Elementary Hydrostatics with Chapters on the Motion of by W. H. Besant

By W. H. Besant

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Extra info for Elementary Hydrostatics with Chapters on the Motion of Fluids and on Sound

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1 metre 1 centimetre inch 1 1 foot 1 square inch 1 square foot 1 cubic inch 1 cubic foot = = = = = = = = 39*370432 inches. '393704 2-5400 cm. 30-4797 cm. 6'4516 sq. cm. 929'01 sq. cm. 16 "38 7 cub. cm. 28316 cub. cm. Mass. 1 kilogramme 1 grain avoirdupois 1 oz. 1 Ib. = = = = 2*2046212 Ibs. 15432-3484 grains. '064799 grammes 28*34954 453-59265 Weight. 23. Weight and Intrinsic Weight. of a body is the force exerted upon The weight it by the action of gravity. If a body, hanging freely, is supported by a single string, the tension of the string is equal to its weight.

We can hence obtain the position of the centre of pressure of the plane base. For the lines of action of the resultant pressures of the curved surface, of the weight, and of the resultant pressure of the plane base must be concurrent, and therefore since the distance of the centroid of the liquid from the centre of the sphere is three-eighths of the radius, it follows that the depth of the centre of pressure of the plane base below its centre is one-fourth of the radius. Ex. A hollow cone filled with water is held with its vertex required to determine the resultant pressure on either of the portions into which it is divided by a vertical plane 3.

RESULTANT HORIZONTAL PRESSURE. 47 54. PROP. To find the resultant horizontal pressure in a given direction of a liquid on any surface. Take a fixed vertical plane perpendicular to the given direction, and draw horizontal lines through the boundary of the surface PQ, meeting the vertical plane in the curve AB. The equilibrium of the liquid thus enclosed is maintained by its own weight, by the fluid pressures on its carved surface which are all parallel to the vertical plane, and by the fluid pressures on the surfaces and PQ.

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