Dimensional Analysis.

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Presentation transcript:

Dimensional Analysis

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?

What is dimensional analysis? Basic math Multiplication Division Setting up an equation using what you know to get the desired units as an answer.

Example 1 How many seconds are in one day?

Example 1 How many seconds are in one day? 60 seconds in 1 minute 60 minutes in 1 hour 24 hours in 1 day

Example 2 How many hours are in a year?

How about going for hours per year, using the fact there are 365 days in a year?

How about going for hours per year, using the fact there are 365 days in a year?

Example 3 How many inches are in 6 feet?

Example 3 How many inches are in 6 feet? 12 𝑖𝑛𝑐ℎ𝑒𝑠 1 𝑓𝑜𝑜𝑡 × 6 feet

Example 3 12 𝑖𝑛𝑐ℎ𝑒𝑠 1 𝑓𝑜𝑜𝑡 × 6 feet How many inches are in 6 feet?

Example 4 How many meters are in 66 feet? 1 meter = 3.3 feet

Example 4 1 𝑚 3.3 𝑓𝑒𝑒𝑡 ×66 𝑓𝑒𝑒𝑡 How many meters are in 66 feet? 1 meter = 3.3 feet 1 𝑚 3.3 𝑓𝑒𝑒𝑡 ×66 𝑓𝑒𝑒𝑡

Example 4 1 𝑚 3.3 𝑓𝑒𝑒𝑡 ×66 𝑓𝑒𝑒𝑡 How many meters are in 66 feet? 20 m 1 meter = 3.3 feet 1 𝑚 3.3 𝑓𝑒𝑒𝑡 ×66 𝑓𝑒𝑒𝑡 20 m

Metric Conversions King Henry Died Drinking Chocolate Milk Kilo- (no prefix) Drinking Chocolate Milk Kilo- Hecto- Deca- grams, meters, Liters deci- centi- milli- k- h- da- g, m, L d- c- m- move decimal point

Example 1 How much does a 30mg pill weigh in decigrams? Kilo- Hecto- Deca- grams, meters, Liters deci- centi- milli-

Example 1 How much does a 30mg pill weigh in decigrams? 0.3 dg Kilo- Hecto- Deca- grams, meters, Liters deci- centi- milli-

Example 2 How many kilometers did I run if I ran 400 meters? Kilo- Hecto- Deca- grams, meters, Liters deci- centi- milli-

Example 2 How many kilometers did I run if I ran 400 meters? 0.4 km Hecto- Deca- grams, meters, Liters deci- centi- milli-

Example 3 Your cross country skis are 2100 mm long. What is their length hm? Kilo- Hecto- Deca- grams, meters, Liters deci- centi- milli-

Example 3 Your cross country skis are 2100 mm long. What is their length hm? 0.21 hm Kilo- Hecto- Deca- grams, meters, Liters deci- centi- milli-