Experiment 0 - Mechanical Measuring

Tasks:

In the lab there are multiple objects that have to be measured as exact as possible. Remember the instructions from the video while conducting the experiments.


Fig. 1: objects to be measured

For measuring you are supplied with a ruler, a caliper and an outside micrometer. Pick the measuring instrument, that you think is best suited for the task to minimize the errors.

  1. Measure the width of object A.
  2. Measure the inner diameter of object B.
  3. Find out, which of the objects E1 and E2 is thicker.
  4. Measure the length and the inner diameter of object D. Conduct at least 10 measurements and calculate the average and standard deviation of your measurements using eq. (1) and (2) to submit a complete measurement.

                                        (1)

                                        (2)

5. Measure the volume of object C by carrying out the following steps:

(1) Measure every size of object C, that is needed to find the volume. What accuracy does your measuring instrument have?

(2) Calculate the propagated error and supply a complete measurement of the volume (rounded to significant figures and including the uncertainty)! Use eq. (3).

(3)


Sources:

[1]     F. Puente León, Messtechnik. Berlin, Heidelberg: Springer Berlin Heidelberg, 2019.

[2]     P. Fornasini, The Uncertainty in Physical Measurements. New York, NY: Springer New York, 2008.

[3]     A. Kameke, Messwerte und Messunsicherheit. Hamburg, TUHH, 2019.

[4]     BIPM, „Evaluation of measurement data: Guide to the expression of uncertainty in measurement“, 2018. [Online]. Verfügbar unter: https://www.bipm.org/utils/common/documents/jcgm/JCGM_100_2008_E.pdf

[5]     DIN 1319-32: “Grundlagen der Messtechnik - Teil 3: Auswertung von Messungen einer einzelnen Messgröße, Messunsicherheit“,1996

[6]     DIN 1319-4: “Grundlagen der Messtechnik - Teil 4: Auswertungvon Messungen, Messunsicherheit“, 1999



Institut für Mechatronik im Maschinenbau (iMEK), Eißendorfer Straße 38, 21073 Hamburg