# Dimensions of Acceleration Due To Gravity

## Dimensional Formula of Acceleration Due To Gravity

The dimensional formula of Acceleration Due To Gravity is given by,

[M0 L1 T-2]

Where,

• M = Mass
• L = Length
• T = Time

### Derivation

Since, Force = Mass × Acceleration due to gravity

∴ Acceleration due to gravity (g) = Force × [Mass]-1 . . . . . (1)

Dimensional formula of the mass = [M1 L0 T0] . . . . . (2)

Also, the dimensions of Force = [M1 L1 T-2] . . . . (3)

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

Acceleration due to gravity = Force × [Mass]-1

Or, g = [M1 L1 T-2] × [M1 L0 T0]-1 = [M0 L1 T-2].

Therefore, acceleration due to gravity is dimensionally represented as [M0 L1 T-2].

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