## The Elements of Hydrostatics and HydrodynamicsJ. Smith, 1831 - 95 pages |

### From inside the book

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**radius**of gyration of the solid revolving round G in the plane ADB , HG = c ; then , retaining the notation of Art . 26. , the moment of the pressure of the fluid tending to turn the solid round G in the direction FMG = gpV.GM.0 = gpV ... Page 29

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**radius**of curvature at A ; R , S the radii of curvature at P in the plane APD , and perpendicular to APD ; PEA a canal leading from P to A. Now when the fluid in PEA is at rest , the pressure at A produced by the action of gravity and ... Page 32

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**radius**of the tube , V = ( 0,01 ) πα . 49. To find the tension of a flexible cylindrical vessel containing fluid . Let MK , PQ , HL ( fig . 25. ) be equidistant sections of the cylinder made by planes perpendicular to its axis . Draw PE ... Page 49

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**radius**of the sphere , and , therefore , x2 + y2 = a2 the equation to its generating circle . Then , y + xd , x = 0 ...**radius**of which is a , = p2πa2 , therefore the resistance on a sphere is half the resistance on a circular plate of ... Page 75

... the fluid being the same in cach case . 118. A hollow sphere is just filled with fluid ; to com- pare the pressure on the internal surface of the sphere with the weight of the fluid . Let a be the

... the fluid being the same in cach case . 118. A hollow sphere is just filled with fluid ; to com- pare the pressure on the internal surface of the sphere with the weight of the fluid . Let a be the

**radius**of the sphere ; then 75.### Other editions - View all

### Common terms and phrases

½ pv² a² x² accelerating force air displaced altitude apparent weight ascend atmospheric pressure axis barometer bell boiling point centre of gravity centre of pressure column of fluid column of mercury contained cubic inch density depth descends equal equation equilibrium expansion of mercury flask fluid acted fluid at rest fluid displaced glass tube Hence HK ult hollow cylinder horizontal plane HYDROMETER immersed inches of mercury let the surface mass meets PC melting snow motion nearly occupied the space orifice parallel perpendicular piston plane of floatation plate pressure on ABC pressure on PQR prism pump radius resistance S. G. fluid S.G.fluid specific gravities sphere stream impels syphon tension thermometer valve opening upwards vapour velocity vessel volume water in BC

### Popular passages

Page 7 - BPC) ; or, the pressure of a fluid on any surface is equal to the weight of a column of the fluid whose base is equal to the area of the surface, and altitude equal to the depth of the centre of gravity of the surface below the surface of the fluid.

Page 10 - Prove that the resultant pressure of a fluid on the surface of a solid immersed in it is equal to the weight of the fluid displaced, and acts upwards in the vertical line through the centre of gravity of the fluid displaced.

Page 49 - ... the freezing point is marked 32°, and the boiling point 212°. In the centigrade thermometer...

Page 63 - ... Fire-engine; and explain the use of the air vessel. If A be the area of the section of each pump, I the length of the stroke, n the number of strokes per minute, B the area of the hose, find the mean velocity with which the water rushes out. 6. Explain the terms specific gravity and density; and shew how to compare the specific gravities of two fluids by weighing the same body in each. Supposing some light material, whose density is p, to be weighed by means of weights of density p, the density...

Page 6 - For let pp be the densities, and za' the altitudes of the fluids above the common surface ; then the pressure referred to a unit of surface of the two fluids at the common surface must be equal and opposite, because there is equilibrium ; call it p ; then, considering the first fluid, we have (Art.

Page 7 - C. of pressure of a plane surface immersed in a fluid is the point in which the resultant of the pressures of the fluid meets the surface.

Page 11 - ... equal to the weight of the water displaced, and the line joining the centres of gravity of the solid and water displaced must be vertical.

Page 49 - Now, the weight of a column of air of the height of the atmosphere is equal to that of a column of mercury twenty-eight inches high, or of a column of water of the height of about thirty-three feet.

Page 16 - Describe the experiment by which it is shewn that the pressure of air at a given temperature varies inversely as the space it occupies.