Aim How to use Dimensional Analysis to Convert

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Aim: How to use Dimensional Analysis to Convert from One unit to Another DO

Aim: How to use Dimensional Analysis to Convert from One unit to Another DO NOW: ANSWER THE FOLLOWING QUESTIONS IN YOUR NOTEBOOK 1. HOW MANY SECONDS ARE IN MINUTE? 2. HOW MANY MINUTES ARE IN AN HOUR? 3. HOW MANY HOURS ARE IN A DAY? 4. HOW MANY DAYS ARE IN A WEEK? 5. HOW MANY WEEKS ARE IN A YEAR?

What is a Unit Conversion? �A unit conversion is a changing of one unit

What is a Unit Conversion? �A unit conversion is a changing of one unit to another. �Unit Examples: meters grams inches feet pounds seconds

What is a Metric Unit? Metric units are the universally excepted units around the

What is a Metric Unit? Metric units are the universally excepted units around the world (except for the US). They are the easiest to convert. Metric Unit Examples: meters liters grams Base Units – all other metric units are based off of these (km, cm, ml, kg)

Common Metric Units (Prefixes) Abbreviation Mega-M kilo- k hecto-h deka- da or D Base-

Common Metric Units (Prefixes) Abbreviation Mega-M kilo- k hecto-h deka- da or D Base- m, l, g deci- d centi- c milli- m micro-µ nano-n

Metric Conversion Factors 1 km= 1000 m 100 cm= 1 m 1000 mm =

Metric Conversion Factors 1 km= 1000 m 100 cm= 1 m 1000 mm = 1 m 10 mm = 1 cm Knowing these conversion factors makes calculating conversions easy! These also work for liters and grams. Just replace the base unit (m) with a (g) or (l).

Using dimensional analysis

Using dimensional analysis

What is a conversion factor A conversion factor is an equality used to change

What is a conversion factor A conversion factor is an equality used to change one set of units to another Examples of conversion factors 60 sec = 1 min 1000 m = 1 km 2. 2 lbs = 1 kg

Unit Conversion

Unit Conversion

Unit Convers ion Conversion Factor

Unit Convers ion Conversion Factor

How many cm are in 1. 32 meters? equality: 1 m = 100 cm

How many cm are in 1. 32 meters? equality: 1 m = 100 cm (or 0. 01 m = 1 cm) applicable conversion factors: 1 m ______ 100 cm or ( 100 cm ______ 1 m ) cm 100 ______ X cm = 1. 32 m = 132 cm 1 m We use the idea of unit cancellation to decide upon which one of the two conversion factors we choose.

How many meters is 8. 72 cm? equality: 1 m = 100 cm applicable

How many meters is 8. 72 cm? equality: 1 m = 100 cm applicable conversion factors: 1 m ______ 100 cm or ( 100 cm ______ 1 m ) 1 m ______ X m = 8. 72 cm = 0. 0872 m 100 cm Again, the units must cancel.

How many feet is 39. 37 inches? equality: 1 ft = 12 in applicable

How many feet is 39. 37 inches? equality: 1 ft = 12 in applicable conversion factors: ______ 1 ft 12 in or 12 in ______ 1 ft ( ) ____ 1 ft X ft = 39. 37 in = 3. 28 ft 12 in Again, the units must cancel.