Understanding Measurement Systems and Conversions

Aug 27, 2024

Systems of Measurement

Introduction

  • Every measurement consists of:
    • A number
    • A unit

Types of Measurement Systems

  • English System (Used in the US)
    • Volume: gallons
    • Mass: pounds
  • Metric System (Used in medicine and science)
    • Base units:
      • Length: meters
      • Mass: grams
      • Volume: liters
      • Time: seconds
  • SI System (International System)
    • Based on the metric system

Metric System Prefixes

  • Larger Prefixes:
    • Tera (T)
    • Giga (G)
    • Mega (M)
    • Kilo (k)
  • Smaller Prefixes:
    • Decimeter (d)
    • Centimeter (c)
    • Millimeter (m)
    • Micrometer (ยต)
    • Nanometer (n)
    • Picometer (p)

Conversion in Metric System

  • Move the decimal to convert between units:
    • Moving left: decimal moves left
    • Moving right: decimal moves right
  • Examples:
    • 1 gram to hectograms: move 2 spots left
    • 254 centiliters to kiloliters: move 5 spots left
    • 7.89 millimeters to nanometers: move 6 spots right

English System

  • Length:
    • 1 foot = 12 inches
    • 1 yard = 3 feet
    • 1 mile = 5,280 feet
  • Mass:
    • 1 pound (lb) = 16 ounces
  • Volume:
    • 1 gallon = 4 quarts
    • 1 quart = 2 pints

Volume Measurement

  • Glassware:
    • Flask
    • Graduated cylinder
    • Syringe
    • Pipette
  • Volume Displacement:
    • Use for irregularly shaped objects
    • Calculate by: V_final - V_initial = Volume of the object

Practical Examples

  • Volume of a Cube:
    • For a cube with sides of 2 cm, the volume is:
      • 2 cm x 2 cm x 2 cm = 8 cubic cm
      • Equivalent to 8 milliliters

Identifying Measurement Systems

  • Examples:
    • Micrometer: Metric, Length
    • Gallons: English, Volume
    • Kilogram: Metric, Mass
    • Cubic centimeter: Metric, Volume
    • Pound: English, Mass
    • Milliliter: Metric, Volume

Conversions

  • Microgram to Gram:
    • 1 gram = 10^6 micrograms
    • 1 microgram = 10^-6 grams
  • Encourage use of scientific notation for clarity.

This lecture covers the basics of measurement systems, their units, and conversions between different units, highlighting both the metric and English systems.