Study Guides/Physics/Acceleration Dimensional Formula
Study Guide · Physics

Dimensional Formula of Acceleration

In physics, acceleration is defined as the rate of change of velocity with respect to time. Finding the dimensional formula of acceleration is a fundamental concept in Class 11 physics mechanics.

Question (Click to Flip)

What is the dimensional formula for force?

Answer

Since Force = Mass × Acceleration, its dimensional formula is [M1 L1 T-2].

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Key Facts

The SI unit of acceleration is meters per second squared (m/s²).

Because mass is not involved in kinematics, 'M' has a power of 0.

Acceleration is a vector quantity.

1. The Formula

The dimensional formula of acceleration is written as:

  • $[M^0 L^1 T^{-2}]$

Where:

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

2. How to Derive It

Acceleration = Velocity ÷ Time

  • We know Velocity = Displacement ÷ Time = $[L^1 T^{-1}]$
  • Therefore, Acceleration = $[L^1 T^{-1}] ÷ [T^1]$
  • This simplifies to $[M^0 L^1 T^{-2}]$.

Questions and Answers

What is the dimensional formula for force?+

Since Force = Mass × Acceleration, its dimensional formula is [M1 L1 T-2].

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