Homework Answers
ANSWER
Given that
the dam is 30 m high
20 m is lower part
and 30 m is upper part
the dam retains 25 m
the density of water p=100 kg/m^3
the earth surface g=9.8 m/s^2
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A vertical dam has the form of an isosceles trapezoid with horizontal sides parallel. The dam...
A vertical dam retains 15 m of water. It is pierced at its base witha semi-circular door 6m in diameter (the base of th...
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 18 m of water. It is pierced at the base by a...
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 retains 15 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 12 m of water. It is pierced at its base with a...
A vertical dam retains 12 m of water. It is pierced at its base with a semi-circular door 6 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 + Delta y m is approximately p (y) Delta y...
A vertical dam retains 12mof water. is pierced at its base with a semi-circular door 4...
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 dam is inclined at an angle of 30 rom the vertical and has the shape...
A dam is inclined at an angle of 30 rom the vertical and has the shape of an isosceles trapezoid 180 ft wide at the top and 90 ft wide at the bottom and with a slant height of 130 ft. Find the hydrostatic force on the dam when it is full of water. (Round your answer to the nearest whole number. Recall that the weight density of water is 62.5 lb/ft',)
Video Example EXAMPLE 1 A dam has the shape of a trapezoid shown in the top...
Video Example EXAMPLE 1 A dam has the shape of a trapezoid shown in the top figure. The height is 20 m and the width is 40 m at the top and 20 m at the bottom. Find the force on the dam due to hydrostatic pressure if the water level is 6 m from the top of the dam. 40 m SOLUTION We choose a vertical x-axis with origin at the surface of the water and directed downward as...
2. Adam the shape of a trapezoid is shown below. The height is 40m, the bottom....
2. Adam the shape of a trapezoid is shown below. The height is 40m, the bottom. Find the force on the dam due to hydrostatic pressure if the water n below. The height is 40m, the width is 60m at the top and 40m at dam. Assume that the density of water is p = 1000kg/m', and th c pressure if the water level is 4m from the top of the of water is p=1000 kg/m' and the acceleration of...
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 wid...
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...
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 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 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 12 m of water. It is pierced at its base with a semi-circular door 6 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 + Delta y m is approximately p (y) Delta y...
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 dam is inclined at an angle of 30 rom the vertical and has the shape of an isosceles trapezoid 180 ft wide at the top and 90 ft wide at the bottom and with a slant height of 130 ft. Find the hydrostatic force on the dam when it is full of water. (Round your answer to the nearest whole number. Recall that the weight density of water is 62.5 lb/ft',)
Video Example EXAMPLE 1 A dam has the shape of a trapezoid shown in the top figure. The height is 20 m and the width is 40 m at the top and 20 m at the bottom. Find the force on the dam due to hydrostatic pressure if the water level is 6 m from the top of the dam. 40 m SOLUTION We choose a vertical x-axis with origin at the surface of the water and directed downward as...
2. Adam the shape of a trapezoid is shown below. The height is 40m, the bottom. Find the force on the dam due to hydrostatic pressure if the water n below. The height is 40m, the width is 60m at the top and 40m at dam. Assume that the density of water is p = 1000kg/m', and th c pressure if the water level is 4m from the top of the of water is p=1000 kg/m' and the acceleration of...
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...
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