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Extra resources for Application of the Law of Similitude to Hydraulic Laboratory Research

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To facilitate the measurement of objects to be studied, the metre is multiplied or divided by multiples of 10, providing a decimal system that responds to the necessity for simplicity. The universality of the denominations is respected by using the `root languages' of Greek and Latin: the multiples of units (10, 100, 1000) have Greek prefixes (deca-, hecto-, kilo-), and the divisions (1/10, 1/100, 1/ 1000) are derived from Latin (deci-, centi-, milli-). The unit of mass, the kilogramme, was linked to the metre by a definition given by the chemist Antoine-Laurent Lavoisier: it is the mass of a cubic decimetre of distilled water, at a given temperature and pressure.

G thus regained its universal significance, earning its place in category C. GENERAL RELATIVITY: FROM SUCCESS TO SUCCESS Since its formulation, the theory of general relativity has been confirmed on many occasions, two of which will be described here. The first concerns the 48 Planning the edifice: structure of theories anomalous orbit of the planet Mercury, which Newton's theory could not explain. e. the point in its orbit where it is closest to the Sun, advances more rapidly than Newtonian theory predicts.

We encountered a case of fusion in Chapter 1, with Galileo's law of falling bodies and Kepler's third law on the elliptical orbits of the planets. With our mathematical approach, we see that these laws involve two constants, the acceleration due to gravity g and the constant of proportionality K between the square of the orbital period and the cube of the semi-major axis of the ellipse. Newton's elaboration of the theory of gravity led to the disappearance of these two constants in favour of a unique concept represented by the gravitational constant G.

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Application of the Law of Similitude to Hydraulic Laboratory Research by Therry G.


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