Dimensions of Velocity

Dimensional Formula of Velocity

The dimensional formula of Velocity is given by,

MLT-1

Where,

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

Derivation

Velocity (V) = Displacement × Time-1 . . . . (1)

The dimensional formula of Displacement and Time is [M0 L1 T0] and [M0 L0 T1] respectively . . . . (2)

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

Velocity = Displacement × Time-1

Or, V = [M0 L1 T-1]

Therefore, velocity is dimensionally represented as [M0 L1 T-1].

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