Dimensional Analysis/ Factor-label Method

Dimensional Analysis/ Factor-label Method

DIMENSIONAL ANALYSIS/ FACTOR-LABEL METHOD TREAT UNITS AS FACTORS, WHICH CAN BE CANCELLED MUST KNOW YOUR EQUALITIES OR CONVERSION FACTORS CHOOSE THE EQUALITY THAT CANCELS OUT THE ORIGINAL UNIT 1 Remember Fractions? 2 2 1 1 = x 3 = 6 3 2 1 2 1 x = 2 3

3 2 x 15 = 3 2 15 x = 3 1 2 5 x = 10 1 1 Remember Algebra? ax 4z ax 4z x 4 4x x =

x = x = yz 3a yz 3a y 3 3y 2 METRIC PREFIXES LARGE MEGA (M) 1M KILO (K) = 1 X 106 1K = 1 X 103

SMALL DECI 1 = 1 X 101 d CENTI 1 = 1 X 102 c MILLI 1 = 1 X 103 m MICRO 1 = 1 X 106 NANO

1 = 1 X 109 n PICO 1 = 1 X 1012p 3 Examples of Equalities Conversion Factors 60 sec = 1 min 60 min = 1 hr 24 hr = 1 day 365 days = 1 yr 1 mile = 5,280 ft 1 ft = 12 in 1 in = 2.54 cm 1 gal = 3.785 L 1 gal = 4 qt

1 qt = 2 pint 1 lb = 454 g 1 lb = 16 oz 1 oz = 28.35 g 4 STEPS: 1) BEGIN WITH KNOWN 2) DECIDE ON AN EQUALITY 3) ARRANGE UNITS TO CANCEL OUT ORIGINAL UNITS 4) DO THE MATH! 5 HOW MANY MINUTES ARE IN 4 HOURS? 60 MIN 4.0 HOURS X 1 HOUR =240 MIN

HOW MANY KILOGRAMS ARE IN 5 GRAMS? 1 Kg 5gX = 0.005 Kg 1000 g 6 CHANGE 286 cg TO Mg (BOTH UNITS HAVE PREFIXES SO MUST DO TWO CONVERSIONSONE TO BASE UNIT THEN TO OTHER PREFIX UNIT!) 286 cg X 1g 100 cg X 1 Mg = 0.00000286 Mg 1 x 106 g

or 2.86 x 10-6 Mg 7 CHANGING UNITS TO CHANGE FROM ENGLISH TO METRIC UNITS, USE CHART ON PG 38. HOW MANY INCHES ARE IN 354 cm? 1 in 354 cm X = 2.54 cm 1 in 354.5 cmX 2.54 cm 139 in = 139.6 in 8

Recently Viewed Presentations

  • Insurance Company: Functions

    Insurance Company: Functions

    Times New Roman Default Design Insurance Company: Functions Insurance related functions Expense and loss ratios Classification of rating methods Information used in underwriting Loss Adjustment Investments Statutory Accounting Reserves Reinsurance Alternatives to reinsurance Taxation
  • Diapositiva 1 - UCF Department of EECS

    Diapositiva 1 - UCF Department of EECS

    Digital Integral controller to regulate the stimulation current. Using the formula above will allow us to control the stimulators output. Shocking Device. Power Supply. Voltage buck/boost regulator dual output 3.7 volts supplies processor & 5 volts supplies DAC.
  • Fish Anatomy body shape Laterally compressed Fish Anatomy

    Fish Anatomy body shape Laterally compressed Fish Anatomy

    Spiny and soft-rayed parts of dorsal fin nearly separate. Can get larger than sunfish - up to 10 lbs. in Nebraska. Dark on top & light on bottom is called countershading. It camouflages a fish from predators. Fish ID
  • Hippy for Little Learners

    Hippy for Little Learners

    Before starting role play, allow time for staff members to read the following ... DECA. Just as with Year 1 and Year 2, collect PII for H4LL parents. HIPPY USA website is updated for H4LL! Do not use materials used...
  • Planning and Undertaking a Person-Centred Annual Review

    Planning and Undertaking a Person-Centred Annual Review

    Planning and Undertaking a Person-Centred Annual Review Guidance for planning and arranging a person centred review for children and young people with an Education Health and Care Plan Is this convenient for the family? Do Parent(s)/ Carer(s) work? Do they...
  • Ch 6 Precipitation Titrations, Sec 6-5 and 6-6

    Ch 6 Precipitation Titrations, Sec 6-5 and 6-6

    Before the eq. pt., the solubility of the Ag-halide precipitate must be less than the Ag-indicator, otherwise the latter would precipitate out during the titration! 2 Ag+ + CrO42- → Ag2CrO4(s) red Ag+ + Cl- → AgCl(s) white Volhard Method...
  • competitività italiana - Unife

    competitività italiana - Unife

    Vediamo qui la politica tecnologica e, in un terzo paragrafo, la politica per le PMI. Strategia di Lisbona: obiettivo di arrivare, nel 2010, a spese di R&S nell'UE pari al 3% del PIL (circa 1,5% attualmente) La politica tecnologica europea...
  • Certification of Ownership

    Certification of Ownership

    RLA's & Easements. RLA & Easement - requirements for Certification. At the present time, RLA & Easement requests are not required for Certification Requests. If SPC feels an agency is not actively pursuing RLA's & Easement's for their projects, they...