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Intro to Dimensional Analysis

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Presentation on theme: "Intro to Dimensional Analysis"— Presentation transcript:

1 Intro to Dimensional Analysis

2 How It Works

3 Now You Do It

4 Now You Do It 2 miles x 5280 feet x 12 inches = 126,72O inches
1 mile foot

5 How Many Pies? 1. Every three times I clean my bedroom, my mother makes me an apple pie. I cleaned my bedroom 9 times. How many apple pies does she owe me?

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7 Clean Your Room! 3 cleans = 1 apple pie # cleans = 9 Answer in # pies 9 cleans x 1 apple pie = 3 pies cleans

8 Check Out My Apps 2. A WHS senior was applying to college, and wondered how many applications she needed to send. Her counselor explained that with the excellent grade she received in APES this year, she would probably be accepted to one school out of every three to which she applied.  She realized that for each application she would have to write 3 essays, and that each essay would require 2 hours of writing. For each hour of writing, she would need to expend 500 calories, which she could get from her mother’s apple pies! Each apple pie has 1000 calories. How many times does she have to clean her room in order to gain acceptance into 10 colleges?

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10 How Many Times? 3 applications = 1 acceptance 1 application = 3 essays 1 essay = 2 hours 1 hour = 500 calories 1 apple pie = 1000 calories 3 cleans = 1 apple pie Need 10 acceptances Answer in # of cleans 10 accepts x 3 apps x 3 essays x 2 hours x 500 cals x 1 pie___ x 3 cleans = 1 accept app essay hr cals pie =270 cleans = 270,000/1000

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12 The Golden Arches 3. You never learned dimensional analysis and now you have been working at McDonald’s for the past 35 years. You are their best hamburger wrapper ever! Each hour, you wrap 200 hamburgers. You work 8 hours a day. You work 5 days a week. You get paid every two weeks, and your paycheck totals $800, after taxes. How many hamburgers will you have to wrap to make your first one million dollars?

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14 I Wanna Be a Millionaire 1 hour = 200 burgers 1 day = 8 hours 1 week = 5 days 2 weeks = $800
Answer in # of burgers Remember 1 million = 1 x 10 6 $1 x106 x 2 weeks x 5 days x 8 hours x 200 burgers = $ week day hour = 2.0 x 107 burgers = 20 x 10 6 burgers

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