Determine the horizontal and vertical components of the liquid pressure acting on the semicylindrical gate ABC, as shown in the figure. The width into the paper is 1 m.
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Determine the horizontal and vertical components of the liquid pressure acting on the semicylindrical gate ABC, as shown in the figure. The width into the paper is 1 m.
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- An open cylindrical tank with the curved portion restraining a body of static fluid as shown in the plot below. The fluid in the tank is water. The room temperature is T=[t] 20 °C. The height from the free surface to the beginning of the curved surface is H= 3.00m. The The shape of the curved surface is a quarter circle.The radius of the circle is R= 1.70m. The width of the cylindrical tank w= 1.3 m (perpendicular to the screen). Answer the questions based on conditions provided. Horizontal distance to the centroid of the rectangular area (A1) above the curved surface from the right boundary of the curved surface, x1 ___________ (m)The AB and BC prismatic gates are made of different materials, and both gates are hinged at point B. Mass of gate AB is 850 kg, whereas mass of gate BC is [(25 x k) + 750] kg. The liquid on top of the gates is oil, which has a specific mass of pai = [750 + (12 x k)] kg/m?. The length of the system (perpendicular to the figure) is B=1 m. The length of the system (perpendicular to the figure) is B=1 m. Calculate the maximum value of h with the gates kept closed (i.e. remain horizontal). (Gates are made of homogeneous materials, and the thickness d can be neglected.) (k=5) ww g Su Su (Water) Yağ (Oil) (Water) B L0m dy 0.5 m ImThis problem uses Figure 1 .Consider a flat plate of thickness h submerged in a liquid of density (p). with the plate parallel to the free surface, as shown in the figure. The area of the top (and also bottom) surface of the place is A, and its distance to the free surface is s. Match the balancing pressures and forces to their correct expression. Figure 1 PrgsA Pr8(s+h)A Gauge pressure on the top of the plate pf'g*(s+h)*A Gauge pressure on the bottom of the plate pf*g*s Hydrostatic force on the top of the plate pf*g"(s+h) Hydrostatic force on the bottom of the plate pf'g*s*A > > >
- In the image given below, determine Ap between points A and B, when x = 15 cm. All fluids are at 20°C. Air Benzene 40 cm 07-19 48 c cm Kerosene Mercury- Water Take the specific weights to be Benzene: 8640 N/m³ Mercury: 133100 N/m³ Kerosene: 7885 N/m³ Water: 9790 N/m³ Pressure difference = Pa 19 cm 14 cm5. What is the pressure at the bottom of the 7.5 m tall storage tank of fluid at 25°C? Assume that the fluid is gasoline with atmospheric pressure 101 kPa on the top surface. Repeat the question for the liquid refrigerant R- 134a when the top surface pressure is 1 MPa. The densities of the liquids are: pgasoline = 750 kgm; PR-134a = 1206 kg/m2. %3DA closed tank whose bottom is 18 inches in diameter is filled with three liquids: 4 inches of carbon tetrachloride (SG=1.59), 2 inches of water and 12 inches of syrup (SG=1.31). The air chamber in the tank is pressurized at 1296 psf. d. Apply the PANEL EQUATIONS to determine the magnitude, direction and location of the total hydrostatic force acting at the bottom of the tank.
- Gate AB is subject to fluids on both sides as shown. Determine the following parameters considering a unit width (1 m) of the gate. For the water side: (a) A (m²), (b) (m), (C) F (KN), For the glycerin side: (d) A (m²), water Glycerin (SG = 1.26) (e) (m), (f) F (KN), and (g) What is the magnitude net hydrostatic force Fnet (kN) on the gate? 1.8 m 1.2 m 2.0 m 2.0 m A 1.0 m gateA factory's pressure tank rests on the upper base of a vertical pipe whose inside diameter is 1 ft. and whose length is 40 ft. The tank is a vertical cylinder surmounted by a cone, and it has a hemispherical base. If the alti-tudes of the cylinder and the cone are respectively 6 ft. and 3 ft. and if all three parts of the tank have an inside diameter of 6 ft., find the volume of water in the tank and pipe when full.Water at T = 20°C rotates as a rigid body about the z-axis in a spinning cylindrical container. There are no viscous stresses since the water moves as a solid body; thus the Euler equation is appropriate. (We neglect viscous stresses caused by air acting on the water surface.) Integrate the Euler equation to generate an expression for pressure as a function of r and z everywhere in the water. Write an equation for the shape of the free surface (zsurface as a function of r).
- L1 = 12.0 cm L3 = 5.0 cm Oil L2 10.8 cm Water Problem 2: A glass tube containing oil is inserted into a tank of water, as shown in the figure. Using the data on the figure, calculate the oil density. Assume the water temperature is 10 °CEngine oil at 60°C rotates as a rigid body about the z-axis in a spinning cylindrical container. There are no viscous stresses since the water moves as a solid body; thus the Euler equation is appropriate. (We neglect viscous stresses caused by air acting on the water surface.) Integrate the Euler equation to generate an expression for pressure as a function of r and z everywhere in the water. Write an equation for the shape of the free surface (zsurface as a function of r). (Hint: P = Patm everywhere on the free surface. The flow is rotationally symmetric about the z-axis.)5. In the figure shown below, the height of the water and oil are 15 and 8 m respectively. The container is open to the atmosphere (a) What is the gauge pressure and absolute pressure at the oil water interface? (b) What is the gauge pressure and absolute pressure at the bottom of the container? The density of the oil is 750kg/m^3 OIL WATER shutterstock.com - 1172374471 p=1000kg/m^3 Po=0.9 atm Pbottom=55kPa d? 00-0