Cornering Speed Calculator

Formula

The formula to calculate the cornering speed is:

\[ v = \sqrt{\frac{\mu \cdot g \cdot r}{1 - \left(\mu \cdot \frac{h}{w}\right)}} \]

Where:

\( v \) is the cornering speed (m/s)
\( \mu \) is the tire friction coefficient
\( g \) is the gravitational acceleration (9.81 m/s²)
\( r \) is the corner radius (m)
\( h \) is the vehicle height (m)
\( w \) is the track width (m)

What is Cornering Speed?

Cornering speed refers to the maximum speed at which a vehicle can safely navigate a turn or corner without losing traction. This speed is influenced by several factors, including the tire friction coefficient, gravitational acceleration, corner radius, vehicle height, and track width. Understanding and calculating cornering speed is crucial for vehicle dynamics and safety, especially in high-performance and racing scenarios.

Example Calculation

Let's assume the following values:

Tire Friction Coefficient (\( \mu \)): 0.8
Corner Radius (\( r \)): 50 m
Vehicle Height (\( h \)): 1.5 m
Track Width (\( w \)): 2 m

Step 1: Calculate the denominator:

\[ 1 - (0.8 \times \frac{1.5}{2}) = 0.4 \]

Step 2: Calculate the numerator:

\[ 0.8 \times 9.81 \times 50 = 392.4 \]

Step 3: Calculate the cornering speed:

\[ \sqrt{\frac{392.4}{0.4}} = 31.35 \text{ m/s} \]

Therefore, the cornering speed is approximately 31.35 m/s.