Banked Curves definitions Flashcards
Banked Curves definitions
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Banked CurveAn inclined path designed to help vehicles turn in a circle without relying on friction.Normal ForceThe force perpendicular to the surface of the incline, providing centripetal force in banked curves.Centripetal ForceThe force required to keep an object moving in a circular path, provided by the horizontal component of the normal force in banked curves.Incline AngleThe angle of the banked curve, crucial for determining the optimal velocity to prevent sliding.Centripetal AccelerationThe acceleration directed towards the center of the circular path, calculated as v^2/r.Free Body DiagramA visual representation of forces acting on an object, used to analyze motion on banked curves.Gravitational ForceThe force acting downwards on the car, equal to the car's mass times gravity.Horizontal ComponentThe part of the normal force that provides the necessary centripetal force for circular motion.Vertical ComponentThe part of the normal force that balances the gravitational force, preventing vertical acceleration.Optimal VelocityThe specific speed required to maintain a car's path on a banked curve without sliding.Radius of CurveThe distance from the center of the circular path to the curve, affecting the required centripetal force.Static FrictionThe force that prevents sliding on flat curves, absent in banked curve problems.Coordinate SystemThe reference frame used to analyze forces, not tilted in banked curve problems.Tangent FunctionA trigonometric function used to relate the incline angle to the normal force components.Mass CancellationThe process where mass terms cancel out in equations, simplifying the calculation of velocity.