Study Guides/Physics/Dimensional Formula of Velocity
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Dimensional Formula of Velocity and Acceleration

Velocity is the rate of change of displacement. It is one of the most basic derived quantities in Physics, and its dimensional formula is used to build almost all other formulas (like Force, Work, and Power).

Question (Click to Flip)

What is the dimensional formula of velocity?

Answer

The dimensional formula of velocity is [L T⁻¹] (or [M⁰ L¹ T⁻¹]).

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Key Facts

Velocity Formula: Displacement / Time.

Velocity Dimension: [L T⁻¹].

Acceleration Formula: Velocity / Time.

Acceleration Dimension: [L T⁻²].

SI Unit of Velocity: m/s.

Dimensional Formula of Velocity

Formula: Velocity = Displacement / Time

  • Dimension of Displacement (Distance) = [L]
  • Dimension of Time = [T]

Calculation: Velocity = [L] / [T] Dimensional Formula = [M⁰ L¹ T⁻¹] (or simply [L T⁻¹])

Dimensional Formula of Acceleration

Since they are closely related, let's find Acceleration as well. Formula: Acceleration = Change in Velocity / Time

  • Dimension of Velocity = [L T⁻¹]
  • Dimension of Time = [T]

Calculation: Acceleration = [L T⁻¹] / [T] Dimensional Formula = [M⁰ L¹ T⁻²] (or simply [L T⁻²])

Speed vs Velocity

Both Speed (Distance/Time) and Velocity (Displacement/Time) have the exact same dimensional formula [L T⁻¹] and SI unit (m/s). The only difference is that velocity is a vector (has direction) while speed is a scalar.

Questions and Answers

What is the dimensional formula of velocity?+

The dimensional formula of velocity is [L T⁻¹] (or [M⁰ L¹ T⁻¹]).

Do speed and velocity have the same dimensions?+

Yes, both speed and velocity share the exact same dimensional formula: [L T⁻¹].

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