By L. Kirkup, R. B. Frenkel
Dimension shapes clinical theories, characterises advancements in production methods 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 e-book introduces size and uncertainty to moment and 3rd 12 months scholars of technological know-how and engineering. Its strategy will depend on the across the world known and prompt directions for calculating and expressing uncertainty (known by means of the acronym GUM). The data underpinning the equipment are thought of and labored examples and workouts are unfold through the textual content. distinct case stories according to standard undergraduate experiments are integrated to enhance the rules defined within the e-book. This advisor is additionally necessary to execs in who're anticipated to understand the modern equipment during this more and more very important zone. extra on-line assets can be found to aid the publication at www.cambridge.org/9780521605793.
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Extra resources for An Introduction to Uncertainty in Measurement: Using the GUM
3 At present (2005) 51 nations are signatories to the Metre Convention. 2 Base and derived units The SI consists of seven base units. 1. It should be noted that the speed of light in a vacuum, c, has a deﬁned quantity, 299 792 458 m · s−1 , with zero uncertainty. Other units, created by combining SI base units, are referred to as derived units. As an example, the average speed, v, of a body is related to the distance, d, travelled by a body in a time, t, through the equation v= d . 1) by its unit gives unit of speed = m , which may also be written as either m/s or m · s−1 .
G. Lampard (1956), ‘A new theorem in electrostatics and its application to calculable standards of capacitance’, Nature, 177, 888. Geometry-independence in the calculable capacitor is such that only a single distance needs to be measured. There are cases in electrical metrology where geometry-independence is complete, in the sense that the basic equations determining an electrical standard involve no length measurements at all. Three examples are the Josephson effect as used for voltage standards, the quantum Hall effect as used for resistance standards and the so-called cryogenic current comparator for measuring ratios of direct currents (‘dc’).
The consequences of lack of traceability, in some instances, can be severe. For example, if a component manufacturer cannot satisfy a regulatory authority that results of measurements on its components can be traced back to a primary standard, then that manufacturer may be prohibited from selling its products in its own country or elsewhere. 6 Value The process of measurement yields a value of a particular quantity. 44 g. A value may be regarded as the product of a number and the unit in which the particular quantity is measured.
An Introduction to Uncertainty in Measurement: Using the GUM by L. Kirkup, R. B. Frenkel