A Treatise on Hydromechanics, Part 1 |
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Page 10
... expressing the weight of a cubic foot of water is th of that expressing its volume , th of that ex- pressing its mass , andth of the number expressing the work done in lifting it I foot . Find the units of length , mass , and time . 7 ...
... expressing the weight of a cubic foot of water is th of that expressing its volume , th of that ex- pressing its mass , andth of the number expressing the work done in lifting it I foot . Find the units of length , mass , and time . 7 ...
Page 17
... expression for dp may be obtained for any other system of co - ordinates . 21. Surfaces of equal pressure . In all cases , in which the equilibrium of the fluid is possible , we obtain by inte- gration If p be constant p = 4 ( x , y , z ) ...
... expression for dp may be obtained for any other system of co - ordinates . 21. Surfaces of equal pressure . In all cases , in which the equilibrium of the fluid is possible , we obtain by inte- gration If p be constant p = 4 ( x , y , z ) ...
Page 22
... expression Edm ( ZB - Yy ) becomes [ [ [ dadsdy ( p + dpa + dp B + dp v ) { B dy ' dz - -Y Y ( 1 dz dz dz BZ + a + B + dx dy dY dy dy dz + a + B + ~ ) } . dx dy dz γ Now fffadadẞdy = 0 , the centre of the sphere being the centre of ...
... expression Edm ( ZB - Yy ) becomes [ [ [ dadsdy ( p + dpa + dp B + dp v ) { B dy ' dz - -Y Y ( 1 dz dz dz BZ + a + B + dx dy dY dy dy dz + a + B + ~ ) } . dx dy dz γ Now fffadadẞdy = 0 , the centre of the sphere being the centre of ...
Page 25
... expressions , find x in terms of x ' . Also , equating the volumes of corresponding strata , we obtain y❜dx = y'da ' , which at once , by substituting for x its value in terms of x ' , gives the equation required . The value of h ...
... expressions , find x in terms of x ' . Also , equating the volumes of corresponding strata , we obtain y❜dx = y'da ' , which at once , by substituting for x its value in terms of x ' , gives the equation required . The value of h ...
Page 27
... expression for the pressure at any point is p = С — —μp ( x2 + y2 + z2 ) = C − ± μpr2 , - where r is the distance from the origin ; and if Ta3 be the given volume , the free surface is a hemisphere of radius a , and p = 1⁄2μp ( a2 — r2 ) ...
... expression for the pressure at any point is p = С — —μp ( x2 + y2 + z2 ) = C − ± μpr2 , - where r is the distance from the origin ; and if Ta3 be the given volume , the free surface is a hemisphere of radius a , and p = 1⁄2μp ( a2 — r2 ) ...
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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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