Chapter 5 – Conversions & Dimensional Analysis

Liquid Conversions

• 1\ \text{liter}=1000\ \text{milliliters}

• 1\ \text{kiloliter}=1\,000\,000\ \text{milliliters}

Length Conversions

• 1\ \text{cm}=10\ \text{mm}

• 100\ \text{cm}=1\ \text{meter}

• 1\ \text{km}=1000\ \text{meters}

• 1\ \text{inch}=25.4\ \text{mm}=2.54\ \text{cm}=0.08\ \text{ft}

• 1\ \text{ft}=304.8\ \text{mm}=30.48\ \text{cm}=12\ \text{inches}

• 1\ \text{yd}=36\ \text{inches}=3\ \text{ft}=0.91\ \text{meters}

• 1\ \text{mile}=5280\ \text{ft}=1.6\ \text{km}

• 1\ \text{furlong}=220\ \text{yd}

• 1\ \text{meter}=39.37\ \text{inches}=3.28\ \text{ft}=1.09\ \text{yd}

• 1\ \text{kilometer}=1093.61\ \text{yd}=1000\ \text{meters}=0.62\ \text{miles}

Temperature Conversions

• Celsius ↔ Kelvin:

  • K=^{\circ}C+273

  • ^{\circ}C=K-273

• Fahrenheit ↔ Celsius:

  • ^{\circ}C=\dfrac{F-32}{1.8}

  • F=^{\circ}C\times1.8+32

• Fahrenheit ↔ Kelvin:

  • K=(F-32)\times\dfrac{5}{9}+273

  • F=(K-273)\times\dfrac{9}{5}+32

Time Conversions

• 1\ \text{min}=60\ \text{s}=60000\ \text{ms}

• 1\ \text{hr}=60\ \text{min}=3600\ \text{s}

• 1\ \text{day}=24\ \text{hr}=1440\ \text{min}

• 1\ \text{week}=7\ \text{days}=168\ \text{hr}

• 1\ \text{month}=4\ \text{weeks}=30\ \text{days}

• 1\ \text{year}=12\ \text{months}=52\ \text{weeks}

• 1\ \text{decade}=10\ \text{years}=120\ \text{months}

• 1\ \text{century}=10\ \text{decades}=100\ \text{years}

Weight Conversions

• 1\ \text{mg}=1000\ \mu\text{g}=0.001\ \text{g}=0.000035\ \text{oz}

• 1\ \text{g}=1000\ \text{mg}=0.035\ \text{oz}=0.001\ \text{kg}

• 1\ \text{oz}=28.25\ \text{g}=0.0625\ \text{lb}=0.028\ \text{kg}

• 1\ \text{lb}=453.6\ \text{g}=16\ \text{oz}=0.45\ \text{kg}

• 1\ \text{kg}=1000\ \text{g}=35.3\ \text{oz}=2.2\ \text{lb}