# Completing Conversions Through Dimensional Analysis Dimensional Analysis Dimensional

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Completing Conversions Through Dimensional Analysis

Dimensional Analysis /Dimensional Analysis is a useful way of completing conversion problems. /This method of problem solving allows you to solve many problems by using the relationship of one unit to another.

Dimensional Analysis /For /1 example, day = 24 hours. /Since these two numbers represent the same value, the fractions: 1 day and 24 hours equal ONE 1 day 24 hours

Dimensional Analysis /When you multiply a number by the number one, you do not change its value. /However, you may change its unit.

1) Convert 3 hours to days using dimensional analysis. 4. 3. 2. Turn thethe factor indicated into a calculation unitincluding factorto bydetermine having equal 1. Perform Write Treat the units original as value algebraic the quantities value ofon the quantity top and with bottom the of neweach units. factor. quantities the appropriate that can units. be canceled. 3 hours x 1 day = 24 hour 3 day 24 = 0. 125 day

Dimensional Analysis /Conversion Factors /1 24 hours day = _____ /1 60 hour = _____ minutes /1 60 minute = _____ seconds

Dimensional Analysis /Conversion Factors /1 5280 feet mile = _____ /1 12 foot = _____ inches /1 meter = 100 _____ centimeters /1 meter = 1000 _____ millimeters

Dimensional Analysis /Conversion Factors /1 kilometer = 1000 _____ meters /1 inch = 2. 54 _____ centimeters /1 mile =1. 609 _____ kilometers

Dimensional Analysis 2) 3 miles = ? inches

Dimensional Analysis 3) 852 m = ? km

Dimensional Analysis 4) 74 km = ? cm

Dimensional Analysis 5) 7 days = ? seconds

Dimensional Analysis 6) 10 km = ? miles

Dimensional Analysis 7) 6 km/hr = ? km/s

Dimensional Analysis 8) 55 miles/hour = ? feet/second

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