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Physics I Lab Manual 2011 31

# Physics I Lab Manual 2011 31 - σ rms for the resulting...

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EXPERIMENT 3. FREE FALL ANALYSIS while precision is how repeatable the measurement is, and is measured by the size of σ rms (which has the same units as the measured quantity.) In choosing the parameters for a curve fit, we generally seek to create a curve makes the measured points as precise as possible (i.e. we try to minimize σ rms ). There are various algorithms used to determine the parameters of the best fit line, but one of the most general is a simple form of “trial and error”. While it would be possible, but tedious, to choose a value for each parameter, manually calculate
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Unformatted text preview: σ rms for the resulting curve, and then repeat with diﬀerent values until you found the values that gave the most precise ﬁt, this process can be done quickly by computers, and many software tools exist that will easily do curve ﬁtting. Practice Consider the 4 sets of data shown below for v ( t ) the velocity of an object in freefall with the corresponding linear curve ﬁts. The slope of the best ﬁt line gives the acceleration, and for comparison a dashed line with a slope of-g is shown. Figure 3.1: Example data 21...
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