dimensional analysis
Q: Which one is not a primary dimension? (a) Velocity (b) Time (c) Electric current (d ) Temperature…
A: In mechanics, primary or fundamental dimensions are the one that is independent of any other…
Q: The following operations may be done on a dimensionless product to obtain other another product…
A: Correct answer: d) multiplying it by a constant
Q: dimensionless
A:
Q: Applying Dimensional Analysis to the human anatomy studies, it was found that the velocity, c, at…
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Q: find an appropriate dimensionless
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Q: Applying Dimensional Analysis to the human anatomy studies, it was found that the velocity, c, at…
A: It is required to perform dimensional analysis for velocity
Q: The force (F) acting on a particle moving in a fluidized bed depends: the mass of the particle, it…
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Q: Which of the following is not an application of the dimensional analysis? A. To find the…
A: following is the explanation for the above question-
Q: ow to solve dimensional analysis problems
A: dimensional analysis is used o determine relation between key physical parameters
Q: 1. Geologists are able to discover oil deposits by measuring variations on the gravitational…
A: geologists are able to discover oil deposits by measuring variations on the gravitational…
Q: 03: The power output (P) of a marine current turbine is assumed to be a function of velocity U,…
A: Solution: SInce number of variables is more than three, Buckingham π-theorem is more suitable for…
Q: The primary dimensions of the gas constant over the universal gas constant R/Ru are (a) L2/t2·T (b)…
A: Ideal gas equation is given as,
Q: At any time, approximately 20 volcanoes are actively erupting on the Earth, and 50–70 volcanoes…
A: This problem is related to fluid mechanics. Fluid mechanics is the subject of mechanical engineering…
Q: 1- The pressure drop, Ap, along a straight pipe of diameter D has been experimentally studied, and…
A: Given, Pressure drop = ∆p Diameter = D Length = l Velocity = V Fluid viscosity = μ
Q: In GD&T terminology, what is a theoretically exact dimension called? None of these answers are…
A: GD&T terminology is Geometric dimensioning and tolerance system used for system designs in…
Q: Give some example of IMPORTANCE OF DIMENSIONS AND UNITS?
A: A unit of a measurement is a definite magnitude of a physical quantity, defined and adopted by law,…
Q: Ship whose full length is 100 m is to travel at 10 m/sec. For dynamical similarity, with what…
A: Given data: Lm=100 mVm=10 m/sLp=10025=4 m Need to determine the velocity.
Q: 1.5 The power generated by a pump PE is a function of the volumetric flow rate Q, the height of…
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Q: These dimensions concern transportation systems. Look up the dimensions of the following vehicles;…
A: DISCLAIMER….. SINCE YOU HAVE POSTED A QUESTION WITH MULTIPLE SUBPARTS WE WILL SOLVE FIRST THREE…
Q: PLEASE BOX YOUR ANSWERS Problem 2 In an experiment conducted in a laboratory, the surface tension…
A: buckingham'S π theorem the surface tension Y is a function depends on external torque ς,plate length…
Q: Which modelling technique is suitable for modelling complex geometry?
A: The most suitable technique for modelling complex geometry is Wireframe modelling.
Q: 03: The power output (P) of a marine current turbine is assumed to be a function of velocity U,…
A: In this question in the first part we have to prove the relation and in rest of the parts we need…
Q: Fluid mechanics theory The power input P to a centrifugal pump is a function of the volume flow Q,…
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Q: Dimensional analysis can be used in problems other than fluid mechanics ones. The important…
A: T=fcnl,I,E,ρ,σ
Q: In the field of air pollution control, one often needs to sample the quality of a moving airstream.…
A: Given Data:
Q: The pressure difference ∆p produced by a water pump, and the power P required to operate it,…
A: Solution:- Given that:- ∆P & P=fD, φ,ω,ρ,μ → I Where, ∆P=Pressure difference…
Q: 03: The power output (P) of a marine current turbine is assumed to be a function of velocity U,…
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Q: Q=What is the importance of regression analysis in transportation engineering? ANSWER in word fomat
A: Q=What is the importance of regression analysis in transportation engineering?
Q: 12 نقطة Give Justification for performing a geometrically scaled model rather than the full-scale…
A: By the definition of dimensional analysis we know that In most of experiments, to save time and…
Q: b) CHOOSE A SET OF PRIMARY DIMENSIONS c) CHOOSE A SET OF REPEATING PARAMETERS OSE THE REPEATING…
A: (e) dimensionless group Reynolds no = inertia forceviscous force = ρ u Dμ when Re < 2000 ,…
Q: nvestigate with dimensional analysis, is this equation true t = [ 2x / a ]1/2 B. Express…
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Q: A2) In order to solve the dimensional analysis problem involving shallow water wave as in Figure 2,…
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Q: External Problem 1: Dimensional analysis and similarity A fighter aireraft is to operate at 200 m/s…
A: Given: Velocity of the prototype (Vp)=200m/sDensity of the fluid in prototype (ρp)=1.2kg/m3Scale…
Q: Here, a 1:10 scale prototype of a propeller on a ship is to be tested in a water channel. What would…
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Q: 1. What are the modeling methods in engineering
A: It's a structured approach for supporting the requirements, design, analysis, verification, and…
Q: A surface vessel is 156 m long and moves at a velocity of 6.83 m/s. Determine the velocity of a…
A: Length, Lp = 156 m Length, Lm= 2.44 m Velocity Vp = 6.833 m/s Calculate the velocity of the model…
Q: Force F is applied at the tip of a cantilever beam of length L and moment of inertia I Fig. . The…
A: There are five parameters that are listed below with dimensions, Force (F)- MLT-2 Length (L)- L…
Q: Define dimensional homogeneity.
