The sluice gate shown is a circular arc of radius 6m and angle B=50o. The water level behind the gate  flushes to the gate’s top most edge. Knowing that the length of the gate is 5m (dimension perpendicular to the  paper), determine the total hydrostatic force acting on the gate. a) 694.73kN b) 637.65kN c) 630.66 kN d) 712.45kN e) None

8) A) A rectangular plate with dimensions 3m x 5m is submerged horizontally in a pool of water. Find the fluid Force on one side of the plate if it is 2m below the water's surface. Ans: 147000 J b) Find the Force on one side of the plate if it is submerged vertically and the edge of the plate is 2m below the surface. Ans: 661500J 9) Find the COM of the region under f(x)= 6-2x, [0, 3] Ans: (1, 2)

21 - A vertical cylindrical vessel with a diameter of 15 cm and a height of 40 cm is partially filled with 25 cm high water. The cylinder is rotated at a constant speed of 20 rad/s. What is the maximum height difference between the edge and the center of the free surface?    a) 11.5cm  B) 15cm  NS) 5.4cm  D) 9.5cm  TO) 7.2cm   22 - The water level in a tank is 9.4 m above the ground. At the bottom of the tank, the sprinkler connected to the pipe end faces upwards. The effective pressure at the water surface inside the tank is 300 kPa. Since the system is at sea level, how high does the water coming out of the fountain rise? (ρ=1000 kg/m³)    a) 48 meters  B) 25m  NS) 30m  D) 40m  TO) 20m

Q1: Consider a large cubic ice block of (1 m) surface area floating in seawater. The specifie gravity of ice is 0.92. If a (15 cm) high portion of the ice block extends above the surface of the water, determine the height of the ice block below the water surface, h? 15 em Sea Water Ice Block

11th - A rectangular plate with a width of 2 m and a height of 3 m was submerged in water. The distance of the upper edge of the plate from the free surface of the water is 5 m. Since the atmospheric pressure is 95 kPa, what is the hydrostatic pressure force on the plate surface considering the atmospheric pressure?    a) 688 kN  B) 747 kN  NS) 864 kN  D) 307 kN  TO) 2950 kN

Please answer all thank you(6)

Calculated a) as 16.554kN, b) as 26.003kN and c) as 0.637m Need help with d) and e)