Centripetal Acceleration

Centripetal Acceleration - Centripetal Acceleration Before...

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Centripetal Acceleration Before discussing the dynamics of uniform circular motion, we must explore its kinematics. Because the direction of a particle moving in a circle changes at a constant rate, it must experience uniform acceleration. But in what direction is the particle accelerated? To find this direction, we need only look at the change in velocity over a short period of time: Figure %: A particle in Uniform Circular Motion The diagram above shows the velocity vector of a particle in uniform circular motion at two instants of time. By vector addition we can see that the change in velocity, Δv , points toward the center of the circle. Since acceleration is the change in velocity over a given period of time, the consequent acceleration points in the same direction. Thus we define centripetal acceleration as an acceleration towards the center of a circular path. All objects in uniform circular motion must experience some form of uniform centripetal acceleration.
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Centripetal Acceleration - Centripetal Acceleration Before...

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