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Dimensional Analysis
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What is dimensional analysis?
Also called factor label or unit conversions. Taking the units you are given (grams, feet, meters, etc.) and translating to other units. Example: How many feet are in 30 meters?
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What is dimensional analysis?
Basic math Multiplication Division Setting up an equation using what you know to get the desired units as an answer.
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Example 1 How many seconds are in one day?
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Example 1 How many seconds are in one day? 60 seconds in 1 minute
60 minutes in 1 hour 24 hours in 1 day
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Example 2 How many hours are in a year?
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How about going for hours per year, using the fact there are 365 days in a year?
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How about going for hours per year, using the fact there are 365 days in a year?
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Example 3 How many inches are in 6 feet?
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Example 3 How many inches are in 6 feet? 12 πππβππ 1 ππππ‘ Γ 6 feet
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Example 3 12 πππβππ 1 ππππ‘ Γ 6 feet How many inches are in 6 feet?
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Example 4 How many meters are in 66 feet? 1 meter = 3.3 feet
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Example 4 1 π 3.3 ππππ‘ Γ66 ππππ‘ How many meters are in 66 feet?
1 meter = 3.3 feet 1 π 3.3 ππππ‘ Γ66 ππππ‘
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Example 4 1 π 3.3 ππππ‘ Γ66 ππππ‘ How many meters are in 66 feet? 20 m
1 meter = 3.3 feet 1 π 3.3 ππππ‘ Γ66 ππππ‘ 20 m
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Metric Conversions King Henry Died Drinking Chocolate Milk Kilo-
(no prefix) Drinking Chocolate Milk Kilo- Hecto- Deca- Β grams, meters, Liters deci- centi- milli- k- h- da- Β g, m, L d- c- m- move decimal point
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Example 1 How much does a 30mg pill weigh in decigrams? Kilo- Hecto-
Deca- Β grams, meters, Liters deci- centi- milli-
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Example 1 How much does a 30mg pill weigh in decigrams? 0.3 dg Kilo-
Hecto- Deca- Β grams, meters, Liters deci- centi- milli-
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Example 2 How many kilometers did I run if I ran 400 meters? Kilo-
Hecto- Deca- Β grams, meters, Liters deci- centi- milli-
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Example 2 How many kilometers did I run if I ran 400 meters? 0.4 km
Hecto- Deca- Β grams, meters, Liters deci- centi- milli-
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Example 3 Your cross country skis are 2100 mm long. What is their length hm? Kilo- Hecto- Deca- Β grams, meters, Liters deci- centi- milli-
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Example 3 Your cross country skis are 2100 mm long. What is their length hm? 0.21 hm Kilo- Hecto- Deca- Β grams, meters, Liters deci- centi- milli-
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