Dimensional Analysis and Unit Conversions

learning_notes

Last updated: 8/16/2025

Key Concepts

  • Dimensional analysis uses conversion factors to switch between different measurement units.
  • Unit conversions apply in both metric (e.g., cm to meters) and imperial (e.g., feet to miles) systems.
  • Some conversions involve squared or cubic units for area and volume.

Skills Covered

  • Converting between metric units (e.g., grams to kilograms).
  • Converting between imperial units (e.g., inches to feet).
  • Using conversion factors systematically in multi-step problems.

Example Problems

  • Convert 5 kg to grams.
  • Convert 3 yards to feet.
  • A city has an area of 50 square miles. Convert this to square yards.

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