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# Dimensions of Momentum

## Dimensional Formula of Momentum

The dimensional formula of momentum is given by,

[M1 L1 T-1]

Where,

• M = Mass
• L = Length
• T = Time

### Derivation

Momentum (M) = Mass × Velocity . . . . . (1)

The dimensional formula of velocity = [M0 L1 T-1] . . . . (2)

And, the dimensional formula of mass = [M1 L0 T0] . . . . (3)

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

Momentum = Mass × Velocity

Or, M = [M1 L0 T0] × [M0 L1 T-1] = [M1 L1 T-1]

Therefore, momentum is dimensionally represented as [M1 L1 T-1].