Dimensional Formula of Weight
The dimensional formula of weight is given by,
[M1 L1 T-2]
- M = Mass
- L = Length
- T = Time
Weight (W) = Mass × Acceleration . . . . . . (1)
Since, Acceleration = Velocity × [Time]-1
And, velocity is dimensionally represented as [M0 L1 T-1]
∴ The dimensional formula of acceleration = [M0 L1 T-2] . . . . . (2)
⇒ The dimensions of mass = [M1 L0 T0] . . . . (3)
On substituting equation (2) and (3) in equation (1) we get,
Weight = Mass × Acceleration
Or, W = [M1 L0 T0] × [M0 L1 T-2] = [M1 L1 T-2].
Therefore, the weight is dimensionally represented as [M1 L1 T-2].