Home / Physics / Dimensions and Derivation of Velocity - Testbook.com

Dimensions and Derivation of Velocity - Testbook.com

Last Updated on Jul 31, 2023
Download As PDF
IMPORTANT LINKS
Branches of Physics Murphys Law Weightlessness Braille Humidity The International System of Units Measurement of Speed Spherometer Micrometer Sonometer Difference Between Mass and Volume Unit of Mass Difference Between Density and Volume Density of Air Relation Between Pascal and Bar Impulse Units Relation Between Calorie and Joule Difference Between Kva and Kw Unit of Pressure Relation Between Pressure and Density

What is the Dimensional Formula of Velocity?

Velocity, a fundamental concept in physics, can be defined using a dimensional formula. This formula is a representation of the physical quantity in terms of its basic quantities of Mass (M), Length (L), and Time (T).

The dimensional formula for Velocity is represented as:

M0L1T-1

In this formula,

  • M denotes Mass
  • L stands for Length
  • T signifies Time

How is the Dimensional Formula of Velocity Derived?

The derivation of the dimensional formula of velocity is based on its definition. Velocity (V) is defined as the ratio of Displacement to Time, i.e., V = Displacement × Time-1.

Considering the dimensional formula of Displacement as [M0L1T0] and Time as [M0L0T1], we can substitute these values into the equation.

After substitution, the equation becomes:

Velocity = Displacement × Time-1

Or, V = [M0L1T-1]

This implies that the dimensional representation of Velocity is [M0L1T-1].

Explore More Dimensional Formulas:

More Articles for Physics

Frequently Asked Questions

The dimensional formula of velocity is M0L1T-1

In the dimensional formula of velocity, M represents Mass, L represents Length, and T represents Time.

The dimensional formula of velocity is derived from the formula Velocity (V) = Displacement × Time-1.

Test Series
131k Students
NCERT XI-XII Physics Foundation Pack Mock Test
323 TOTAL TESTS | 5 Free Tests
  • 3 Live Test
  • 163 Class XI Chapter Tests
  • 157 Class XII Chapter Tests
Get Started
Report An Error
Exams Tests Super Practice