A swimming pool is filled with 2 m of water. Its bottom is square and measures 4  m on a side. Two opposite sides are vertical; one end is at 45° and the other  makes an angle of 60° with the horizontal. Calculate the force of the water on  (a) the bottom, (b) a vertical side, (c) the 45° end, and (d) the 60° end. Use the  hydrostatic equation.

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 Question

A tank holds water (density of 995.7 kg/m3) with a triangular gate located at the bottom right. The gate is an isosceles triangle with a base/width of 0.7 m and a height of 1.4 m. What force (F) applied at the gate's centroid is needed to keep the gate closed? The height from the water surface to the gate centroid is given by h = 4.9 m. Please note that the side view of the gate is shown and that the force is applied at the gate's centroid, although not accurately drawn.

A tank holds water (density of 995.7 kg/m3) with a triangular gate located at the bottom right. The gate is an isosceles triangle with a base/width of 0.7 m and a height of 1.4 m. What force (F) applied at the gate's centroid is needed to keep the gate closed? The height from the water surface to the gate centroid is given by h = 4.9 m. Please note that the side view of the gate is shown and that the force is applied at the gate's centroid, although not accurately drawn.

1. Hydrostatic Force on Plane Surface. An open rectangular tank is 7 m high and has a square base 5 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.

6. 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.

A 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.)

In figure below, the force F is applied normal to the gate at point B to keep it closed. The gate hinged at point A, is making a 60-degree angle with the horizon. The length AB of the rectangular gate is 2m and the width of the gate normal to the plane of paper is 5 m. More information is provided on the figure. Determine 1- Magnitude and point of action of the resulting hydrostatic force. Determine distance of the center of pressure, P, from point B 2- Minimum value of the force F to just keep the gate closed Assume no friction in the hinge. Acceleration of gravity is 9.81 m /s^2. Water density 1000 kg/m3 B A Side View of the Gate F A

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 16

The total pressure force of a square plate is 25 kN, placed vertically in water so that the center of the plate is 1.5 m below the free surface. Determine the size of the plate and the depth of center of pressure. The above square plate is taken out of the water which weighs 370.5 N in air and 180.3 N in water of specific gravity 0.99. Find the volume and specific gravity of the square plate. Draw a neat sketch.