Dimensions of Weight

Dimensional Formula of Weight

The dimensional formula of weight is given by,

[M1 L1 T-2]

Where,

  • M = Mass
  • L = Length
  • T = Time

Derivation

Weight (W) = Mass × Acceleration . . . . . . (1)

Since, Acceleration = Velocity × [Time]-1

And, velocity is dimensionally represented as [MLT-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].

⇒ Check Other Dimensional Formulas:

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