A Collection of Problems in Illustration of the Principles of Theoretical Hydrostatics and Hydrodynamics |
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Page 4
... circular ends being h , h ' , its radius r , and its length 7 ; to determine the pressure on its surface , including its extremities . The areas of its two ends are each equal to πr2 , and , the depth of the centre of gravity of one ...
... circular ends being h , h ' , its radius r , and its length 7 ; to determine the pressure on its surface , including its extremities . The areas of its two ends are each equal to πr2 , and , the depth of the centre of gravity of one ...
Page 11
... circular area is immersed vertically in a fluid , and has a point of its circumference in the surface ; the circular area being divided into two parts by a straight line drawn from its highest point at an angle of 45 ° to the horizon ...
... circular area is immersed vertically in a fluid , and has a point of its circumference in the surface ; the circular area being divided into two parts by a straight line drawn from its highest point at an angle of 45 ° to the horizon ...
Page 13
William Walton. on the whole area of the cycloid with that on a circular area of which the axis of the cycloid is a diameter . If P denote the pressure on the cycloidal and Q on the circular area , then P : Q7 : 2 . 25. An elliptic area ...
William Walton. on the whole area of the cycloid with that on a circular area of which the axis of the cycloid is a diameter . If P denote the pressure on the cycloidal and Q on the circular area , then P : Q7 : 2 . 25. An elliptic area ...
Page 15
... circular section , p the density at the lowest points of the fluid and p ' at any depth x . Then dp = gp'dx Ρ - gp h S = gp h x dx - x dx , дрог 2h Hence the whole pressure required is equal to ch gpx2 S. 2h 0 .c dx = gpch2 . Encycl ...
... circular section , p the density at the lowest points of the fluid and p ' at any depth x . Then dp = gp'dx Ρ - gp h S = gp h x dx - x dx , дрог 2h Hence the whole pressure required is equal to ch gpx2 S. 2h 0 .c dx = gpch2 . Encycl ...
Page 16
... circular area from its centre , and the inclination of this distance to the vertical . Then , the pressure on an elemental area rdē dr being rde dr.p = = gB 2a αβ 2a rd@dr.x2 rde dr . ( ar cos 0 ) 3 , the whole pressure on the circular ...
... circular area from its centre , and the inclination of this distance to the vertical . Then , the pressure on an elemental area rdē dr being rde dr.p = = gB 2a αβ 2a rd@dr.x2 rde dr . ( ar cos 0 ) 3 , the whole pressure on the circular ...
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Common terms and phrases
Albert Girard altitude angular velocity aperture axem axes axis vertical base Bernoulli body Bossut Bossut Traité Cambridge centre of gravity centre of pressure coinciding cone cos² cube Daniel Bernoulli denote the density denote the length depth determine distance dx dy Edition efflux elastic equal equation filled with fluid floating fluid displaced force free surface given hemisphere Hence humidum Hydrodynamique immersed vertically inclination incompressible fluid James Bernoulli lamina late Fellow latus rectum motion parabola parallel particles portion position of equilibrium position of rest problem quæ ratio required pressure resultant pressure right angles sesquialterum sin² small orifice solid cylinder specific gravity sphere supposed tangent Treatise triangle Trinity College unit of pressure University of Cambridge vertex vertical line vessel volume weight whole pressure
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