A Treatise on Hydromechanics, Part 1 |
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Page 30
... base of the cylinder . C w2r2-2gz Now p = ck . є 2k and 2πk2 w2a2 ..M = gh gw pk ( 2k -1 ) ( 1 − € * ) , an equation by which C is determined . 31. In general the equation of equilibrium for a fluid revolving uniformly and acted upon ...
... base of the cylinder . C w2r2-2gz Now p = ck . є 2k and 2πk2 w2a2 ..M = gh gw pk ( 2k -1 ) ( 1 − € * ) , an equation by which C is determined . 31. In general the equation of equilibrium for a fluid revolving uniformly and acted upon ...
Page 31
... base a plane area equal to the area of the surface . We now add some examples of the determination of whole pressure . ( 1 ) A hemispherical bowl filled with water . Let r be its radius , p the density of water . Then the surface = 2π2 ...
... base a plane area equal to the area of the surface . We now add some examples of the determination of whole pressure . ( 1 ) A hemispherical bowl filled with water . Let r be its radius , p the density of water . Then the surface = 2π2 ...
Page 36
... base , the upper end , and the curved surface . 19. A sphere of 5 feet diameter revolves about a vertical axis 3 feet distant from its centre with angular velocity 2g ; if it be just filled with homogeneous fluid , prove that the ...
... base , the upper end , and the curved surface . 19. A sphere of 5 feet diameter revolves about a vertical axis 3 feet distant from its centre with angular velocity 2g ; if it be just filled with homogeneous fluid , prove that the ...
Page 40
... base on a horizontal plane , is just filled with a liquid , the density of which varies as the depth . The vessel is then inverted and held with its axis vertical and its vertex on the horizontal plane . Prove that the resultant ...
... base on a horizontal plane , is just filled with a liquid , the density of which varies as the depth . The vessel is then inverted and held with its axis vertical and its vertex on the horizontal plane . Prove that the resultant ...
Page 47
... base of the rectangle , the pressure at a height z is IIe , Art . ( 28 ) , and if b denote the breadth , the pressure upon a horizontal strip of the rectangle gz = IIe bdz , k .. the resultant pressure , if a be the height , = • a 0 gz ...
... base of the rectangle , the pressure at a height z is IIe , Art . ( 28 ) , and if b denote the breadth , the pressure upon a horizontal strip of the rectangle gz = IIe bdz , k .. the resultant pressure , if a be the height , = • a 0 gz ...
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Common terms and phrases
2nd edition 3rd edition 4th edition Aeneid angular velocity axis vertical body Books Camb Cambridge catenary catenoid centre of gravity centre of pressure cone constant cos² Crown 8vo curvature cylinder Demy 8vo density depth distance dx dy dy dx elastic English equal pressure equation equilibrium equilibrium is stable F. A. PALEY Fcap floats fluid pressure force free surface given horizontal immersed J. H. FREESE John's College lamina latus rectum LL.D mass mercury metacentre obtain paraboloid particle perpendicular plane of floatation position of equilibrium prove quantity radius resultant pressure revised revolution rotation sewed shew Small post 8vo solid solid of revolution spherical spheroid surface of revolution surfaces of equal tangent temperature Texts Translated Trinity College vertex vessel vols volume weight whole pressure
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