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].

Card 1 of 1 free previews

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].

More in Physics

⚡

Power of a Lens — Formula, Unit and Definition

Learn the formula for the Power of a Lens (P = 1/f). Understand its SI unit (Dioptre), sign conventions for convex and concave lenses.

⚡

प्रतिरोध का SI मात्रक (SI Unit of Resistance)

जानें प्रतिरोध (Resistance) का SI मात्रक क्या है। ओम (Ohm) की परिभाषा और ओम का नियम (Ohm's Law) कक्षा 10 विज्ञान के लिए।

⚡

Define Principal Focus of a Concave Mirror

Learn the definition of the principal focus of a concave mirror. Understand how parallel light rays converge at this point after reflection.

⚡

Prism Formula – Refractive Index and Angle of Deviation

Learn the complete Prism formula for Class 12 Physics. Understand the formulas for angle of deviation, minimum deviation, and refractive index of a prism.

⚡

Properties of Magnets and Magnetic Field Lines

Learn the 7 key properties of magnets and the 6 important properties of magnetic field lines for Class 10 Physics. Master these for board exam success.

Study Smarter with Shinyu.ai

Turn this guide into revision flashcards, a practice exam, or an AI-generated podcast — free, no signup required.