Understanding SI Units and Prefixes

Aug 20, 2024

SR Unit and SI Prefix Lecture Notes

Introduction

  • SR Unit: International unit for quantities.
  • Seven Major Quantities: Foundation for all other units.

SI Units for Major Quantities

  • Length:
    • Unit: Meter
    • Symbol: m (lowercase)
  • Mass:
    • Unit: Kilogram
    • Symbol: kg (lowercase k)
  • Time:
    • Unit: Second
    • Symbol: s (lowercase)
  • Temperature:
    • Unit: Kelvin
    • Symbol: K (uppercase)
  • Amount of Substance:
    • Unit: Mole
    • Symbol: mol
  • Electric Current:
    • Unit: Ampere
    • Symbol: A
  • Luminous Intensity:
    • Unit: Candela
    • Symbol: cd

Derived Units

  • Area:
    • Formula: Length Ɨ Length
    • Unit: Meter² (m²)
  • Volume:
    • Formula: Length Ɨ Length Ɨ Length
    • Unit: Meter³ (m³)
  • Speed/Velocity:
    • Formula: Distance/Time
    • Unit: Meter/Second (m/s)
  • Acceleration:
    • Formula: Change of Speed/Time
    • Unit: Meter/Second² (m/s²)
  • Force:
    • Formula: Mass Ɨ Acceleration
    • Unit: Kilogram Meter/Second² (kgĀ·m/s²)
    • Alternative Notation: kgĀ·mĀ·s⁻²

Scientific Notation and SI Prefixes

  • Used for very large or small numbers in physics and chemistry.
  • Common SI Prefixes:
    • Giga: 10⁹, Symbol: G
    • Mega: 10⁶, Symbol: M
    • Kilo: 10³, Symbol: k
    • Centi: 10⁻², Symbol: c
    • Milli: 10⁻³, Symbol: m
    • Micro: 10⁻⁶, Symbol: µ (mu)
    • Nano: 10⁻⁹, Symbol: n
    • Pico: 10⁻¹², Symbol: p

Examples of Using SI Prefixes

  • Milli:
    • Example: 10⁻³ → 1.2 mg (milligram)
  • Nano:
    • Example: 10⁻⁹ → 5.22 nm (nanometer)
  • Giga:
    • Example: 10⁹ → 8.9 GHz (gigahertz)

Conclusion

  • SI Units and prefixes simplify representation of large and small values in scientific measurements.
  • Importance in physics and chemistry for accuracy and ease of communication.

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