Lesson 03: Base and Derived Physical Quantities

Lesson 3/119 | Study Time: 30 Min
Course: Physics IX
Lesson 03: Base and Derived Physical Quantities

Learning Outcomes:



 i. Define and distinguish between base and derived physical quantities



 ii. Identify the seven base quantities of the International System of Units (SI)



 iii. Understand the concept of deriving units from base units



 iv. Provide examples of derived physical quantities and their corresponding units



 



Introduction



In the realm of physics, we encounter a vast array of physical quantities, each representing a measurable characteristic of the physical world. These quantities serve as the foundation for scientific inquiry, allowing us to quantify and compare various aspects of our surroundings. In this lesson, we will delve into the classification of physical quantities into base and derived quantities, unraveling their distinct roles in the world of measurement.



 



i. Base Quantities: The Building Blocks of Measurement



Base quantities, also known as fundamental units, are the seven fundamental physical quantities from which all other units can be derived. They represent the most basic and independent measures in the International System of Units (SI), the most widely used system of measurement in science and engineering. The seven base quantities and their corresponding SI units are:



Length: Meter (m)



Mass: Kilogram (kg)



Time: Second (s)



Electric Current: Ampere (A)



Temperature: Kelvin (K)



Luminous Intensity: Candela (cd)



Amount of Substance: Mole (mol)



Base quantities serve as the building blocks for measuring all other physical quantities, providing the foundation upon which we construct our understanding of the physical world.



 



ii. Derived Quantities: A World of Possibilities



Derived quantities are physical quantities that are obtained through mathematical combinations of base units. They represent a vast array of measurable properties that arise from the interplay of base quantities. For instance, velocity, which represents the rate of change of position, is a derived quantity obtained by combining the base quantities of length and time. Similarly, volume, a measure of the space occupied by an object, is derived by combining the base quantity of length three times.



Derived quantities encompass a wide range of physical properties, from the acceleration of a falling object to the energy content of a fuel source. Their units are expressed as combinations of base units, reflecting the mathematical relationships between the physical quantities they represent.



iii. The Interdependence of Base and Derived Quantities



Base and derived quantities are interconnected, with derived quantities being built upon the foundation of base quantities. The SI system provides a comprehensive set of base units from which a vast array of derived units can be derived through appropriate mathematical combinations. This hierarchical structure ensures consistency and accuracy in measurements across various scientific disciplines.



 



The classification of physical quantities into base and derived quantities provides a structured framework for understanding and measuring the physical world. Base quantities serve as the fundamental units from which all other units are derived, while derived quantities represent a vast array of measurable properties arising from the interplay of base quantities. The SI system, with its seven base units and comprehensive set of derived units, provides a standardized language for scientific communication and measurement across the globe.



 

