1 / 28

ORGANIZED APPROACH TO PROBLEM SOLVING USING UNITS

Factor Label/ Conversions/ Dimensional Analysis. ORGANIZED APPROACH TO PROBLEM SOLVING USING UNITS. 1. What unit do you need? 2. What information is given? 3. What conversion factors do you need?. 3 QUESTIONS TO ANSWER. CONVERSION FACTOR:. CONVERSION BETWEEN 1 UNIT AND

ross
Download Presentation

ORGANIZED APPROACH TO PROBLEM SOLVING USING UNITS

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. Factor Label/ Conversions/ Dimensional Analysis ORGANIZED APPROACH TO PROBLEM SOLVING USING UNITS

  2. 1. What unit do you need? 2. What information is given? 3. What conversion factors do you need? 3 QUESTIONS TO ANSWER

  3. CONVERSION FACTOR: CONVERSION BETWEEN 1 UNIT AND ANOTHER; ANY TWO THINGS THAT ARE EQUAL. EX: 16 oz. = 1 lb 1 km = 1000 M 1.06 qt = 1 L

  4. Look at the example: Ex: ? cm are there in 30 ft? ?cm = 30 ft 12 in 2.54 cm = 914.4 cm 1 1 ft 1 in What pattern do you notice?

  5. ? Units wanted = 1. ALWAYS START WITH "? units wanted”

  6. ? Units wanted = 2. Write Given quantity on top Given quantity

  7. ? Units wanted = 3. Write matching conversion factor on bottom of next parenthesis Given quantity Matching conversion factor

  8. ? Units wanted = Wanted unit of conversion factor 4. Put wanted unit of conversion factor on top! Given quantity Matching conversion factor

  9. ? Units wanted = Wanted unit of conversion factor 5. Multiply everything on top, and divide by everything on bottom! Given quantity Matching conversion factor *In calculator type: (multiply everything on top) / (multiply everything on bottom) = your answer with units wanted!

  10. *You must have the same unit on top in the first parenthesis, as you do in the bottom of the next parenthesis!! *Diagonal Units: must cancel out! ? Units wanted = given quantity Units wanted Matching conversion factor: MUST be in SAME UNIT as your Given Quantity!!!!!!!!!!

  11. ? Units wanted = Units wanted! Given quantity Some unit • You can also do this with multiple conversion factors! Matching conversion factor Some unit conversion factor • Start with same steps as before, but your first conversion factor may not have the wanted unit on top. • You may need to use many conversion factors to get to the unit wanted!!

  12. Always make sure that diagonal units cancel out!!! Lets do some examples!!!!!!!!!

  13. Example Problems: • ? Seconds has a 16 year old lived • ? Lbs is a 200,000g sumo wrestler • ? Warps are there in 9x1012 wags 1 wag = 95 zooms 1000 warps = 1 dirg 67 zooms = 1 dirg • Jeff drove 2 x 103cm/sec to school, which is 9miles away. How many min did it take to get to school? 12in = 1ft 1in = 2.54cm 5280ft = 1mile • Susan drank 32 lbs of soda. If soda has a density of 0.999g/cm3, how many qts did she drink? 1 lb = 454g 1 cm3 = 1 mL 1 qt = 946 mL

  14. ' Base Units: LENGTH - m - meter MASS - kg - kilogram TIME - s - seconds TEMP - K - Kelvin AMOUNT - mole - molecular units SI UNITS: SYSTEME INTERNATIONALE

  15. 10-1 - d - deci 106 - M - mega SI Units: based on powers of 10--METRIC PREFIXES 103 - k - kilo 10-2 - c - centi 102 - h - hecto 10-3 - m - milli 101 - da - deka 10-6 - m - micro 10-9 - n - nano - meter 100 - BASE - liter - grams 10-12 - p - pico

  16. MANY KIDS HAVE DROPPED OVER DEAD CONVERTING METRICS Now you create your own!!!

  17. Write ? Unit looking for Write given quantity on top Use matching conversion factor: METRIC TO METRIC CONVERSION RULES:

  18. 3. Use matching conversion factor: • Place given unit on bottom • Place desired unit on top • Put a 1 in front of the bigger metric unit • Put a (+) positive power of 10 on the smaller metric unit METRIC TO METRIC CONVERSION RULES:

  19. Cancel all diagonal units (except for the one you are looking for Multiply everything above the line and divide by everything below the line. METRIC TO METRIC CONVERSION RULES:

  20. HINTS: 1. Go from given unit to base unit 2. Go from base unit to unit wanted 3. Always use a (+) positive exponent number 4. Put the (+) exponent number on the smaller unit METRIC TO METRIC CONVERSION RULES:

  21. 8 km = ______ cm ? cm =

  22. 8 km = ______ cm ? cm = 8 km

  23. 8 km = ______ cm 1000 m 8 km ? cm = 1 km

  24. 8 km = ______ cm 1000 m 8 km 100 cm ? cm = 1 km 1 m

  25. 8 km = ______ cm 8 km 1000 m 100 cm 1 km 1 m 800,000 cm 1 = ? cm =

  26. EXAMPLE OF METRIC TO METRIC CONVERSIONS • ? cm are in 5km • ? ng are in 6.2 x 1012dg • ? hL are in 5mL?

  27. 2.54 cm = 1 inch 454 g = 1 lb. 1.06 qt. = 1 L METRIC - ENGLISH CONVERSIONS 3 1 mL = 1 cm

  28. 16 oz = 1 pound (lb) 12 in. = 1 ft 3 ft = 1 yd 4 qts = 1 gal 5280 ft = 1 mile ENGLISH CONVERSIONS

More Related