# Dimensions of Impulse

## Dimensional Formula of Impulse

The dimensional formula of impulse is given by,

M1 LT-1

Where,

• M = Mass
• L = Length
• T = Time

### Derivation

Impulse (I) = Force × Time . . . . (1)

Since, Force (F) = Mass × Acceleration = M × [LT-2]

∴ The dimensional formula of force = M1 L1 T-2 . . . . (2)

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

Impulse = Force × Time

Or, I = [M1 L1 T-2] × [T] = [M1 L1 T-1].

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