Dimensional Formula of Acceleration Due To Gravity
The dimensional formula of Acceleration Due To Gravity is given by,
[M0 L1 T-2]
- M = Mass
- L = Length
- T = Time
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].