By L. Kirkup, R. B. Frenkel
Dimension shapes clinical theories, characterises advancements in production procedures and promotes effective trade. In live performance with dimension is uncertainty, and scholars in technological know-how and engineering have to determine and quantify uncertainties within the measurements they make. This publication introduces dimension and uncertainty to moment and 3rd 12 months scholars of technological know-how and engineering. Its procedure is determined by the across the world recognized and advised guidance for calculating and expressing uncertainty (known via the acronym GUM). The facts underpinning the equipment are thought of and labored examples and workouts are unfold during the textual content. precise case reports according to ordinary undergraduate experiments are incorporated to enhance the rules defined within the e-book. This consultant is additionally necessary to pros in who're anticipated to grasp the modern equipment during this more and more vital zone. extra on-line assets can be found to aid the e-book at www.cambridge.org/9780521605793.
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Additional resources for An introduction to uncertainty in measurement using the GUM
A systematic error may be revealed by one of two general methods. In the following discussion, we use the term ‘device’ to refer to either an instrument or an artefact. We may look up previously obtained information on the devices used in a measurement. This information may take the form of speciﬁcations by a manufacturer or supplier, or look-up tables of physical constants of materials, and previously reported measurements against higher-accuracy devices. We note especially the latter resource: any device, particularly if used in an accurate measurement, should have been calibrated recently.
1 The system of units of measurement To measure the length of a particular object and have the result of that measurement recognised and understood by other people, there must be mutual agreement on a basic unit of length. Over past centuries many units have been adopted as the basis of length measurement in different parts of the world. Some of those units, like the metre, the mile and the fathom, are still in use today. Other units of length such as the barleycorn and the ell are extinct. In order to simplify the measurement of length and to avoid the need to remember factors needed to convert, say, a distance expressed in miles to a distance expressed in metres, it seems sensible 15 16 Measurement fundamentals (for the science and engineering communities at least) to agree to use a single unit for length measurement.
The manner by which an uncertainty is calculated depends on the circumstances, but it is usual to apply established statistical methods in order to calculate uncertainty. 34 Terms used in measurement A convenient way of expressing the best estimate of the particular quantity as well as the uncertainty in measurement is as follows. 05 s. 05) s. 30 s. In chapter 10 we will consider in some detail the use of the ± sign and what is meant by ‘good chance’. 11 Repeatability In many circumstances, measurements are made under (as far as is possible) identical conditions.