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A Numbers Game

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A Numbers Game

1. 1. A Numbers Game Working with numbers, units and measurements in Physics
2. 2. Measurements have 2 parts <ul><li>A ________and a_______! </li></ul><ul><li>Measure to the most finite level you can, and estimate one additional decimal place. </li></ul><ul><li>Use metric whenever possible. </li></ul>
3. 3. Precision Vs. Accuracy <ul><li>Accurate – nearness to a correct or “known” value. </li></ul><ul><li>Precise – how close your answers are to each other. </li></ul>
4. 4. Scientific Notation <ul><li>Physics deals with a lot of very small and very large #s. We need a short hand way of working with them. </li></ul><ul><li>Scientific Notation </li></ul><ul><li>1. move decimal so that the # is between 1 and 10. </li></ul><ul><li>2. count how many places you moved it ( this is your exponent) </li></ul><ul><li>3. Rewrite # and X 10^ </li></ul><ul><ul><li>If you move the decimal to the left it is positive </li></ul></ul><ul><ul><li>If you move the decimal to the right it is negative </li></ul></ul><ul><li>How to enter in your calculator: </li></ul><ul><li>Be careful when dividing! (use parenthesis) </li></ul>
5. 5. Examples <ul><li>Write in scientific notation: </li></ul><ul><li>2340000000 </li></ul><ul><li>34580000000000 </li></ul><ul><li>.0000456 </li></ul><ul><li>Expand </li></ul><ul><li>3.45 X 10 -5 </li></ul><ul><li>6.79 X 10 4 </li></ul>
6. 6. SI system <ul><li>Mass – kg </li></ul><ul><li>Distance – m </li></ul><ul><li>Time – s </li></ul><ul><li>Temperature – K ( C) </li></ul><ul><li>Derived units: density, area, velocity, volume </li></ul><ul><li>1 cm 3 = 1 mL </li></ul>
7. 7. Dimensional Analysis <ul><li>Set up Conversions = to one. </li></ul><ul><li>1. Determine what unit is given, and which you are seeking. </li></ul><ul><li>2.Start with the unit given in the top ( usually) left-hand side. </li></ul><ul><li>3. Work across using conversions to cancel until you get the unit you are seeking. </li></ul><ul><li>4. Make sure your answer makes sense. </li></ul><ul><li>MORE DETAILED NOTES IN HANDOUT! </li></ul>
8. 8. Dimensional Analysis Example
9. 9. A note about problems <ul><li>…your #s are NOT usually nice and neat like they are in math class. </li></ul><ul><li>Please round to 2 decimal places! </li></ul>