Modeling the acceleration of a car

AI Thread Summary
Modeling the acceleration of a car through its gears requires a formula that incorporates speed, current RPM, gear ratio, torque, and tire circumference. Torque curves can provide essential data for this model. Additionally, the rotational inertia of the tires must be considered, as they accelerate both angularly and linearly. The moment of inertia of the tires is crucial for accurate calculations. A comprehensive approach will yield a more precise understanding of a car's acceleration dynamics.
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.
 
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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.
 

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