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.