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# Dimensional Analysis

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### Dimensional Analysis

1. 1. Dimensional Analysis Aka Factor-Label Method
2. 2. Dimensional Analysis Aka Factor-Label Method Aka Unit Factor Method
3. 3. Ms. L abbreviates it ... <ul><li>Dimensional analysis = dim. Anal. </li></ul><ul><li>(go ahead, this is your only chance to laugh)‏ </li></ul>
4. 4. Guarantee <ul><li>I guarantee ... </li></ul><ul><li>If you end up with the right units, then you will also end up with the right number* to go with it. </li></ul><ul><li>Guaranteed! </li></ul><ul><li>* unless of course you type the wrong numbers in to your calculator. </li></ul>
5. 5. Two Important Things <ul><li>1. the units on the number </li></ul>
6. 6. Two Important Things <ul><li>1. the units on the number </li></ul><ul><li>2. any conversion factors Example: 1 inch = 2.54 cm </li></ul>
7. 7. Conversion Factor = Fraction = Ratio <ul><li>1 inch = 2.54 cm can be written as a fraction </li></ul>
8. 8. Conversion Factor = Fraction = Ratio <ul><li>1 inch = 2.54 cm can be written as a fraction </li></ul><ul><li>Either side can go on top </li></ul>
9. 9. Conversion Factor = Fraction = Ratio <ul><li>1 inch = 2.54 cm can be written as a fraction </li></ul><ul><li>Either side can go on top </li></ul><ul><li>1 in/2.54 cm </li></ul>
10. 10. Conversion Factor = Fraction = Ratio <ul><li>1 inch = 2.54 cm can be written as a fraction </li></ul><ul><li>Either side can go on top </li></ul><ul><li>1 in/2.54 cm </li></ul><ul><li>2.54 cm / 1 in </li></ul>
11. 11. Example <ul><li>How many inches are in 6.00 cm? </li></ul>
12. 12. Example 2 <ul><li>How many seconds are in 2.0 years? </li></ul>