Question

what is the dimensional formula of angular momentum? derive it ......... ​

Answer 1

Answer:

In SI base units kg m2 s−1

Conserved? yes

Answer 2

Answer:

Dimensional Formula of Angular Momentum

The dimensional formula of angular momentum is given by,

M1 L2 T-1

Where,

M = Mass

L = Length

T = Time

Derivation

Angular Momentum = Angular Velocity × Moment of Inertia . . . . (1)

Since, Angular Velocity = Angular displacement × [Time]-1 = [M0L0T0] [T]-1

∴ The dimensional formula of Angular Velocity = M0 L0 T-1 . . . . . . (2)

And, Moment of Inertia, M.O.I = Mass × (Radius of Gyration)2

∴ The dimensional formula of M.O.I = M1 L2 T0 . . . . . (3)

On substituting equation (2) and (3) in equation (1) we get,

Angular Momentum = Angular Velocity × Moment of Inertia

Or, M = [M0 L0 T-1] × [M1 L2 T0]-1 = M1 L2 T -1.

Therefore, the angular momentum is dimensionally represented as M1 L2 T -1.