* M: Mass (kg)
* L: Length (m)
* T: Time (s)
Derivation:
Angular momentum (L) is defined as the product of moment of inertia (I) and angular velocity (ω):
* L = Iω
Moment of inertia (I) is a measure of an object's resistance to rotational motion. Its dimension is:
* [I] = [M L²]
Angular velocity (ω) is the rate of change of angular displacement. Its dimension is:
* [ω] = [T⁻¹]
Therefore, the dimension of angular momentum is:
* [L] = [I] * [ω] = [M L²] * [T⁻¹] = [M L² T⁻¹]
In simpler terms:
* Angular momentum is a measure of how much an object is rotating.
* It depends on both the mass of the object and how far that mass is distributed from the axis of rotation (moment of inertia).
* It also depends on how fast the object is rotating (angular velocity).
