A vertical dam retains 12 m of water. It is pierced at its base with a...
A vertical dam retains 15 m of water. It is pierced at its base with a semi-circular door 8 m in diameter (the base of the door is its diameter), as indicated in the figure below. a) Let y denote the height in meters measured from the base of the dam. The hydrostatic force exerted by the water on the portion of the door comprised between y m and y + 4y m is approximately p(y) delta y N, what...
A vertical dam retains 15 m of water. It is pierced at its base witha semi-circular door 6m in diameter (the base of the door is its diameter), as indicated in the figure below. 15 door 6 a) Let y denote the height in meters measured from the base of the dam. The hydrostatic force exerted by the water on the portion of the door comprised between y m and y+ Ay m is approximately p (y) Ay N.What is...
A vertical dam retains 12mof water. is pierced at its base with a semi-circular door 4 m in diameter (the base of the door is its diameter), as indicated in the figure below. 12 door Let y denote the height in meters measured from the base of the dam. The hydrostatic force exerted by the water on the portion of the door comprised between y m and y +Delta y m is approximately p (y) Delta y N. What is...
A vertical dam retains 18 m of water. It is pierced at the base by a rectangular door 3 m wide and 4 m high, as indicated in the figure below. ---+- 18 door a) Lety denote the height in meters measured from the base of the dam. The hydrostatic force exerted by the water on the portion of the door comprised between y mandy + Ay mis approximately /6) Ay N. What is () 7 Note that the density...
A vertical dam has the form of an isosceles trapezoid with horizontal sides parallel. The dam is 30 m high, 20 m in its lower part and 30 m in its upper part. Finally, the dam retains 25 m of water, as indicated in the figure below. - 30 - wwwwwwwwwwwt - F-35 - +- 20 - a) Let y denote the height in meters measured from the base of the dam. The hydrostatic force exerted by the water on...
2. A dam 20 m long retains H = 7 m of water, as shown in figure below. Find the total resultant hydrostatic force (F) acting on the dam and the location of the center of pressure (hcp) if a is 60° 111
A 3-m diameter roller gate retains water on both sides of a dam crest as shown below. Axes (x,y) are given in the diagram to indicate the convention for positive values. The origin of your coordinate system (O) is at the base of the roller gate where it contacts the dam. Indicate direction of Forces either with an arrow, writing the direction (ie. Right/left or up/down) or +/- sign indicating what way is positive based on the axes definition given....
A reservoir has the shape of a pyramid with square base, with apex facing down. Its height is 2 m, a side from its base is 3 m and it is filled with water up to 1 m. Δ= (i Leta be the height in meters measured from the apex to the base of the reservor. The weight in New tons of a thin layer of water bete een approximately P (z) Δ# : What is P (z) ? P...
A circular plate with radius 8 m is submerged vertically in water as shown. Express the hydrostatic force against one side of the plate as an integral and evaluate it. (Round your answer to the nearest whole number. Use 9.8 m/s2 for the acceleration due to gravity. Recall that the weight density of water is 1000 kg/m3.) (ρg 8 −8 =?) (dy ≈ ?N). BTW the distance of the submerged circular plate from its top is 4m to the surface...
a) The horizontal force(s) (direction and magnitude) acting on the gate per unit width and draw the pressure distribution diagram(s) [6 marks] b) The vertical force(s) acting on the gate per unit width (Include direction and magnitude). [6 marks] c) If the gate is 5 m long (into the page), calculate the magnitude, direction and angle of the resultant hydrostatic force acting on the gate. [7 marks] d) The net horizontal force acting on the dam per unit width. Include...