By L. Kirkup, R. B. Frenkel

ISBN-10: 0521844282

ISBN-13: 9780521844284

Size shapes medical theories, characterises advancements in production procedures and promotes effective trade. In live performance with size is uncertainty, and scholars in technology and engineering have to establish and quantify uncertainties within the measurements they make. This ebook introduces size and uncertainty to moment and 3rd yr scholars of technological know-how and engineering. Its process will depend on the the world over acknowledged and steered guidance for calculating and expressing uncertainty (known by means of the acronym GUM). The records underpinning the tools are thought of and labored examples and routines are unfold in the course of the textual content. particular case reports in line with commonplace undergraduate experiments are integrated to enhance the rules defined within the ebook. This advisor is usually priceless to execs in who're anticipated to grasp the modern equipment during this more and more very important zone. extra on-line assets can be found to help the e-book at www.cambridge.org/9780521605793.

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**Extra resources for An introduction to uncertainty in measurement using the GUM**

**Example text**

For example, the realisation of the metre is accomplished using a laser whose light has a precise frequency, f , that 2 3 The kilogram may eventually be deﬁned in terms of natural constants. One method would be to deﬁne it as the mass of a speciﬁed number of atoms of a particular isotope of an element. There is considerable progress along this route, which involves the fabrication of very accurate spheres of pure silicon of accurately known diameter. The lattice spacing of silicon atoms in this structure is well known (from X-ray-crystallographic measurements) and, since the volume is also well known (given the diameter and the accurate sphericity), the number of atoms can in principle be counted.

0158 kg. 003%. 08% and is the higher of the two proportional uncertainties. 08%. 5% 5 parts in 100 or 5%. 016 kg. Rule 4 When a quantity with proportional uncertainty p is raised to the power n, the resultant proportional uncertainty is |np| and the quoted number of signiﬁcant ﬁgures should reﬂect this. For example, the formula for the volume V of a sphere of diameter D is V = 1 π D 3 . 1 mm. 1%. 3% proportional uncertainty. 6 × 104 mm3 . We note that writing this as 66 000 mm3 implies too low an uncertainty, in view of the zeros.

The units of other quantities, such as latent heat, are usually expressed as a combination of derived units, with special names, and base units. 3. While it is often convenient to use derived units with special names when indicating the units of a quantity, all units may be expressed in terms of base units. Example 1 Show that the derived unit N/m (which is the unit of, for example, surface tension) can be expressed in base units as kg · s−2 . 3 and footnote 6 in chapter 4. 2. 3. 2, N = kg · m · s−2 , so kg · m · s−2 N = = kg · s−2 .

### An introduction to uncertainty in measurement using the GUM by L. Kirkup, R. B. Frenkel

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