Dimensional Analysis Monday, August 17 th, 2015. What’s the Rule?

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Presentation transcript:

Dimensional Analysis Monday, August 17 th, 2015

What’s the Rule?

Unit Conversion Factor A fraction whose numerator and denominator are equivalent (you can also use the reciprocal)

To solve a dimensional analysis problem you want to choose a unit conversion factor that… Introduces the unit you want in the answer Cancels out the original unit so that the one you want is all that is left.

“Canceling out” Words

Practice: Choose the appropriate conversion factor. Inches to feet Minutes to hours Meters to centimeters

Metric Conversions PrefixAbbrevFactor = 1 base unit Mega-M10 -6 kilo-k10 -3 hecto-h10 -2 deci-d10 1 centi-c10 2 milli-m10 3 micro-µ10 6 nano-n10 9 pico-p10 12

Examples One bag of apples weighs 64 ounces. How many pounds does it weigh? Darren drank 2 liters of water. How many milliliters of water did he drink?

Convert 80 miles per hour to feet per hour. Convert 63,360 feet per hour to miles per hour.

D.A. Activity #1 Practice in your notebook 1. Convert 38 cm to m 2. Convert 417 mg to g 3. Convert 80 m to km 4. Convert L to nL 5. Convert 0.17 m to mm

1. Convert 38 cm to m

2. Convert 417 mg to g

D.A. Activity #1 Answers m g km 4. 2,500,000 nL mm

D.A. Homework WKST #1 Complete the half sheet of practice problems in your notebook

Answers to the Intro to DA half sheet feet inches feet meters (this is a rough guess) feet meters meters centimeters