> [!summary] The period is the time to complete one rotation. Frequency is the rotations per second > **Key Equations:** > Period: $T = \text{Time for one cycle}$ > Frequency: $f =\frac{\text{Cycles}}{\text{second}}$ > Reciprocal: $T = \frac{1}{f}$ $f=\frac{1}{T}$ >[!info]+ Read Time **⏱ 1 min** # Definition Angular frequency and period both describe how fast an object is rotating around a circle. Period ($T$) is the time to take to complete 1 full rotation (one oscillation or revolution). It is measured in seconds. Frequency ($f$) is the number of cycles per second, measured in Hz. $ \begin{align*} \text{Period} &= \text{Time for one cycle} \\ &= \frac{1}{f} \\ \\ \text{Frequency} &= \frac{\text{Cycles}}{\text{Second}} \\ &= \frac{1}{T} \end{align*} $ --- > ✍️ This project’s been a labour of love. > If it helped, [give Math & Matter a star](https://github.com/rajeevphysics/Obsidian-MathMatter) and let me know what you'd like to see next. ---