Cornering Force Calculator

Vehicle Cornering Force and Speed Estimator

Input Fields

Static friction coefficient

μ

Gravity accelaration

g

m/s²

Mass of vehicle

m

kg

Radius

r

m

Slope of the road

α

°

CalculateReset

Calculate automaticallyIf enabled, the result will update automatically when you change any value.

Your Results

Static friction

Total net force

Maximum speed

Leave a Comment

How did this result make you feel?

1😀 Like 0💡 Helpful 0😕 Confused 0😞 Disappointed 0❌ Inaccurate

Cornering Force and Velocity Formula

\[\text{Friction Force (t)} = \mu \cdot m \cdot g \cdot \sin(\alpha) \]\[\text{Net Force (f)} = (\mu \cdot m \cdot g \cdot \sin(\alpha)) + (m \cdot g \cdot \cos(\alpha)) \]\[\text{Max Speed (v)} = \sqrt{\frac{f \cdot r}{m}} \cdot 3.6 \]

Where:

• $$\mu$$ = coefficient of friction
• $$m$$ = mass of the vehicle (kg)
• $$g$$ = gravitational acceleration (9.81 m/s²)
• $$\alpha$$ = road banking angle (in radians)
• $$r$$ = curve radius (m)
• $$v$$ = maximum velocity (km/h)

These formulas are used to estimate the lateral force exerted on a vehicle as it corners, which is critical in roadway curve design. The frictional force component reflects grip due to road conditions and incline. Net force combines this with normal force effects from banking. The final equation estimates the highest safe speed before losing traction — essential for highway curve safety and motorsport track design.