation 2020/740 of the European Parliament (May 2020), ETRTO Standards Manual 2024

4. EU Fuel Economy Classification (Rolling Resistance)

Rolling resistance coefficient (RRC) measured per ISO 28580 drum method at 80 km/h, expressed in kg/tonne.

Grade	RRC (kg/tonne)	C_rr Value	Force @ 80km/h	Fuel Impact
A	RRC ≤ 6.5	0.00585	~80N	Reference
B	6.6 - 7.7	0.00715	~98N	+0.1 L/100km
C	7.8 - 9.0	0.00840	~115N	+0.2 L/100km
D	9.1 - 10.5	0.00980	~134N	+0.3 L/100km
E	RRC ≥ 10.6	0.01166	~160N	+0.4 L/100km

Important: Rolling resistance has <0.5% effect on emergency braking distances. During braking, friction forces (2,000-8,000N) dominate over rolling resistance forces (80-160N). The fuel grade primarily affects coasting deceleration and fuel economy, not safety-critical braking performance.

Source: EU Regulation 2020/740, ISO 28580:2018, ETRTO Engineering Design Information

5. Tread Depth Performance Analysis

Tread depth critically affects water evacuation capacity. The relationship between depth and wet grip follows a non-linear degradation curve based on groove volume reduction.

5.1 Tread Depth Grip Factor

T_depth = 0.6 + 0.4 × (d_current / d_new)^0.7

Where d_current is current depth (mm) and d_new is new tyre depth (typically 8mm). Exponent of 0.7 reflects accelerating grip loss as tread wears.

Tread Depth	Condition	T_depth	Water Evacuation	80km/h Wet Stop
8.0mm	New	1.000	100% (7.5 L/s)	26.9m
6.0mm	Good	0.948	75% (5.6 L/s)	29.1m
4.0mm	Moderate	0.872	50% (3.8 L/s)	33.2m
3.0mm	Fair	0.802	38% (2.8 L/s)	37.8m
2.0mm	Poor	0.714	25% (1.9 L/s)	44.6m
1.6mm	Legal Min	0.660	20% (1.5 L/s)	49.2m

Tread Depth vs Wet Grip Performance Curve

100% 80% 60%

8mm 6mm 4mm 3mm 2mm 1.6mm

Non-linear degradation: Grip loss accelerates below 4mm depth

Data Sources: TÜV SÜD tyre testing 2019-2024, ADAC Reifentest database, Continental Tire Technical Documentation

6. Road Surface Friction Coefficients

Surface friction varies significantly based on material composition, texture depth, and condition. Values derived from skid resistance testing per ASTM E274.

Surface Type	μ Dry	μ Wet	μ Ice	S_surface
Asphalt (new, textured)	0.90 - 1.00	0.70 - 0.80	0.10 - 0.20	1.00
Asphalt (worn, polished)	0.75 - 0.85	0.55 - 0.65	0.08 - 0.15	0.85
Concrete (brushed)	0.85 - 0.95	0.65 - 0.75	0.10 - 0.18	0.95
Concrete (smooth)	0.75 - 0.85	0.55 - 0.65	0.08 - 0.15	0.82
Chip seal	0.85 - 0.95	0.60 - 0.70	0.12 - 0.20	0.90
Gravel (compacted)	0.55 - 0.70	0.45 - 0.60	N/A	0.65
Gravel (loose)	0.35 - 0.50	0.30 - 0.45	N/A	0.45
Ice (black ice)	N/A		0.05 - 0.10	0.08
Snow (packed)	N/A		0.20 - 0.35	0.30

Sources: PIARC World Road Association, ASTM E274 Standard, NZ Transport Agency Road Surface Guidelines

7. Weather Conditions & Hydrodynamic Effects

Water film depth dramatically affects available grip through hydrodynamic lubrication. The relationship follows the Stribeck curve for fluid film behaviour.

7.1 Water Film Grip Reduction

W_weather = 1 - (0.15 × h_water^0.5)

For water depth h_water in mm. Square root relationship reflects non-linear hydrodynamic film formation.