Ali khan

Ali khan

Product Designer

Class Sessions

1- Lesson 01: The Role of Physics in Science, Technology, and Society 2- Lesson 02: Physical Quantities: Numerical Magnitude and Units 3- Lesson 03: Base and Derived Physical Quantities 4- Lesson 04: The International System of Units (SI) 5- Lesson 05: Scientific Notation 6- Lesson 06: Measuring Length with Vernier Calipers and Screw Gauge 7- Lesson 07: Significant Figures 8- Lesson 01: Motion at Rest and in Motion 9- Lesson 02: Types of Motion 10- Lesson 03: Distance versus Displacement 11- Lesson 04: Speed versus Velocity 12- Lesson 05: Scalar and Vector Quantities 13- Lesson 06: Representing Vector Quantities 14- Lesson 07: Speed, Velocity, and Acceleration 15- Lesson 08: Distance-Time Graphs and Speed-Time Graphs 16- Lesson 09: Interpreting Distance-Time and Speed-Time Graphs 17- Lesson 10: Determining the State of a Body from a Graph 18- Lesson 11: Calculating Distance Using Speed-Time Graphs 19- Lesson 12: Deriving Equations of Motion for Uniformly Accelerated Motion 20- Lesson 13: Solving Problems Related to Uniformly Accelerated Motion 21- Lesson 14: Solving Problems Related to Freely Falling Bodies 22- Lesson 01: Defining Key Concepts in Dynamics 23- Lesson 02: Applying the Momentum-Force Equation 24- Lesson 03: Understanding Force through Practical Examples 25- Lesson 04: Newton's Laws of Motion 26- Lesson 05: Distinguishing Mass and Weight 27- Lesson 06: Applying Newton's Second Law in String Systems 28- Lesson 07: The Law of Conservation of Momentum 29- Lesson 08: Using Conservation of Momentum in Collisions 30- Lesson 09: Determining Velocities after Collisions 31- Lesson 10: Understanding the Effects of Friction 32- Lesson 11: Comparing Rolling and Sliding Friction 33- Lesson 12: Reducing Friction 34- Lesson 13: Understanding Motion in Curved Paths 35- Lesson 14: Calculating Centripetal Force 36- Lesson 15: Understanding Sudden Changes in Motion 37- Lesson 16: Imagining a World Without Friction 38- Lesson 01: Identifying Like and Unlike Parallel Forces 39- Lesson 02: Applying the Head-to-Tail Rule for Vector Addition 40- Lesson 03: Resolving Forces into Perpendicular Components 41- Lesson 04: Determining Magnitude and Direction from Perpendicular Components 42- Lesson 05: Defining Moment of Force and Torque 43- Lesson 06: Relating Turning Effect of Force to Daily Life 44- Lesson 07: Understanding the Principle of Moments 45- Lesson 08: Understanding Center of Mass and Center of Gravity 46- Lesson 09: Defining and Exploring Couples 47- Lesson 10: Proving the Consistent Moment of a Couple 48- Lesson 11: Defining Equilibrium and Its Types 49- Lesson 12: Understanding the Conditions for Equilibrium 50- Lesson 13: Solving Problems on Simple Balanced Systems 51- Lesson 14: Exploring States of Equilibrium and Their Classification 52- Lesson 15: Analyzing the Effect of Center of Mass Position on Stability 53- Lesson 01: Newton's Law of Gravitation 54- Lesson 02: Consistency with Newton's Third Law 55- Lesson 03: Gravitational Field as an Example of Field of Force 56- Lesson 04: Defining Weight 57- Lesson 05: Calculating Earth's Mass Using Newton's Law 58- Lesson 06: Solving Problems Using Newton's Law of Gravitation 59- Lesson 07: Variation of 'g' with Altitude 60- Lesson 08: Importance of Newton's Law in Satellite Motion 61- Lesson 01: Defining and Measuring Work 62- Lesson 02: Exploring Energy and Its Forms 63- Lesson 03: Energy Conversion and Its Applications 64- Lesson 04: Mass-Energy Equivalence and Its Significance 65- Lesson 05: Electricity Generation from Fossil Fuels 66- Lesson 06: Energy Conversion Processes 67- Lesson 07: Solar Energy Conversion 68- Lesson 08: Nuclear Energy and the Mass-Energy Equation 69- Lesson 09: Geothermal Energy and Wind Energy 70- Lesson 10: Biomass Energy Conversion 71- Lesson 11: Electricity Generation from Fossil Fuels 72- Lesson 12: Mass-Energy Equation and Problem-Solving 73- Lesson 13: Environmental Impact of Power Generation 74- Lesson 14: Identifying Non-Renewable and Renewable Energy Sources 75- Lesson 15: Energy Flow Diagrams in Steady-State Systems 76- Lesson 16: Defining and Calculating System Efficiency 77- Lesson 17: Explaining the Limitations of Efficiency 78- Lesson 18: Defining and Calculating Power 79- Lesson 19: Understanding the SI Unit of Power and Its Conversion 80- Lesson 20: Solving Problems Using Mathematical Relations 81- Lesson 01: Kinetic Molecular Model of Matter 82- Lesson 02: The Fourth State of Matter: Plasma 83- Lesson 03: Defining Density 84- Lesson 04: Understanding Pressure 85- Lesson 05: Atmospheric Pressure 86- Lesson 06: Measuring Atmospheric Pressure with a Liquid Column 87- Lesson 07: Atmospheric Pressure and Weather Changes 88- Lesson 08: Pascal's Law 89- Lesson 09: Applying Pascal's Law 90- Lesson 10: Pressure in Liquids 91- Lesson 11: Archimedes' Principle 92- Lesson 12: Determining Density with Archimedes' Principle 93- Lesson 13: Upthrust 94- Lesson 14: Principle of Floatation 95- Lesson 15: Stress, Strain, and Young's Modulus 96- Lesson 16: Hooke's Law and Elastic Limit 97- Lesson 01: Understanding Temperature 98- Lesson 02: Defining Heat 99- Lesson 03: Properties of Thermometers 100- Lesson 04: Temperature Conversion 101- Lesson 05: Internal Energy and Temperature 102- Lesson 06: Heat Capacity and Specific Heat Capacity 103- Lesson 07: Heat of Fusion and Vaporization 104- Lesson 08: Measuring Heat of Fusion and Vaporization 105- Lesson 09: Evaporation and Boiling 106- Lesson 10: Cooling Effect of Evaporation 107- Lesson 11: Factors Affecting Surface Evaporation 108- Lesson 12: Thermal Expansion of Solids 109- Lesson 13: Thermal Expansion of Liquids 110- Lesson 14: Solving Numerical Problems 111- Lesson 01: Heat Transfer Principles 112- Lesson 02: Heat Transfer in Solids 113- Lesson 03: Thermal Conductivity and Problem-Solving 114- Lesson 04: Good and Bad Conductors of Heat 115- Lesson 05: Convection Currents 116- Lesson 06: Examples of Convection in Everyday Life 117- Lesson 07: Insulation and Heat Transfer 118- Lesson 08: Radiation: Heat Transfer without Medium 119- Lesson 09: Applications of Radiation