Thursday, September 23, 2010

LESSON 4: SI System and Percent Error

Prefixes Used with SI Units

  • We can put a prefix in front of the unit and change the power of it.
- tera (T): 10^12                                  - femto (fm): 10^-15
-giga (G): 10^9                                    - pico (pi): 10^-12
-Mega(M): 10^6                                  - nano (n) 10^-9
-kilo(k): 10^3                                       - micro :10^-6
- hecto(h): 10^2                                   - milli (m): 10^-3
- deca (da): 10^1                                  - centi (c): 10^-2


SI Prefixes

  • the SI System uses many prefixes to represent very large or very small numbers
  • Don't use scientific notation and prefixes together! It becomes very confusing
Experimental Accuracy
  • In general the maximum accuracy of any measurement is one half of the smallest division of the measuring device
  • A ruler with measurements of the millimeters has a maximum accuracy of positive or negative 0.5mm
Expressing Error
  • Error is a fundamental part of science
  • There are usually 3 reasons for error: 
                     > physical errors in the measuring device 
                     > "sloppy" measurements
                     > changing ambient conditions 

Calculating Errors 
  • Two different possibilities: Absolute Error, Percentage Error 
Absolute Error
  • Measured value minus accepted value 
  • Absolute Error = Measured - Accepted 
Percent Error 
  • Most common
  • Percent Error = [Measured-Accepted/Accepted] x 100 

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