SPH3UW Unit 1.5

# SPH3UW Unit 1.5 - Unit 1.5 Propagation of Errors (Adding...

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Unit 1.5 Propagation of Errors (Adding and Subtracting) 7. Propagation of Errors, Basic Rules Suppose we are given two measured quantities x and y and that these quantities have uncertainties, Δx and Δy, as determined above: we would report x ± Δx, and y ± Δy. Now suppose that from the measured quantities x and y a new quantity, z, is calculated. What is the uncertainty, Δz, in z? There are a variety of techniques for determining the uncertainty Δz, in z . Some techniques are acceptable for high school, but not acceptable for University or Business. I will demonstrate three methods (GOOD, BETTER, BEST). BEST is usually always the method that you will use at university (so practice learning it), while the GOOD and BETTER methods will be acceptable at the High School Level. The guiding principle in all cases is to consider the most pessimistic situation. The examples included in this section also involve the proper rounding of answers, which is covered in more detail in Section 6. The examples use the propagation of errors using

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## This note was uploaded on 09/02/2010 for the course PHYS MERR1 taught by Professor Carter during the Spring '10 term at UMass (Amherst).

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SPH3UW Unit 1.5 - Unit 1.5 Propagation of Errors (Adding...

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