Dimensions of Work

Dimensional Formula of Work

The dimensional formula of Work is given by,

M1 L-2 T-2

Where,

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

Derivation

Work (W) = Force × Displacement . . . . . (1)

Since, Force = Mass × acceleration = M × [L T-2]

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

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

Work = Force × Displacement

Or, W = [MLT-2] × [MLT0] = [M1 LT-2].

Therefore, work is dimensionally represented as [M1 LT-2].

⇒ Check Other Dimensional Formulas:

Leave a Comment

Your email address will not be published. Required fields are marked *