The force, F, acting on a billboard due to wind depends on it length, l, height, h, the modulus of elasticity of the board, E, and the specific weight, γa, of the air. Using dimensional analysis, find an appropriate dimensionless relationship.

Q: Liquid in a tank is being drained through a pipe at tank bottom. The time it takes to drain the…

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Q: 'he side thrust F, for a sme -all diameter D, the free-s- nd the angular velocity of Jsing the…

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Q: The Power (P) required to drive the pump depends upon the diameter (D), the angular velocity (@),…

A: Total variable =P,D,ω,Q,ρ P= f(D,ω,Q,ρ) where P is a dependent variable

Q: 17. The moment of viscous liquid between two cylinder depend on angular velocity o of internal…

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Q: Liquid flows horizontally through a circular tube filled with sand grains that are spherical and of…

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Q: An impeller (axial-flow turbine propeller) in an agitated tank has an output torque (T) whose…

A: Given data Output Torque (T) depends on Volumetric Flow rate(Q), density ( ρ ) rotor diameter (D)…

Q: work on the dimensional analysis of the listed derived properties converting from MLT to FLT…

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Q: Example: The pressure difference (Ap) between two point in a pipe due to turbulent flow depends on…

A: ∆P=fV, D, μ, ρ ,e, L

Q: A block of wood (SG = 0.6) floats in fluid X such that 75 percent of its volume is submerged in…

A: Given data: SG=0.6 Need to determine the vacuum pressure of the air in the tank.

Q: The equation, given below, is describing the motion of the fluid in a pipe. The driving force of the…

A: To solve this problem, we need to apply the process of nondimensionalization to the given equation.…

Q: 3: Using dimensional analysis and showing all work, convert the following: (a) 248 pounds to newtons…

A: a)   Given             Pounds = 248 Solution            1 Pound = 4.4482 N Therefore,      248…

Q: The radius R of a mushroom cloud generated by a nuclear bomb grows in time. We expect that R is a…

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Q: Let us model a certain cargo ship as a rectangular prism with length (100 m) and width (20 m). Also,…

A: We have to find  1.boat weight    2.how far below the waterline will the bottom of the boat be?

Q: quation and show how units are equivalent: v = _/ N / (kg/m)

A: the solution of above problem is below

Q: 3. The radius R of a mushroom cloud generated by a nuclear bomb grows in time. We expect that R is a…

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Q: 1. The thrust of a marine propeller Fr depends on water density p, propeller diameter D, speed of…

A: 1.2.

Q: P1.20 A baseball, with m = 145 g, is thrown directly upward from the initial position z = 0 and V =…

A: For this problem,  The weight of the ball, for upward direction motion ∑Fz=-maz-CV2-mg=mdvdt…

Q: The flow rate in a rectangular open channel can be measured by placing a plate along the channel as…

A: Given Data: The width of the channel is b. The height of the water is H. According to the given…

Q: using pure water at 20°C. The velocity of the prototype in seawater (p = | A 1/18 scale model of the…

A: given; ratio of model to prototype diameter  D1D2=118at temperature(T)=200cprototype density of…

Q: Power generated by a propeller operating in the air (P); it depends on the mass density of the air…

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Q: Required information The speed of propagation C of a capillary (very small) wave in deep water is…

A: To Find : The proper functional relationship, completing it with a dimensionless constant. Given :…

Q: A model propeller of diameter D = 0.8 m is tested in a wind tunnel at pressure and temperature…

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Q: Q2-A model of supersonic jet fighter is to be tested in wind tunnel for dynamic similarity. a- If…

A: As per the guidelines, Q2 (including all subsections) is answered. Please request a separate lesson…

Q: (a) Show that the Weber number is dimensionless: V √o/pl Where is the surface tension, V velocity, p…

A: When examining fluid flows when there is an interface between two distinct fluids, the Weber Number…

Q: The power P generated by a certain windmill design depends upon its diameter D, the air density p,…

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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: In an experimental investigation, it is found that the discharge of oil through a pipeline relates…

A: Given Data Q=f(P,r,ρ,μ) f(Q,P,r,ρ,μ)=0 Hence, total no. of variables, n = 5 m=3 n-m=5-3=2 Pi terms…

Q: The pressure outside the droplet of water of diameter 0.04 mm is 103.2 kPa (atmospheric pressure).…

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Q: f(h,p,D,V, µ, Cp, k) k = thermal conductivity (W/m°C) h = convective heat transfer coefficient…

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Q: The frictional pressure drop p for a fluid of density p and viscosity p flowing with a velocity V…

A: Dimensional analysis is a method of reducing the number of relevant variables in a physical problem…

Q: The drag force FD acting on a ship depends on the forward speed V , the fluid density ρ and…

A: Solution : Drag force , Fd=MLT-2speed , v = LT-1Density, ρ = ML-3viscosity,μ = ML-1T1gravity , g =…

Q: Q3: The power output (P) of a marine current turbine is assumed to be a function of velocity U,…

A: Given that  The power output (P) of a marine current turbine is assumed to be a function of velocity…

Q: The period of a pendulum T is assumed to depend only on the mass m, the length of the pendulum `,…

A: The given variables are: Dimensional units for the different variables are:

Q: problem: A ship of (120 m) long moves through a fresh water (p = 1000 Kg/m³, µ = 1.14*103 Pa.s) at a…

A: For complete dynamic similarity, the Reynolds number and Froude number are matched. The Reynolds…

Q: Derive an expression for the shear stress at the pipe wall when an incompressible fluid flows…

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Q: Task 1 (d) The force, F, of a turbine generator is a function of density p, area A and velocity v.…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: The time t d to drain a liquid from a hole in the bottom of atank is a function of the hole…

A: Given data td=drain timed=hole diameteryo=initial fluid vol.ho=Liquid depthρ=density of…

Q: 5. Use dimensional analysis to estimate quantities. Consider a gas with density p, pressure p, and…

A: Consider the function of velocity in terms of independent properties.From the independent variables,…

Q: The drag FD of the golf ball is affected by the speed V of the ball, the diameter d of the ball, the…

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Q: Q2 :-If the velocity of flow over surface v, Surface tension o, density of flowp length of surface…

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