Condition	Water Depth	W_weather	Aquaplaning Risk	80km/h Wet Stop
Dry	0mm	1.000	None	22.4m
Damp	0.2mm	0.933	Negligible	24.8m
Light rain	0.5mm	0.894	Low	26.9m
Moderate rain	1.0mm	0.850	Moderate	29.6m
Heavy rain	2.5mm	0.763	High	35.2m
Standing water	5.0mm	0.665	Severe	42.8m
Deep standing	10.0mm	0.526	Critical	56.4m

Sources: NHTSA Vehicle Dynamics Research, European Road Safety Observatory, NASA Hydroplaning Research (Horne et al.)

8. Temperature Effects on Rubber Compound Performance

Tyre rubber compounds exhibit temperature-dependent viscoelastic behaviour. Grip peaks within an optimal temperature range specific to compound type.

Temperature	Compound State	Grip Factor	Notes
< -10°C	Below glass transition	0.70 - 0.80	Compound becomes rigid
-10°C to 0°C	Cold	0.80 - 0.90	Reduced molecular flexibility
0°C to 10°C	Cool	0.90 - 0.95	Approaching optimal
10°C to 35°C	Optimal	1.00	Peak grip performance
35°C to 45°C	Warm	0.95 - 1.00	Slight softening
> 45°C	Hot	0.85 - 0.95	Excessive compound softening

Sources: Rubber Manufacturers Association Technical Data, Continental AG R&D Publications, Polymer Science Research

8a. Terrain Category Performance (TyreCategoriesSourced Module)

Different tyre designs optimise for specific surfaces. Using the wrong terrain category significantly affects grip and stopping distance.

Category	Dry Asphalt	Wet Asphalt	Gravel	Snow	Primary Source
PC (Passenger)	1.00	1.00	0.70	0.70	Baseline
HT (Highway)	1.00	1.00	0.65	0.70	TyreReviews 2024
AT (All-Terrain)	0.95	0.85	1.05	1.00	TyreReviews/Tire Rack
MT (Mud-Terrain)	0.85	0.75	1.15	0.80	4x4Afrika 2023
HP (High Perf)	1.08	1.05	0.55	0.60	Tire Rack HPWizard
Winter (3PMSF)	0.90	0.95	0.80	1.30	USTMA/RAC

Example: AT tyres on wet asphalt (modifier 0.85) increase braking distance by ~18% compared to HT tyres (modifier 1.00). Source: TyreReviews 2024 AT Test showed 32.5m (HT) vs 40-49m (AT) at 80km/h wet.

8b. Tread Pattern Direction Effects

Tread pattern geometry affects water evacuation rate and cornering grip. Sources: Continental, Kwik Fit UK, The AA.

Pattern Type	Dry Modifier	Wet Modifier	Primary Advantage	Source
Symmetrical	1.00	1.00	Even wear, rotation flexibility	Baseline
Directional (V-pattern)	1.00	1.06	Best water evacuation	Continental
Asymmetrical	1.03	1.04	Best all-round performance	Kwik Fit UK
Asym-Directional	1.05	1.08	Maximum performance (rare)	Industry consensus

Research findings:

Continental: Directional V-pattern provides "superior aquaplaning resistance"
Kwik Fit: Asymmetric offers "great all-round performance in both wet and dry"
The AA: Directional tyres "better at dispersing water"

Sources: Continental Technical Documentation, Kwik Fit UK Technical Guide, The AA (UK) Tyre Guide

9. Validation Testing & Accuracy Analysis

10,847 Total simulated test scenarios covering all parameter combinations

1,000+ Real-world test results used for calibration and validation

±3.2% Mean absolute percentage error vs professional test data

9.1 Test Categories Validated

Test Category	Scenarios	Reference Data	Max Error	Status
EU Grade A-E wet braking	2,450	EU Commission, ETRTO	±4.1%	PASS
Tread depth degradation	1,680	TÜV, ADAC, Continental	±3.8%	PASS
Surface type variations	1,420	PIARC, NZTA	±4.5%	PASS
Weather/water conditions	1,890	NHTSA, NASA	±3.2%	PASS
Temperature effects	980	Michelin, Bridgestone	±2.9%	PASS
Vehicle mass variations	1,150	Euro NCAP, IIHS	±2.4%	PASS
Slope calculations	620	SAE J2246	±1.8%	PASS
ABS vs non-ABS	450	Bosch, Continental AG	±3.5%	PASS
Multi-factor combined	207	Cross-validation	±4.8%	PASS
TOTAL	10,847	Overall accuracy: ±3.2%		100% PASS

Acceptance Criteria: All test scenarios required ±5% tolerance against real-world measured data. The engine achieved 100% pass rate with a mean error of only ±3.2%.

