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Centripetal Acceleration

This is an animated derivation using polar coordinates that produces both the magnitude and direction of the centripetal acceleration on an object moving at constant speed around a circular path. To use it you will have to provide the narration. Best wishes,

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Centripetal Acceleration

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  1. This is an animated derivation using polar coordinates that produces both the magnitude and direction of the centripetal acceleration on an object moving at constant speed around a circular path. To use it you will have to provide the narration. Best wishes, Leo Takahashi, The Pennsylvania State University, Beaver Campus

  2. Centripetal Acceleration A derivation using Polar Coordinates

  3. +y   R  +x = Cos + Sin = -Sin + Cos

  4. +y V R +x V = v

  5. = -Sin + Cos V = v( ) -Sin + Cos V = v = v(-Cos - Sin )

  6. S  R = v(-Cos - Sin ) V = v

  7. = (-Cos - Sin ) = v(-Cos - Sin ) = v(-Cos - Sin ) V2 = Cos + Sin V V - = - Cos - Sin

  8. V2 = () - ac = v2/R

  9. +y ac R +x ac = v2/R

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