A: Dimensional homogeneity It is a concept that the dimension of variables on both sides of an…
Q: What do you mean by dimensional homogeneity?
A: To check the physical equation we use dimensional homogeneity, Any formulae or expression, if both…
Q: What is dimensional homogeneity?
A: When the dimensions of each term on both sides in an equation are equal, the equation can be said…
Q: c) When small aerosol particles move through air or water, the Reynolds number is very small (Re <…
A: For solution refer below images.
Q: Famed inventor Carrie Barometer* has designed a new spherical sonar transducer for use in seawater.…
A: To determine: The number of π terms required in dimensional analysis. Given: The main variables are…
Q: Define the following: Entity. Parameter
A: Given:
Q: explains how the two methods of parameter estimation, namely the method of parameter estimation and…
A: given; explains how the two methods of parameter estimation, namely the method of parameter…
Q: The drag force Dp acting on a spherical particle that falls very slowly through a viscous fluid is a…
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- Two small vessels are connected to a U-tube manometercontaining mercury(relative density 13.56) and the connectingtubes are filled with alcohol (relative density 0.82). Thevessel at the higher pressure is 2 m lower in elevation than theother. What is the pressure difference between the vessels whenthe steady difference in level of themercury menisci is 225 mm?What is the difference of piezometric head? If an inverted U-tubemanometer containing a liquid of relative density 0.74 wereused instead, whatwould be the manometer reading for thesame pressure difference?To what height will 68˚F ethyl alcohol rise in a 0.005 in internal diameter glass capillary tube? The density of the alcohol is 49 lbm/ft3 note ? = 0.00156 ???/ ?? and ? = 0°.A tank of water 4 m deep receives a constant upwardacceleration a z . Determine ( a ) the gage pressure at the tankbottom if a z = 5 m 2 /s and ( b ) the value of a z that causes thegage pressure at the tank bottom to be 1 atm.
- A cylindrical disk ofwood weighing 45.0 N and having adiameter of 30.0 cm floats on a cylinderof oil of density 0.850 g /cm3(Fig.). The cylinder of oilis 75.0 cm deep and has a diameterthe same as that of the wood.(a) What is the gauge pressure at thetop of the oil column? (b) Supposenow that someone puts a weightof 83.0 N on top of the wood, butno oil seeps around the edge of thewood. What is the change in pressureat (i) the bottom of the oil and(ii) halfway down in the oil?Very small pressure differences p A -p B can be measuredaccurately by the two-fluid differential manometerin Fig. . Density ρ 2 is only slightly larger than thatof the upper fluid ρ 1 . Derive an expression for the proportionalitybetween h and p A - p B if the reservoirs arevery large.A Horizontal Capillary Tube (Radius 10 Um) Con- Tains An Oil/Water Interface. The Pressure In The Oil Phase Is 14.5 Psi (100 KPa). Determine The Pressure In The Water Phase If The Contact Angle Is 30° And The IFT Is 30 Dynes/Cm (30 MN/M).
- The gage pressure of air in a pressurized water tank is measured simultaneously by both a pressuregage and a manometer. The differential height h of the mercury column is to be determined. Assumptions The air pressure in the tank is uniform (i.e., its variation with elevation is negligible dueto its low density), and thus the pressure at the air-water interface is the same as the indicated gagepressure.Consider a hollow cube of side length 22 cm, fi lled completelywith water at 20 ° C. The top surface of the cube ishorizontal. One top corner, point A , is open through a smallhole to a pressure of 1 atm. Diagonally opposite to point Ais top corner B . Determine and discuss the various rigidbodyaccelerations for which the water at point B begins tocavitate, for ( a ) horizontal motion and ( b ) vertical motion.What is the pressure at the bottom of 0.5m height fluid if the container moves 5m/s2 upward? Fluid has a density of 2000kg/m3 a. 13665Pab. 13258Pac. 14810Pad. 16145Pa
- The cylindrical water tank in Fig. is being fi lled ata volume fl ow Q 1 = 1.0 gal/min, while the water alsodrains from a bottom hole of diameter d = 6 mm. At timet = 0, h = 0. Find and plot the variation h ( t ) and the eventualmaximum water depth h max . Assume that Bernoulli’ssteady-fl ow equation is valid.Q6: A hydraulic lift is to be used to lift a 2500 kg weight by putting a weight of 25 kg on a piston with a diameter of 10 cm. Determine the diameter of the piston on which the weight is to be placed.A 30-cm-diameter, 10-cm-high vertical cylindrical vessel equipped with a vertical tube at the edge is rotated about its vertical axis at a constant angular velocity of 15 rad/s. If the water rise in the tube is 30 cm, determine the net vertical pressure force acting on the vessel.