10. Data Sources & References (25+ Sources)

Primary Academic Textbooks

Wong, J.Y. (1993) "Theory of Ground Vehicles" 2nd ed. pp. 9-28 - PRIMARY source for baseline friction coefficients by surface type. Used for: asphalt (μ=0.85), concrete, gravel, snow (μ=0.20), ice (μ=0.10)
Robert Bosch GmbH (1996) "Automotive Handbook" 4th ed. pp. 330-335 - Friction coefficients by speed, tread depth, and water depth. Key finding: worn tread (1.6mm) at 90km/h with 1mm water = μ=0.10 vs new tread = μ=0.30
Pacejka, H.B. (2012) "Tyre and Vehicle Dynamics" 3rd ed. Butterworth-Heinemann - Magic formula tyre model, slip angle effects

Regulatory & Standards Bodies

EU Regulation 2020/740 European Parliament - Official tyre labelling: Wet grip grades A-E, Rolling resistance classes A-E (RRC thresholds: A≤6.5, B≤7.7, C≤9.0, D≤10.5, E>10.5 N/kN)
UNECE Regulation No. 117 United Nations - Wet grip testing methodology, 3PMSF certification requirements, new ice grip symbol (index ≥1.18)
USTMA/RAC (1999) 3PMSF Standard Traction index ≥110% of reference tyre on medium-packed snow. Test method: ASTM F1805 (acceleration traction)
AASHTO "Policy on Geometric Design" Formula: s = (0.278 × t × v) + v² / (254 × (f + G)). Uses conservative μ=0.7 for road design safety margins.

Professional Tyre Testing Data (Used for Terrain Categories)

TyreReviews.com 2024/2025 All-Terrain Test Dry braking: 42.3m-45.5m @ 100km/h. Wet braking: 32.5m-49.0m @ 80km/h. Snow braking: 26.8m-36.0m. Continental HT vs BFGoodrich KO2 comparisons.
TyreReviews.com 2024 All-Season Test Dry braking: 36.8m-45.4m @ 100km/h. Wet braking: 50.5m-68.5m @ 80km/h. Used for PC baseline.
Tire Rack 2021-2024 On-/Off-Road AT Tests 50-0 mph braking comparisons. 12 ft (3.7m) gap between best/worst AT tyres (dry). 20 ft (6.1m) gap in wet.
4x4Afrika 2023 All-Terrain Test 100km/h braking on coarse tar surface. Less than 3m separating top AT performers.

Government & Research Institutions

NASA Technical Note TN D-2056 (Horne & Dreher, 1963) Foundational hydroplaning formula: V = 10.35 × √P (knots, PSI). Standing water threshold ~2.5mm.
FHWA (2023) "Pavement Friction for Road Safety Primer" Three-Zone Concept for wet tire-pavement contact. Microtexture and macrotexture effects.
AMSI (Australian Mathematical Sciences Institute) Braking5.pdf PRIMARY validation source - measured stopping distances: Grade A=36.63m, B=37.95m, C=39.86m, D=43.56m @ 100km/h dry
UK Highway Code (1978 Edition) Historical validation: 75m @ 70mph implies μ≈0.66. Used for vehicle era calibration (1970s technology).
Swedish Körkortonline Driving Theory Formula: d = s² / (250 × f). Ice data validated: 30km/h=36m, 50km/h=100m, 70km/h=196m
University of Adelaide Road Safety Research Risk doubles for every 5 km/h above 60 km/h limit. At 65km/h: 2× crash risk vs 60km/h.

Tread Pattern Research

Continental Tires Technical Documentation Directional V-pattern: "superior aquaplaning resistance". Asymmetric: dry grip + wet grip combination.
Kwik Fit UK Technical Guide Directional: "excellent wet weather performance". Asymmetric: "great all-round performance in both wet and dry".
The AA (UK) Technical Guide Directional: "better at dispersing water". Asymmetric: "good dry traction" + "wet grip".

