3. hydrostatic force on each of the four sides. A cuboid tank 8 m long, 4 m wide, and 2 m high is full of water. Find the
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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.One side of the container has a 03-m square door that is hinged at its top edge. If the container is filled with water, determine the smallest force F that must be applied to the bottom edge of the door to keep it closed.Calculate the resultant force caused by the water acting on the parabolic arch dam. The water levels are 16 ft on the upstream side and zero on the downstream side. For water, use =62.4lb/ft3.
- 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.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 =10Find 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.
- A tank contains water up to a height of 10 m. One of the sides of the tank is inclined. The angle between free surface of water and inclined side is 60 degrees. The width of the tank is 5 m. Find the force in kN exerted by the water on the incline side. ( With Free Body Diagram)2. A vertical rectangular gate 1.75 m wide and 2.75 m high is submerged in water with the top edge 1.75 m below the water surface. Find the total pressure acting on one side of the gate and its location from the bottom.1. Hydrostatic Force on Plane Surface. An open rectangular tank is 6 m high and has a square base 4 m on a side. If the tank is half-filled with fresh water (density is 1000 kg/m'), determine (a) the total hydrostatic force on a vertical side, in kN and (b) the location of the center of pressure as measured from the liquid surface, in cm. Draw the side view of tank showing the hydrostatic force F and the distance, yp. Is I + Ad a. Magnitude: F = yh,A b.Direction: Perpendicular to the Area c. Location: y, === S.
- 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.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 Question6. A right circular cylindrical tank with its circular base on the ground is full of water. The diameter of the base is 30 ft, and the height of the tank is 20 ft. Set up a Riemann sum to approximate the hydrostatic force against the lateral wall of the tank. Then express the force as an integral and evaluate it.