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CONSTANT ANGULAR ACCELERATION CURVE
Curve studied by Mikhail Gaichenkov in 2008. |
Differential equation : Polar equation : |
Cette courbe est la trajectoire d'un mouvement à
accélération angulaire constante non nulle.
Plus précisément, si une droite tourne uniformément
autour d'un de ses points, un point de cette droite se meut de sorte à
avoir un mouvement uniformément accéléré sur
sa trajectoire.
More precisely, if a line turns uniformly around one of its points, a point of this line moves so as to have a uniformly accelerated movement on its trajectory. |
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For |
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Note that the curve at zero angular acceleration (i.e.
at constant angular speed) is the circle.
We can also consider a curve drawn by a point moving on a line in uniform translation perpendicular to its direction with a uniformly accelerated movement on its trajectory: | ![]() |
Differential equation : Cartesian parametrization : Cartesian equation : Curvilinear abscissa : Radius of curvature : Intrinsic equation 1 : |
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© Robert FERRÉOL
2020