Unit 1.3 โ€“ SI Units (CGS, MKS Systems)

Physics โ†’ Physics โ†’ Physical World & Mechanics โ†’ Physical World & Mechanics โ†’ Physics & Measurement | Author: admin | Feb 28, 2026

In science and engineering, measurements play a crucial role in understanding the physical world. To ensure uniformity and accuracy in measurements, scientists have developed standardized systems of units. The most widely used system today is the International System of Units (SI), which evolved from earlier systems like the CGS and MKS systems. This unit explores these systems and their significance.

What Are Systems of Units?

A system of units is a collection of units of measurement that are used to quantify physical quantities. Different systems have been developed over time based on convenience and historical context. The three main systems we will discuss are:
  1. CGS System: Centimeter-Gram-Second
  2. MKS System: Meter-Kilogram-Second
  3. SI System: Modern International System of Units

1. CGS System (Centimeter-Gram-Second)

The CGS system was one of the earliest systems of measurement. It uses smaller units and is particularly useful for laboratory experiments involving small-scale phenomena.
Physical Quantity
Unit
Symbol
Length
Centimeter
cm
Mass
Gram
g
Time
Second
s
  • Applications: Used in fields like electromagnetism and fluid dynamics where small-scale precision is required.
  • Limitations: Not suitable for large-scale measurements like distances between cities or masses of heavy objects.

2. MKS System (Meter-Kilogram-Second)

The MKS system was developed to address the limitations of the CGS system. It uses larger units, making it more practical for everyday measurements.
Physical Quantity
Unit
Symbol
Length
Meter
m
Mass
Kilogram
kg
Time
Second
s
  • Applications: Widely used in engineering and mechanics before the adoption of the SI system.
  • Advantages: More suitable for real-world applications like measuring distances, weights, and time intervals.

3. SI System (International System of Units)

The SI system is the modern, globally accepted standard for measurements. It builds upon the MKS system and includes additional fundamental units to cover all aspects of physics.
Seven Fundamental SI Units
Physical Quantity
Unit
Symbol
Length
Meter
m
Mass
Kilogram
kg
Time
Second
s
Temperature
Kelvin
K
Electric Current
Ampere
A
Luminous Intensity
Candela
cd
Amount of Substance
Mole
mol
Derived SI Units
Derived units are formed by combining fundamental units. For example:
  • Speed = Distance รท Time โ†’ Unit: m/s
  • Force = Mass ร— Acceleration โ†’ Unit: kgยทm/sยฒ (also called Newton, N)
  • Advantages of SI System:
    • Universally accepted and consistent.
    • Easy to convert between units using powers of 10 (metric system).
    • Covers all branches of science and technology.

Comparison of Systems

System
Length
Mass
Time
CGS
Centimeter (cm)
Gram (g)
Second (s)
MKS
Meter (m)
Kilogram (kg)
Second (s)
SI
Meter (m)
Kilogram (kg)
Second (s)

Why Use SI Units?

  1. Global Standardization: Ensures consistency across countries and disciplines.
  2. Ease of Conversion: Metric prefixes (e.g., kilo-, milli-) simplify calculations.
  3. Scientific Precision: Provides accurate and reproducible results.

Key Takeaways

  • The CGS system uses smaller units like centimeters and grams, suitable for laboratory work.
  • The MKS system uses larger units like meters and kilograms, better for real-world applications.
  • The SI system is the modern standard, combining the strengths of earlier systems with additional fundamental units.
  • Always use SI units for scientific and technical communication.

Quick Recall Points

  • CGS: Centimeter-Gram-Second system.
  • MKS: Meter-Kilogram-Second system.
  • SI: International System of Units (modern standard).
  • Fundamental SI Units: Meter (m), Kilogram (kg), Second (s), Kelvin (K), Ampere (A), Candela (cd), Mole (mol).
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