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Illustration Tangential and Angular Acceleration during Non-Uniform Circular Motion

Tangential and angular acceleration for non-uniform circular motion
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A body moves on a circular orbit with radius \(r\) and accelerates with tangential acceleration \( a_{\text{tan}} \). This causes the tangential orbital velocity of the body to increase or decrease with time.

The angular acceleration \( \alpha \) is parallel or antiparallel to the axis of rotation, depending on whether the body is accelerating or decelerating on the circular path.