A tank full of water is designed with ends in the shape of an isosceles triangle with height 19 meters and width, at the top, of 2 meters. Find the hydrostatic force on one end of the tank. Newtons
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- The hemispherical glass bowl is filled with water. Find the location y of the center of gravity of the filled bowl. Approximate the bowl as a thin shell of radius R=6.15in. Use 1=162lb/ft3 for glass and 2=62.4lb/ft3 for water.Note: In the text, all questions use 62.5 pounds/ft as the force per volume density of water. In metric, we would need Newtons/meter. The mass density per volume of water is 1000 kg/m³. To convert this into a force density per volume, we multiply by gravity, approximately 9.8 m/s?. The resulting quantity is the force density per volume in metric: 9800 N/m³.A tank full of water is designed with ends in the shape of an isosceles triangle with height 6 meters and width, at the top, of 17 meters. Find the hydrostatic force on one end of the tank.
- The zoo is building a new polar bear exhibit, and wants to put a semi-circular window in the concrete wall of the swimming tank. (Note: picture is not to scale) If the semi-circle has diameter 50 centimeters, and the bottom of the window is at a depth of 2.75 meters, find the hydrostatic force on the window. Newtons Submit Question The Deligne Dam on the Cayley River is built so that the wall facing the water is shaped like the region above the curve y = 0.5z and below the line y = 300. (Here, distances are measured in meters.) The water level is 30 meters below the top of the dam. Find the force (in Newtons) exerted on the dam by kg and the acceleration of gravity is 9.8 water pressure. (Water has a density of 1000- Sseca -) Note: Weight density of water is 1000(9.8)=9800 N/m^3 Submit QuestionUse the following figure for both questions below. 1. The end of a tank containing water is vertical and has the shape of the bottom of a half circle of radius 10m. Determine the hydrostatic force against the end of the tank. 2. A milk truck carries milk with density 64.6lb/f in a horisontal cylindrical tank with diameter 6/t. F'ind the force exerted by the milk on one end of the tank when the tank is half full.1. A beaker of circular cross section of radius 8 cm is filled with mercury up to a height of 6 cm. Find the force exerted by the mercury on the bottom of the beaker. The atmospheric pressure = 105 N m. Density of mercury - 13600 kg/m3 . Take g =10
- Find the hydrostatic force in kN acting in a triangular plate of base 2 m and height 3 m which is immersed in water in such a way that the plane of the plate makes an angle of 60 degrees with the free surface of the water. The base of plate is parallel to water surface and at a depth of 2.5 m from the water surface.1. A metal plate determined by y = x2 submerged in water as show. Find the total hydrostatic force on 16 the plate. You may leave the density of water as p and gravity as g. Give exact answer. (20,25) Gusten Lo woter level metal plate 16Surface AB is a circular arc with a radius of 2 m and a width of 1 m into the paper. The distance EB is 4 m. The fluid above surface AB is water, and atmospheric pressure prevails on the free surface of the water and on the bottom side of surface AB. Find the magnitude and line of action of the hydrostatic force acting on surface AB.
- The zoo is building a new polar bear exhibit, and wants to put a semi-circular window in the concrete wall of the swimming tank. (Note: picture is not to scale) If the semi-circle has diameter 60 centimeters, and the bottom of the window is at a depth of 2.75 meters, find the hydrostatic force on the window. Newtons4. A conical vessel has a height of 24cm and a base diameter of 12 cm. It holds water to a depth of 18 cm above its vertex. Find the volume (in cm3) of its content. r=6 h=24 24 h=18 18A vertical plate is submerged in water and has the indicated shape. 10 m 6 m A triangle is submerged in water pointed up. The top most vertex of the triangle touches the surface of the water. The base of the triangle is 6 m and is parallel to the surface of the water. The height of the triangle is 10 m. Express the hydrostatic force (in N) against one side of the plate as an integral (let the positive direction be downwards) and evaluate it. (Use 9.8 m/s2 for the acceleration due to gravity. Recall that the weight density of water is 1,000 kg/m3.)