> [!summary] Angular acceleration describes the acceleration of rotating objects. > **Key Equations:** > Angular acceleration: $\alpha=\frac{d\omega}{dt}$ > Tangential angular acceleration: $\alpha_{t}=r\alpha$ >[!info]+ Read Time **⏱ 1 min** # Definition Angular acceleration describes the rotational acceleration an object has. It is a [[Scalar & Vectors|vector]] quantity. Mathematically, it is the [[Derivative|derivative]] of [[Angular Velocity|angular velocity]]. $ \alpha=\frac{d\omega}{dt} $ > [!note] Tangential component Since angular acceleration is acceleration on a curve, it can have an [[Tangential & Perpendicular|tangential]] component to its direction. Given as the angular acceleration a distance away. > $\alpha_{t}=r\alpha$ --- > 🧠 Enjoy this walkthrough? [Support Math & Matter](https://github.com/rajeevphysics/Obsidian-MathMatter) with a star and help others learn more easily. ---