= wfhdA is the hydrostatic force exerted by a liquid of specific weight on an area immersed in 7.. If F = 0 it, h is the distance of the rectangular element dA from the (A) top of the immersed area (B) origin (C) surface of the liquid (D) top of the liquid container
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- 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.In the water, a square plate with (side= a) is lying vertically, with its upper horizontal edge touching the water's surface. The positions of the centre of pressure (h*) on the planar surface and the total pressure force (P) will be determined by: [Where, p is the density of water (a) P=pga/2, h=2/3.a (b) P=pga¹/2, h=2/5.a (c) P pga/4, h-2/5.a (d) P=pga/3, h=2/3.a (e) P=pga¹/5, h=2/7.a1. 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.
- A cylind er with density, p. height, h, radius, r is partially submerging at 6tatic, with depth, u in a fluid with density, Po, os shown Ratio o f a Circ Um ference to its diameter is T1. Determine all the forces acting on the cglinder at y-directionA cylinder with a radius of r=1 m is hinged at location A. It is used as a gate to block water in the reservoir with H=6 m a) Determine the horizontal and vertical components of the resultant hydrostatic pressure force acting on the curved surface AB per unit lentgh and its direction. b) For this cylindirical gate, what is the required weight per unit length, to open automatically at H=6 m. water AThere are various methods that can be used to calculate the hydrostatic force on a submerged surface. Which of the following statements are correct? (i) (iii) The pressure prism method gives good understanding of the fundamentals but it can only be used for plane surface uniform in the spanwise direction. The parallel axis theorem can be used for surface not uniform in the spanwise direction such as a circular or triangular plane surfaces, but it is limited to simple geometry where the second moment of area can be easily defined. The elementary area method can be used for any 2 or 3 dimensional surface as long as the geometric unit normal vector is known at any point on the surface. (A) (B) (C) (D) (i) and (ii) (i) and (iii) (ii) and (iii) All of the above The Eulerian frame of reference is commonly used in analyzing fluid problems instead of the Lagrangian frame of reference. The main differences between these 2 frames of reference are: (i) The steady motion in Lagrangian frame of…
- A 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.Q4) There is a balance between an immersed block and the mass on the scale as shown in figure. Assuming that the block is immersed in water, determine the density for block. (Block has a cubic geometry. Pwater= 1000 kg/m®) 2 kg Mass 12 cm BlockM1 U5: Use the general solution in determining the total hydrostatic force acting on the submerged curved surface. Please provide the complete UNITS ANALYSIS, USE OF CORRECT CONVERSION RATIOS and DIAGRAMS in your hand-written solution. INCOMPLETE/NO SOLUTION means NO CREDIT. Encode your FINAL answer in the space provided after each question. A curved surface is formed as a quarter of a circular cylinder with R = 0.75 m as shown. The surface is w 3.55 m wide. Water stands to the right of the curved surface to depth H = 0.60 m. seawater 0.60 m (SG = 1.03) %3D 0.75 m Determine the magnitude and direction of the horizontal component of the hydrostatic force (in N) acting on the gate. Indicate the direction by putting an R for right and L for left after your numerical answer. Your answer
- The flat surface shown is submerged vertically in water. Find the fluid force against the surface. The weight density of water is 9810 N/m3. 1 m 3 m 6 m Enter the exact answer. F = i %3DConsider the hemispherical gate attached to a cylindrical buoy as shown in the figure. The thickness of and weight of the cable connecting the buoy and the gate are negligible. Which of the following is the volume above the hemispherical gate that is needed in the calculation of the vertical component of the resultant hydrostatic force acting on it? 4m Y? 3 m Select one: O a. cylinder up to the liquid surface O b. cylinder up to the liquid surface minus the hemisphere O c. cylinder up to the bottom surface of the buoy O d. cylinder up to the bottom surface of the buoy minus the hemisphereA rigid container is closed at one end and measures 8 in. diameter by 12 in. long. The container is held vertically and slowly moved downward until the pressure in the container is 15.5 psia. What will be the depth of the water surface measure from the free water surface? ANswer: 22in Fluid Mechanics ( Please include units)