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What are measurements?

Aug 25, 2025

Overview

This lecture covers the basics of measurement in science, focusing on physical quantities, their classification, units, and various systems of units, including the SI system.

Qualitative vs. Quantitative Observations

  • Qualitative observations describe qualities like color, smell, or taste and cannot be measured numerically.
  • Quantitative observations involve measurements such as mass, volume, or density that can be assigned numbers and units.

Physical Quantities

  • Physical quantities are properties of matter or phenomena that can be measured, like mass or length.
  • Measuring physical quantities requires both a numerical value and a unit (e.g., 5 meters).

Measurement Process

  • Measurement involves comparing a quantity to a standard of the same kind (the unit).
  • The result expresses how many times the standard unit fits into the quantity measured.

Types of Physical Quantities

  • Base quantities are fundamental and independent, including length, mass, time, electric current, temperature, amount of substance, and luminous intensity.
  • Derived quantities are formed by multiplying or dividing base quantities (e.g., area = length × length, density = mass/volume).

Units and Their Types

  • A unit is a constant quantity used to measure other quantities.
  • Units must be clearly defined, reproducible, and stable over space and time.
  • Base units correspond to base quantities (meter, kilogram, second, etc.).
  • Derived units are based on base units (e.g., square meter for area).

Systems of Units

  • CGS system: uses centimeter, gram, second.
  • MKS system: uses meter, kilogram, second.
  • FPS system: uses foot, pound, second.

International System of Units (SI)

  • SI is the modern metric system, standardizing measurement globally.
  • SI has seven base units: meter (length), kilogram (mass), second (time), mole (amount of substance), kelvin (temperature), ampere (electric current), and candela (luminous intensity).
  • SI units are used internationally for scientific communication.

Key Terms & Definitions

  • Qualitative observation — observation based on qualities not measurable numerically.
  • Quantitative observation — observation based on measurable properties.
  • Physical quantity — a measurable property of matter or phenomena.
  • Base quantity — independent physical quantity (e.g., length, mass).
  • Derived quantity — quantity derived from base quantities.
  • Unit — standard quantity used in measurement.
  • Base unit — fundamental unit for a base quantity.
  • Derived unit — unit derived from base units.
  • SI unit system — the standardized international system of measurement.

Action Items / Next Steps

  • Review examples of base and derived quantities.
  • Memorize the seven SI base units and their corresponding quantities.