Cornering Force (or Side Force) is the lateral force produced by an object when turning, typically associated with the turning of a motor vehicle. Cornering Force is most commonly associated with motor sports including Formula 1 Racing and motorbike racing. Understnading the Cornering force allows us to calculate the maximum speed acheiveable for a vehicle transiting a corner of bend using quantified metrics including the radius and slope of the surface when considering the mass and velocity of the vehicle in motion.
|The Static Friction (sf) is N|
|The Total Net Force (tnf) is N|
|The Maximum Speed (m) is|
|Cornering Force Static Friction Formula and Calculations|
|sf = f × m × g × sin(s) × 100|
sf = × × × sin() × 100
sf = × × × × 100
|Cornering Force Total Net Force Formula and Calculations|
|tnf = f × m × g × sin(s) + m × g × cos(s) × 100|
tnf = × × × sin() + × × cos() × 100
tnf = × × × + × × × 100
tnf = + × 100
tnf = × 100
|Cornering Force Maximum Speed Formula and Calculations|
|m = √f × m × g × sin(s) + m × g × cos(s) × r/m|
m = √ × × × sin() + × × cos() × /
m = √ × × × + × × × /
m = √ + × /
m = √ × /
m = √/
m = √
|Cornering Force Calculator Input Values|
|Static Friction Coefficient (f) is|
|Gravity Accelaration (g) is|
|Mass of Vehicle (m) is|
|Radius (r) is|
|Slope of the Road (s) is|
Please provide a rating, it takes seconds and helps us to keep this resource free for all to use
Welcome to the Cornering Force Calculator tutorial. In this tutorial, we will discuss the concept of cornering force in vehicle dynamics and how it is calculated. Cornering force is a critical aspect of vehicle performance and handling, particularly in situations where vehicles need to negotiate turns or curves. Understanding and quantifying the cornering force helps engineers design and optimize vehicle suspension systems, tires, and overall stability.
The formula for calculating the cornering force is as follows:
The cornering force formula can be derived from the principles of Newton's second law of motion and the relationship between force, mass, and acceleration. It indicates that the cornering force is directly proportional to the vehicle's mass and the lateral acceleration it experiences during cornering. The force is inversely proportional to the effective tire radius, which accounts for the tire's grip and the leverage it has on the vehicle's motion.
Let's consider an example to demonstrate the calculation of cornering force. Suppose we have a sports car with a mass of 1,500 kilograms (kg). During a cornering maneuver, the car experiences a lateral acceleration of 2.5 m/s2. The effective tire radius is measured to be 0.35 meters (m).
Using the cornering force formula, we can calculate:
Therefore, the cornering force exerted on the car is approximately 10,714.29 Newtons (N).
The calculation of cornering force plays a crucial role in vehicle dynamics and handling. Engineers use this information to optimize various aspects of vehicle design and performance, including:
By accurately calculating and analyzing cornering forces, engineers can fine-tune vehicle characteristics to achieve the desired balance between performance, safety, and comfort.
The cornering force calculator provides a valuable tool for engineers and automotive enthusiasts to understand and quantify the lateral forces acting on a vehicle during cornering. By considering factors such as vehicle mass, lateral acceleration, and effective tire radius, the calculator helps optimize suspension systems, tire selection, and overall vehicle dynamics for improved handling, safety, and performance. Understanding cornering forces is essential in various industries, including automotive engineering, motorsports, and vehicle safety. It allows for the development of vehicles that offer precise control, enhanced stability, and an exhilarating driving experience.
You may also find the following Engineering calculators useful.