> [!summary] A watt is the joule per second > Dimensional Analysis: $[W] = [ML^2 T^{-3}]$ >[!info]+ Read Time **⏱ 1 min** # Definition A watt is defined as a [[Joule|joule]] per second. $ W=\frac{J}{s} $ # Dimensional Analysis > [!warning] Assumptions Assume the standard quantity units for [[Dimensional Analysis|dimensional analysis]] Also assume that the dimensional units of a [[Joule|joule]] is $\text{J}=[ML^2T^{-2}]$ $ \begin{align*} [W] &= \frac{[J]}{[s]} \\ &= \frac{[ML^2T^{-2}]}{[T]} \\ &= [ML^2 T^{-3}] \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. ---