The Most Powerful Tool in the Universe!

The Most Powerful Tool in the Universe!

Dimensional Analysis

Open Ended

What is the best number ever?

Fill in the Blank

 $\frac{\left(puppies\right)\ \left(kindles\right)\ \left(kittens\right)\ \left(flock\right)}{\left(flock\right)\ \left(puppies\right)\ \left(\ kittens\right)}$  

Fill in the Blank

 $\frac{\left(grams\right)\left(pounds\right)\left(ounces\right)\left(eons\right)\left(emus\right)}{\left(eons\right)\left(grams\right)\left(ounces\right)\left(emus\right)}$  

Fill in the Blank

 $\frac{\left(eggs\right)\left(butter\right)\left(flour\right)\left(crickets\right)\left(milk\right)\left(ants\right)}{\left(milk\right)\left(crickets\right)\left(eggs\right)\left(flour\right)\left(butter\right)}$  

What if there are two units left?

Fill in the Blank

 $\frac{\left(milliliters\right)\left(grams\right)\left(eyeballs\right)}{\left(milliliters\right)\left(eyeballs\right)\left(milliliters\right)}$  

Fill in the Blank

 $\frac{\left(rats\right)\left(moles\right)\left(parrots\right)\left(gallons\right)}{\left(liters\right)\left(gallons\right)\left(rats\right)\left(parrots\right)}$  

Fill in the Blank

 $\frac{\left(Newtons\right)\left(atm\right)\left(gallons\right)\left(meters\right)}{\left(\sec ond\right)\left(atm\right)\left(meters\right)\left(Newtons\right)\left(gallons\right)}$  

What is a conversion factor?

• Find 2 things that are equal

• Write them down

Write a conversion factor for ...

• centimeters to inches

• kilograms to pounds

• feet to meters

• minutes to hours

• kiloPascals to atmospheres

How do we tie these two ideas together?

• The Process

• Write down what you know

• Find the conversion factor

• Set up some parenthesis

• Put the unit you want on the top (numerator)

• Cancel units and do the math

Let's try a few ...

• How many kilograms is 150 pounds?

• How many centimeters is 5,521 inches?

• I have a pressure of 4.2 kiloPascals. What is that measurement in atmospheres?

• My ceilings are 10.5 feet high. How many inches is that?

• How many centimeters is that?

Fill in the Blank

How many milliliters is 2 cups of water? Remember to include the unit.

Fill in the Blank

How many cups is 101 ml of water?

Fill in the Blank

Convert 1,500 feet to meters

Last 3 Questions

• Answer via private chat.

• How can we build a conversion factor?

• Why would we use a conversion factor?

• Can you think of an example for why dimensional analysis is used in science?

Time for a Quizzizz!

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