An Introduction to Uncertainty in Measurement: Using the GUM by L. Kirkup, R. B. Frenkel

By L. Kirkup, R. B. Frenkel

Dimension shapes clinical theories, characterises advancements in production approaches and promotes effective trade. In live performance with size is uncertainty, and scholars in technology and engineering have to determine and quantify uncertainties within the measurements they make. This e-book introduces size and uncertainty to moment and 3rd 12 months scholars of technology and engineering. Its method depends on the across the world acknowledged and urged instructions for calculating and expressing uncertainty (known through the acronym GUM). The data underpinning the equipment are thought of and labored examples and workouts are unfold through the textual content. targeted case stories in accordance with ordinary undergraduate experiments are integrated to augment the foundations defined within the ebook. This advisor is usually helpful to pros in who're anticipated to grasp the modern tools during this more and more very important region. extra on-line assets can be found to aid the publication at www.cambridge.org/9780521605793.

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15 m. 1 m. 10 m. 05 m. 05 m. 2%. 5 Such an analysis is to be preferred, since it leads to a clearer decision as to how many figures to retain. 24 Measurement fundamentals Rules 2 and 3 say, essentially, that the proportional uncertainty in the result of a calculation is dominated by the least accurate component in the calculation. Rule 2 When values are multiplied or divided, quote the answer to the number of significant digits that implies a proportional uncertainty closest to the greater of the component proportional uncertainties.

For example, the equation for kinetic energy E of a mass m, moving at velocity v, is given by E = 12 mv 2 . If m is given as a value in kilograms and v in metres per second, then E is automatically the correct value for the kinetic energy in joules. 3 Prefixes A quantity, such as a time interval, may span many orders of magnitude. At one extreme we might need to consider the time interval taken for an electromagnetic wave to travel the distance equal to the diameter of the nucleus of hydrogen. At the other extreme, we might require an estimate of the age of the Universe.

24 Measurement fundamentals Rules 2 and 3 say, essentially, that the proportional uncertainty in the result of a calculation is dominated by the least accurate component in the calculation. Rule 2 When values are multiplied or divided, quote the answer to the number of significant digits that implies a proportional uncertainty closest to the greater of the component proportional uncertainties. 4 s. 7%). 382 353 m/s. 7%. 4 m/s. Rule 3 When numbers are added or subtracted, quote the answer to the number of significant digits that implies a proportional uncertainty closest to the greater of the component proportional uncertainties.

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