The dimensional formula of angular momentum is [M1L2T−1][M^1L^2T^{-1}][M1L2T−1].

In words, this means:

  • Power of mass MMM = 1
  • Power of length LLL = 2
  • Power of time TTT = −1-1−1.

You can also see this by using L=r×pL=r\times pL=r×p, where rrr has dimension [L][L][L] and linear momentum ppp has dimension [MLT−1][MLT^{-1}][MLT−1], so overall:

[L]=[L]\times [MLT^{-1}]=[ML^2T^{-1}]$$.[4][8][9]