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CHAPTER 4 NOTES – Problem solving

CHAPTER 4 NOTES – Problem solving. Steps to problems solving. Identify the unknown. Identify what is known or given. Plan a solution. Do the calculations. Finish up – Check your work. Conversion Factors.

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CHAPTER 4 NOTES – Problem solving

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  1. CHAPTER 4 NOTES – Problem solving

  2. Steps to problems solving • Identify the unknown. • Identify what is known or given. • Plan a solution. • Do the calculations. • Finish up – Check your work.

  3. Conversion Factors • Equivalent measurements (equalities) can be used to create conversion factors. (1 m=100 cm, 1.6 km=1 mi) • Two conversion factors can be written from any equality. • 2.54 cm = 1 in can be written as two different conversion factors: • 2.54 cm or 1 inch 1 inch 2.54 cm

  4. Unit Conversions – Example • Convert 750 nm to km • Unknown = km • Equalities = 1 m = 109nm 1000 m = 1 km • Solution: 750 nm 1 m 1 km 1 109 nm 1000 m • Solve: 7.50  10-10 km

  5. The most common mistakes can be avoided if you: • Don’t take shortcuts!! Shortcuts equal errors! • Write down all units. No naked numbers! • Keep your work organized. • Do a sensibility check. Make sure your answer makes sense. • It must be human error to put the “big” number in the numerator. It doesn’t always go there. Be careful! • It is helpful to put in units first then put in numbers. • Double check everything.

  6. Reasons for not using Dimensional Analysis • Let's say you're super-intelligent and enjoy solving relatively simple problems in the most complex manner. • Let's say you're tired of always getting the correct answers. 1.

  7. Reasons for not using Dimensional Analysis • Let's say you're an arty type and you can't be confined by the structure of DA. You like messy solutions scribbled all over the page in every which direction. It's not that you want to make a mistake. But you really don't care that much about the answer. You just like the abstract design created by the free-wheeling solution... and the freedom from being confined by structure

  8. Dimensional Analysis - Practice • An airplane was flown at a speed of 12,193 miles per hour. What was the speed of the plane in meters per second? 12,193 Miles 1 Hour 1 Hour 60 Minutes 1 Minutes 60 Seconds 1.609344 Km 1 Mile X X X

  9. Dimensional Analysis - Practice • Express the density of 5.6 g/cm3 in kg/cm3. 5.6 g 1 cm3 1 kilogram 1000 gram X

  10. Dimensional Analysis - Practice • If 20 gits equal 1 erb, and 1 futz equals 1 hews, and 10 erbs equal 1 futz, how many gits equal 5 hews?

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