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Angular acceleration is the rate at which an object's angular velocity changes over time. Angular velocity, often symbolized by the Greek letter omega ((\omega)), describes how quickly an object rotates or revolves around an axis.12

If angular acceleration ((\alpha)) is constant and non-zero, the angular velocity ((\omega)) changes linearly with time ((t)), and the angular displacement ((\theta)) changes with the square of time: (\omega = \alpha t) and (\theta = \frac{1}{2}\alpha t^2). This concept is crucial in understanding circular motion, where even if speed is constant, a changing direction of velocity implies acceleration.23

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