Pressure Transmission Assignment PDF
9 Pages1317 Words192 Views
Added on 2021-04-21
Pressure Transmission Assignment PDF
Added on 2021-04-21
ShareRelated Documents
SOLUTIONS TO THE QUESTIONS Task1A hinged water storage is shown below. Its top side is denoted as C, the narrow side as B and the long side as A. Assume water density is1000 kg/m3 and gravity is 9.81 m/s2Side A is hinged at the bottom edge and secured using a clasp at its top edge. Dimensions are: L = 1.25m, H = 0.6m & W = 0.5mAnswers:(a) Volume of water = lxwxh= 1.25x0.6x 0.5 = 0.375m3The weight of water in the storage = ρgV= 9.81 x1000x 0.375 = 3.68kNBased on principle of transmission of pressure in Fluids: In an enclosed system of fluid, pressure transmission occurs uniformly across all points within the systemHence the force would act at the centroid of the side A given by intersection of diagonals as shown: Point of force action (3.68kN)
(b) R W 0.61.3(c) Now, taking moments about the hinge (base)The system is at static equilibrium hence: Wx0.3-Rx0.6= 0R= 3.68x0.3/0.6 = 1.84kN acting at 0.6m from the base Task2A sea water float consists of a cylinder and cone combined as shown here below. The density of sea water is 1026 kg/m3 and g = 9.81 m/s2Calculate the total upthrust in kN which is exerted on the float when it is totally immersed in the ocean.Draw a labelled diagram showing the float, the water level and all forces acting on the float. Dimensions are: D = 0.5m, H = 1.6m, h = 0.8m
Answers:In part a, we invoke Archimedes principle which states that: An object immersed in a fluid eitherwholly or partially, will experience an upthrust which is equal to the weight of fluid displacedby the same objectTherefore, it can be deduced that: Volume of fluid displaced = Volume of object immersed Volume of object immersed= 1/3Ah + 1/4πd2HSubstituting: 1/3 x3.142 x(0.5/2)2x0.8 + ¼ x 3.142 x0.52x1.6 = 0.052367 + 0.3142 = 0.3665m3Weight of fluid displaced = ρVg = 1026 x 9.81x 0.3665 = 3.69kN (this is the upthrust ) Due to Fluid weight above Due to Side pressure (Balanced on both sides) Upthrust
End of preview
Want to access all the pages? Upload your documents or become a member.
Related Documents
BTEC Level 3 Diploma In Mechanical Engineeringlg...
|11
|1401
|53
Fluid Mechanics/ Fluid Flow 13lg...
|13
|2205
|118