Angular momentum ($L$) can be defined by the relation $L = \mathbf{r} \times \mathbf{p}$, where $\mathbf{r}$ is the position vector and $\mathbf{p}$ is the linear momentum ($p = mv$).

1. Identify Dimensions of Constituents: Mass ($m$): $[M]$ Velocity ($v$): $[LT^{-1}]$

• Radius/Distance ($r$): $[L]$

2. Calculate Dimensions: Substituting the dimensions into the formula $L = mvr$: $[L] = [M] \times [LT^{-1}] \times [L]$ $[L] = [ML^2T^{-1}]$ Alternatively, using the relation $L = I\omega$ (Moment of Inertia $\times$ Angular Velocity): Moment of Inertia ($I = mr^2$): $[ML^2]$ Angular Velocity ($\omega$): $[T^{-1}]$ $[L] = [ML^2] \times [T^{-1}] = [ML^2T^{-1}]$