150 likes | 163 Views
Intro to Dimensional Analysis. How It Works. Now You Do It. Now You Do It. 2 miles x 5280 feet x 12 inches = 126,72O inches 1 mile 1 foot.
E N D
Now You Do It 2 miles x 5280 feet x 12 inches = 126,72O inches 1 mile 1 foot
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? How Many Pies?
Clean Your Room!3 cleans = 1 apple pie# cleans = 9Answer in # pies 9 cleans x 1 apple pie = 3 pies 3 cleans
Check Out My Apps2. 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?
How Many Times? 3 applications = 1 acceptance1 application = 3 essays1 essay = 2 hours1 hour = 500 calories1 apple pie = 1000 calories3 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 1 app 1 essay 1 hr 1000 cals 1 pie =270 cleans = 270,000/1000
The Golden Arches3. You never learned dimensionalanalysis 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?
I Wanna Be a Millionaire1 hour = 200 burgers1 day = 8 hours1 week = 5 days2 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 = $800 1 week 1 day 1 hour = 20 x 10 6 burgers = 2.0 x 107 burgers