Modeling the acceleration of a car

• DerPfeil
In summary, the conversation is discussing how to model the acceleration of a car through its gears. The formula would need to factor in the current rpm, gear ratio, torque, and tire circumference. It is suggested to look at published torque curves for starting data. Additionally, rotational inertia in the tires must be considered, as they are accelerating both angularly and linearly. Their moment of inertia is needed for the formula.
DerPfeil
i'm curious as to how one could model the acceleration of a car through the gears. it would have to be a formula for speed i think, and it would depend upon the current rpm, the gear ratio, the torque (and horsepower derived from it), and the circumference of the tire. i'd appreciate any input.

You have a good start there. Torque curves are sometimes published so you could get your starting data there.

Another issues to consider: Rotational inertia in the tires. They are accelerating angularly and linearly at the same time. So you need their moment of inertia.

What is modeling the acceleration of a car?

Modeling the acceleration of a car is the process of creating a mathematical representation of how a car's speed changes over time. This model takes into account various factors such as the car's starting speed, engine power, weight, and external forces like friction and air resistance.

Why is modeling the acceleration of a car important?

Modeling the acceleration of a car is important because it helps us understand how different factors affect a car's speed. This information can be useful for designing cars with better acceleration, predicting a car's performance, and improving safety measures.

What are the types of mathematical models used to represent a car's acceleration?

The two most commonly used mathematical models for car acceleration are the linear model and the quadratic model. The linear model assumes that the car's acceleration is constant, while the quadratic model takes into account the changing acceleration due to external forces.

How accurate are these models in predicting a car's acceleration?

The accuracy of the models depends on the specific factors and variables included in the model. Generally, the more factors that are taken into account, the more accurate the model will be. However, there will always be some degree of error due to external factors that cannot be accurately predicted.

What are some real-world applications of modeling the acceleration of a car?

Modeling the acceleration of a car is used in various industries such as automotive engineering, motorsports, and transportation planning. It is also used for developing driving simulators and in research to improve the safety and efficiency of vehicles.

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