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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.A 6-in. diameter hole is drilled in the conical frustum. Calculate the volume and the surface area of the resulting body.The 12-ft wide quarter-circular gate AB is hinged at A. Determine the contact force between the gate and the smooth surface at B due to water pressure acting on the gate. Use =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.The plane region A is submerged in a fluid of weight density . The resultant force of the fluid pressure on the region is R acting at the point C (called the pressure center) located at the distance h below the surface of the fluid. Show that R=Qa and h=Ia/Qa, where Qa and Ia are the first and second moments of A about the axis a-a.Find the elevation h (km) where the weight of an object is one-tenth its weight on the surface of the earth.
- The cylindrical water tank with R = 10 ft and H = 1.6 ft has thin steel walls of uniform thickness and weighs 18000 lb when empty. Determine the depth of the water h for which the center of gravity G of the tank plus water will be located at the surface of the water. For water, use =62.4lb/ft3.A tank is filled with fluid under prcssurc anti the prcssurc gauge fixcd at the top indicatcs a prcssurc of 21 kPa. The curved surfacc of the top is quarter of a circular part of radius 2.6 m. calculate the magnitude (N) and direction (degree) of the resultant force on the cun'ed surface. (p=950kg./m³for fluid)Find the fluid force on the vertical side of the tank, where the dimensions are given in feet. Assume that the tank is full of water. (The weight-density of water is 62.4 pounds per cubic foot.) Ib Trapezoid 4 6 2 Show My Work (Required) 3
- A semicircular plate with diameter 12 ft is submerged vertically 3 ft below the surface of the water. Express the hydrostatic force (in Ib) against one side of the plate as an integral (let the positive direction be upwards) and evaluate it. (Round your answer to the nearest whole number. Recall that the weight density of water is 62.5 Ib/ft3.) 2 ( (11-y)V24 -j? ). 6. dy z 22809 IbAn equilateral triangular plate with sides 8 m is submerged vertically in water so that the base is even with the surface. Express the hydrostatic force against one side of the plate as an integral (let the positive direction be downwards) and evaluate it. (Round your answer to the nearest whole number. Use 9.8 m/s2 for the acceleration due to gravity. Recall that the maa density of water is 1000 kg/m3.)Answer the following. A: When the pressure of liquid is increased from 3.5 MN/m² to 6.5 MN/m² its volume is found to decrease by (0.08) percent. What is the bulk modulus of elasticity of the liquid? B: An open cylindrical tank (1.2m) in diameter and (1.8m) deep is filled with water and rotated about its central axis at (60 r.p.m). How much liquid is spill and how deep of the water at the central axis.