Unit Conversions

Unit Conversions

Importance of Unit Conversions

• Essential in various fields such as science, engineering, and economics
• Enables comparison and calculation of quantities with different units
• Avoids errors and inconsistencies in measurements and calculations

Types of Unit Conversions

• Length conversions
  • Meter (m) to centimeter (cm), millimeter (mm), kilometer (km), etc.
  • Inch (in) to foot (ft), yard (yd), mile (mi), etc.
• Mass conversions
  • Gram (g) to kilogram (kg), milligram (mg), tonne, etc.
  • Pound (lb) to ounce (oz), ton, etc.
• Time conversions
  • Second (s) to minute (min), hour (h), day, etc.
• Temperature conversions
  • Celsius (°C) to Fahrenheit (°F), Kelvin (K)
• Volume conversions
  • Liter (L) to milliliter (mL), cubic meter (m³), etc.
  • Fluid ounce (fl oz) to cup, pint, gallon, etc.

Conversion Factors

• Length
  • 1 m = 100 cm = 1000 mm
  • 1 in = 2.54 cm
• Mass
  • 1 kg = 1000 g
  • 1 lb = 0.45 kg
• Time
  • 1 min = 60 s
  • 1 h = 60 min
• Temperature
  • °C to °F: °F = (°C × 9/5) + 32
  • °F to °C: °C = (°F - 32) × 5/9
• Volume
  • 1 L = 1000 mL
  • 1 fl oz = 29.6 mL

Conversion Techniques

• Multiplication and Division
  • Multiply or divide by a conversion factor to convert between units
• Unit Cancellation
  • Cancel out units by multiplying or dividing by a conversion factor
• Dimensional Analysis
  • Convert between units by setting up a series of conversion factors

Practice and Applications

• Practice converting between units in different contexts
• Apply unit conversions to real-world problems in science, engineering, and economics