Question

write down the dimension of mass in terms of angular momentum and velocity?​

Answer 1

Answer:

Angular momentum

In SI base units kg m2 s−1

Conserved? yes

Derivations from other quantities L = Iω = r × p

Dimension M L2T−1

Answer 2

Let linear momentum be p⃗ and position vector be r⃗ .

So we have angular momentum to be p⃗ ×r⃗

So we have Angular momentum as rp sinθ . SI unit of angular momentum is m(kg-m s−1 )

Dimensional formula for angular momentum is

[kg- m2s−1 ] = ML2T−1

Angular momentum

L=MVR

Where M= Mass

V =Velocity

R= Perpendicular distance from a point about which angular momentum is to be determined.

For Dimensional formula

M = Mass

L= Length

T = Time

Velocity= L/T

So Dimensional formula for Angular momentum is ML2T−1

Hope it helps.