Question

What is the dimensional formula of angular momentum?

Answer 1

Definition

The attribute of any rotating object that is supplied by the moment of inertia is multiplied either by angular velocity. It should be the attribute of a rotating body determined by the product of the rotating entity's moment of inertia as well as angular velocity.

1. Angular momentum is denoted by the symbol $\overrightarrow{\mathrm{L}}$.
2. The S.I unit of angular momentum is $\mathrm{Kg}.{\mathrm{m}}^2.{\mathrm{s}}^{-1}$

Dimension formula

Mathematically, the dimension of angular momentum can be represented as:

$\left[{\mathrm{M}}^1{\mathrm{L}}^2{\mathrm{T}}^{-1}\right]$

Here, M is the mass, L is the length, and T is the time.

Therefore, the dimensional formula of angular momentum will be $\left[{\mathrm{M}}^1{\mathrm{L}}^2{\mathrm{T}}^{-1}\right]$.