How is the track radius and design speed at a curve of a F1 track calculated?
A car going around a corner is undergoing an acceleration toward the inside of the curve called “centripetal” acceleration. The force causing this acceleration is provided by the tires, acting toward the inside of the curve. This force is caused by the friction between the tire and the road, which is affected by the tire design and composition, the weight and moment (load transfer) on each of the tires and the aerodynamic down force on the tires, among other things.
The force keeping a car on a curve of a constant radius is equal to its mass times its velocity squared, divided by the radius of the curve.
F = m v^2 / r Now this is also equal to “ma”, from the Second Law: mv^2 / r = ma
The mass term on each side of the equation cancels out, so this equation is good for any weight of car: v^2 / r = a
Rules of Thumb!
Yoseph Gettu.
The force keeping a car on a curve of a constant radius is equal to its mass times its velocity squared, divided by the radius of the curve.
F = m v^2 / r Now this is also equal to “ma”, from the Second Law: mv^2 / r = ma
The mass term on each side of the equation cancels out, so this equation is good for any weight of car: v^2 / r = a
Rules of Thumb!
Yoseph Gettu.
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