Dimensional Analysis

Dimensional Analysis CH 02 – Converting using conversion factors

• DIMENSIONAL ANALYSIS- uses equalities in the form of fractions to convert from one unit to another • CONVERSION FACTORS: fractions used to convert from one unit to another

• equality : 1 km = 1000 m

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Let’s start simple- convert using dimensional analysis • • • •

• • http://education-portal.com/academy/lesson/unitconversion-and-dimensional-analysis.html

B. Dimensional Analysis • How many liters of water would fill a container that measures 75.0 in3?

in3

L

75.0 in3 (2.54 cm)3 (1 in)3

1L

1000 cm3

= 1.23 L

B. Dimensional Analysis 5) Your European hairdresser wants to cut your hair 8.0 cm shorter. How many inches will he be cutting off?

cm

in

8.0 cm 1 in

2.54 cm

= 3.2 in

B. Dimensional Analysis 7) A piece of wire is 1.3 m long. How many 1.5-cm pieces can be cut from this wire?

cm

pieces

1.3 m 100 cm 1m

1 piece

1.5 cm

= 86 pieces