Question 4 (Pract 5) · Física II URV 2022
Tema: Laboratory: measurement, errors, elasticity and fluids · Del examen Physics Laboratory Exam 2022-2023 (2022)
Enunciado
Question 4 (Pract 5). Error Analysis in Determining Liquid Density
Using the data obtained in the laboratory, justify quantitatively whether the experimental uncertainty related to the weight measurement or that of the diameter measurement has a greater influence when calculating the density of a liquid. Furthermore, determine the additional relative error introduced if is approximated by .
1.
2.
%
Solución
Según los criterios oficiales de corrección
Justify quantitatively whether the experimental uncertainty related to the weight measurement or that of the diameter measurement has a greater influence when calculating the density of a liquid.
Solución: The diameter uncertainty has a greater influence because the diameter is squared in the denominator (multiplicative factor of 2 in relative error), unless the relative uncertainty in weight is more than twice that of the diameter.
Determine the additional relative error introduced if is approximated by .
Solución: 0.051% / 5.07·10^-4
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