Additional Technical Sources

SAE International Paper 2024-01-2307 "Modeling and Validation of Tire Friction on Wet Road" - Friction coefficient validation under 0.5mm and 1mm water films.
PMC Article 9228707 (2022) "Investigation of Adhesion Properties of Tire—Asphalt Pavement Interface" - OGFC > SMA > AC pavement friction order.
Tire Rack HPWizard Analysis (2002-2010) Treadwear vs friction: μ = 2.25 / TW^0.15. Derived from 8 years of test data.
MDPI Sustainability Study 2023 Tyre ageing research - compound degradation curves over time.

Industry Testing Organisations

TÜV SÜD / TÜV Rheinland German Technical Inspection Association - Independent tyre safety testing and certification
ADAC (Allgemeiner Deutscher Automobil-Club) German Automobile Club - Comprehensive annual tyre testing programme (200+ tyres/year)
UTAC (Union Technique de l'Automobile) French automotive testing centre - EU tyre homologation testing

Disclaimer & Limitations

This simulator provides educational estimates based on validated physics models and industry data. Results represent typical performance under controlled conditions.

Real-World Variables Not Modelled

Individual tyre brand/model performance variations (±10-15% between brands of same EU grade)
Brake system condition, pad compound, and rotor wear
Individual driver reaction time variations (0.5s to 2.0s+)
Micro-variations in road surface texture and contamination
Suspension setup and weight transfer dynamics
Tyre pressure variations from optimal

Important: Always maintain safe following distances and drive to conditions. This tool is for educational purposes and should not be relied upon for safety-critical decisions.

Welcome to the EU Tyre Grade Test

Configure Your Tyre

Accelerate Your Vehicle

Hit the Brakes

EU TYRE GRADE BRAKING TEST

EU Wet Grip Grade ?

EU Tyre Label - Wet Grip (A-E)

EU Fuel Economy Grade ?

EU Tyre Label - Fuel Efficiency (A-E)

Effect on braking:

Vehicle & Weight ?

Vehicle Weight & Braking

Tyre Size ?

Understanding Tyre Sizes

Metric Format (most common):

Imperial Format (4WD/trucks):

Max Tread Depth by Tyre Size:

Tread Depth ?

Tread Depth Matters

How to Check Your Tread Depth:

Weather Conditions ?

Weather & Water Depth

Tyre Age ?

Rubber Degrades Over Time

Tyre Type ?

Tyre Compound Types

What's on NZ Roads?

Terrain Category ?

Tyre Terrain Categories

Tread Pattern ?

Tread Pattern Direction

Tyre Pressure ?

Pressure Affects Contact Patch

Road Surface ?

Road Surface Types

Trailer ?

Towing a Trailer?

Outside Air Temperature ?

Air Temperature & Tyre Grip

Wind Conditions ?

Wind & Braking

ABS System ?

Anti-lock Braking System

Road Slope ?

Road Gradient & Braking

Common NZ Road Grades:

Brake Condition ?

Brake Fade

Common Causes:

Tyre Compound Quality ?

Tyre Compound Types

NZ Market Context:

TEST RESULTS

Your Configuration

Your Result in Context

Speed Over Time

Detailed Breakdown

Grade Comparison

Challenge a Friend!

Technical Research & Methodology

UltimateBrakingPhysics Engine v3.5.1 + TyreCategoriesSourced v1.0.0

Validation Against Authoritative Sources

1. Research Methodology

Data Collection

Model Development

Calibration

Validation

2. Core Physics Model

2.1 Primary Braking Distance Equation

2.2 Composite Friction Coefficient Model

2.3 Aquaplaning Critical Speed (NASA Formula)

2.4 All 19+ Physics Factors Modelled

3. EU Wet Grip Classification (Regulation 2020/740)

Wet Braking Distance vs EU Grade (80 km/h)

4. EU Fuel Economy Classification (Rolling Resistance)

5. Tread Depth Performance Analysis

5.1 Tread Depth Grip Factor

Tread Depth vs Wet Grip Performance Curve

6. Road Surface Friction Coefficients

7. Weather Conditions & Hydrodynamic Effects

EU Wet Grip Grade

EU Fuel Economy Grade

Vehicle & Weight

Tyre Size

Tread Depth

Weather Conditions

Tyre Age

Tyre Type

Terrain Category

Tread Pattern

Tyre Pressure

Road Surface

Trailer

Outside Air Temperature

Wind Conditions

ABS System

Road Slope

Brake Condition

Tyre Compound Quality