Dimensional Analysis

Dimensional Analysis Notes

Base Units
  • Definition: Base Units are simple units in a measurement system based on natural phenomena or established standards, which serve as the foundation for deriving other units.
  • Examples of Base Units:
    • Meters (m)
    • Grams (g)
    • Seconds (s)
Converting Between Units
  • Conversion Factor: To convert between units, utilize a conversion factor that allows the transformation of a unit into another.
  • Placement Rules:
    • The unit you have should be placed opposite the unit you’re converting from.
    • The unit you want should be placed on the same level as the unit you are converting from.
Basic Scaling
  • Kilo to Base:
    • 1 kilo = 1000 base (e.g., 1 km = 1000 m)
  • Base to Centi:
    • Base = 100 centi (e.g., 1 m = 100 cm)
  • Base to Milli:
    • Base = 1000 milli (e.g., 1 m = 1000 mm)
Example Conversions
  • Convert 100 centi to base:
    • 100 c = 1 m
    • Conversion Factor: 1 m = 100 c
  • Convert between units must follow the placement rules to ensure accuracy.