physics pre-lab empirical analysis

physics pre-lab empirical analysis - factor of mass If the...

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1. What possible values of n might we expect for this experiment? What kind of relationship between the ring’s diameter and period would correspond to each of these values (linear, quadratic, etc.)? n is the constant in the equation T = A*d^n that relates the diameter to the period. The lab manual states that there is a relationship between the diameter and the period, so the constant in the equation could be any real number greater than 0. An exponent of 1 would mean a linear relationship, 2 would mean quadratic, etc. .. 2. What criteria should be used to decide if the variation of the ring’s mass or its amplitude significantly affects the period? To decide if the variation of the ring's mass affects the period, we would use the measurements of period for differently massed rings. The periods of these differently massed rings could be plotted and the shape of the curve (linear, quadratic, etc. ..) would indicate the type of relationship between the two. To decide if the variation of the ring’s amplitude affects the period, we must consider the
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Unformatted text preview: factor of mass. If the period changes any differently when the amplitude and mass are changed than when just the mass is changed, we are able to decide that the ring’s amplitude significantly affects the period. 3. When is a measurable difference between results considered insignificant? A measurable difference between results is considered insignificant if the uncertainties of the two measurements overlap. If parameters other than the independent parameter are not constant, the dependent factor will not always be constant. In the lab setting, it is extremely difficult to eliminate other parameters and it is therefore pretty common for a measurable difference between results to be considered insignificant. 4. Why is a linear fit of log(T) versus log(d) required to find the constants A and n and their uncertainties? Why not use the power-law fit of T versus d in Excel?...
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