Unit Conversions

Study Notes

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

Description

Learn about the importance of unit conversions, types of conversions, conversion factors, and techniques for converting between units. Practice converting between units and apply to real-world problems.