The Nathan's Hot Dog Eating Contest is an annual American competitive-eating competition that is held each July 4 at Nathan's Famous New York
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1 The Nathan's Hot Dog Eating Contest is an annual American competitive-eating competition that is held each July 4 at Nathan's Famous New York restaurant. In 2011 over 40,000 spectators attended the event, and an additional million viewers watched it live on ESPN television.
2 The contest has gained public attention in recent years due to the sudden stardom of Takeru Kobayashi, his subsequent rivalry with American Joey Chestnut. In the 96th annual contest, held on July 4, 2011, fourtime-defending champion Chestnut won his fifth title by consuming 62 hot dogs and buns (HDBs) in ten minutes.
3 How many hot dogs are eaten in a month at a rate of 48 hot dogs per year?
4
5 Date
6 Date II. Dimensional Analysis Notes
7 Scientific problems often require dimensional analysis to convert from one unit of measure to another unit of measure. Then you write
8 Date What is Dimensional Analysis used for? II. Dimensional Analysis Notes A. Helps solve problems, used to convert from one unit to another.
9 To convert units, multiply by one or more ratios of equal quantities called conversion factors. For example, to convert inches to feet, you would use the conversion factor: 1 ft. 12 inches
10 Date What is Dimensional Analysis used for? Give an example of a Conversion Factors. II. Dimensional Analysis Notes A. Helps solve problems, used to convert from one unit to another. B. Multiply by ratio(s) of equal quantities, like 1 ft. 12 inch
11 Helpful Hints: Steps: 1. Identify starting & ending units. 2. Line up conversion factors so units cancel. 3. Multiply all top numbers & divide by each bottom number hit enter. 4. Check units & answer. Then you write
12 Date What is Dimensional Analysis used for? Give an example of a Conversion Factors. II. Dimensional Analysis Notes A. Helps solve problems, used to convert from one unit to another. B. Multiply by ratio(s) of equal quantities, like 1 ft. (Equals 1) C. Steps: 12 inch 1. Identify starting & ending units. 2. Line up conversion factors so units cancel. 3. Multiply all top numbers & divide by each bottom number hit enter. 4. Check units & answer.
13 Date What is Dimensional Analysis used for? Give an example of a Conversion Factors. Summarize the steps in dimensional analysis. II. Dimensional Analysis Notes A. Helps solve problems, used to convert from one unit to another. B. Multiply by ratio(s) of equal quantities, like 1 ft. (Equals 1) C. Steps: 12 in. 1. Identify starting & ending units. 2. Line up conversion factors so units cancel. 3. Multiply all top numbers & divide by each bottom number hit enter. 4. Check units & answer. Now write a 2 3 sentence SUMMARY of your notes!
14 Write all the steps shown in black to help you solve dimensional analysis problems. Be sure to show your work when cancelling out units.
15 D. Sample Problems 1.) How many inches are in 1 mile?? inches = Start with the units you want for your answer: How many inches?
16 D. Sample Problems 1.) How many inches are in 1 mile?? inches = Then use the units given in the problem ( 1 mile) 1 Remember: When dividing by 1, the number remains the same
17 What is a conversional factor I know that uses miles?
18 There are 5,280 feet in 1 mile. So I can use the conversion factor: 5280 ft. 1 mile
19 1.) How many inches are in 1 mile?? inches = If no symbol of operation is shown between parentheses, you will multiply ( 1 mile) ( 5280 ft. ) 1 1 mile Remember to put mile in the denominator so your units will cancel out mile mile =1
20 What is a conversional factor I know that uses feet and inches?
21 There are 12 inches in 1 foot. So I can use the conversion factor: 12 inches 1 ft.
22 1.) How many inches are in 1 mile? ( 1 mile) ( 5280 ft. )( 12 inch)? inches = 1 1 mile 1 ft. Remember to put ft. in the denominator so your units will cancel out ft. ft. =1
23 First, cancel out your units to make sure your answer will be in inches.
24 1.) How many inches are in 1 mile?? inches = ( 1 mile) ( 5280 ft. ) 1 1 mile ( 12 inch 1 ft. ) Draw a line through each unit you find in both the numerator AND the denominator. (Any unit divided by itself equals 1.) mile mile =1 and ft. ft. =1
25 1.) How many inches are in 1 mile? ( 1 mile) ( 5280 ft. )( 12 inch)? inches = 1 1 mile 1 ft. Since inch is the only unit remaining, your answer will be in inches per mile. (This should match the start of the problem!)
26 Multiply the numerators (top #s) together. Multiply the denominators together. (bottom #s) Then divide. (Be sure to include the correct units in your answer!)
27 1.) How many inches are in 1 mile? ( 1 mile) ( 5280 ft. )( 12 inch)? inches = 1 1 mile 1 ft. =( 1 X 5280 X 12 inch ) 63,360 inch = 1 X 1 X 1 1 = 63,360 inches
28 The Twin Cities Marathon is 26.2 miles. How far is this in yards?
29 Solution: What you want What you have What you know C V? yards = ( 26.2 mile) ( 5280 ft. ) 1 yard 1 1 mile 3 ft. ( ) =( 26.2 X 5280 X 1 yard ) 1 X 1 X 3 = 46,112 yards
30
31 Problem Set Starters:? ) ) hour = 1.) miles ( ( 2.)? ounces year = 3.)? miles hour = 4.)? $ ( 25 euro ) Conversion Factor: = kg 500 g 1000 g = 1 kg
32 Problem Set Starters:? meter ( 5.) sec = 20 nautical mile 1 hour ) 6.) 7.)? mile hour =? feet day = Conversion Factor: 365 days = 1 year 8.)? km hour = Conversion Factor: 1000 m = 1 km
33
34 You watch a Vikings football game for 3 hours. How long is this in seconds?
35 Solution: What you want What you have What you know C V? sec. = ( 3 hours) ( 60 min. )( 60 sec. ) 1 1 hour 1 min. =( 3 X 60 X 60 sec. 1 X 1 X 1 ) = 10,800 seconds
36 How many hot dogs are eaten in a month at a rate of 48 hot dogs per year?
37 Solution: What you want What you have What you know ( )? hot dogs ( 48 hot dogs) 1 year month = 1 year 12 months =( 48 hot dogs 12 months ) = 4 hot dogs month
38 How many miles can you jog in one hour at an average rate of 7.3 feet per second?
39 What you want Solution: ( 7.3 ft. ) 1 mile hour = 1 sec ft.? miles What you have What you know ( )( )( ) 60 sec. 60 min. 1 min. 1 hour =( 26,280 miles 5280 hours ) = 4.98 miles hour
12 inches 4 feet = 48 inches
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