Determine whether the following equations are dimensionally homogeneous. h = gt? h represents a length, g is an acceleration, and t is a time. [h] = M^ L^ [gt°] = M LA
Q: Determine whether the following equations are dimensionally homogeneous. pl t = mf represents an…
A: Given: The expression is t=plmf. l is acceleration, p is pressure, m is weight, t is time, f is…
Q: Water is flowing in a pipe with radius of 25.4 cm at velocity of 5 m/s. The viscosity of water is…
A:
Q: * Which of the following is the unit of kinematic viscosity poise O stoke Faraday pascal O none of…
A:
Q: find an appropriate dimensionless
A:
Q: C1 (a). A lubricating oil having the dynamic viscosity of 0.052 poise and kinematic viscosity of…
A: Given Data: Dynamic viscosity=0.052 poise Kinematic viscosity=0.19 stokes
Q: Q2:A) An experimental text program is being set up to calibrate a new flow meter. The flow meter is…
A:
Q: In the quadratic equation which is homogeneous, a⋅x2+b⋅x+c=0a⋅x2+b⋅x+c=0 xx represents a time, cc…
A: Given data ax2+bx+c = 0 above equation is homogeneous c has the dimension of linear velocity i.e.…
Q: volumetric strain rate as the rate of increase of volume of a fluid element per unit volume. In…
A: The volumetric strain is written as The primary dimensions of each term are as follows:…
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: kc D = 0.023 [ H ][ dovp_]ja.8 p DAB DAB
A: Given problem of dimensional analysis can be solved as:
Q: What are the primary dimensions of the following parameters: Energy, E; Specific energy, energy per…
A:
Q: Determine whether the following equations are dimensionally homogeneous. 2plh? gt 3m p is a force, l…
A:
Q: The force in Newtons on a particle directed along the z-axis is given by F(x)=exp(-(x/5)+9) for x2 0…
A:
Q: QUESTION 1: DYNAMICS 1.1 Define the following terms: 1.1.1 1.1.2 Distance and give its Sl-unit…
A: “Since you have asked multiple question, we will solve the first question for you. If you want any…
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: Andrade's equation is a proposed model of the effect of temperature on viscosity written as, H =…
A: Given: The Andrade's equation is, μ=DeBT Here, μ is the dynamic viscosity of water and T is the…
Q: Fluid mechanics theory The power input P to a centrifugal pump is a function of the volume flow Q,…
A:
Q: Example: Give the primary dimensions ([T]: Time. [M]: Mass and [L]: Length) and one of suggested…
A:
Q: Find the dimensions of K, knowing that P: Pressure, V: volume and that the following equation is…
A: Find the dimensions of K, knowing that P: Pressure, V: volume and that the following equation is…
Q: Determine whether the following equations are dimensionally homogeneous. 2ph3 mh + 3t2 f : || f is a…
A: Given equation is f=2ph3l+mh3t2 Here, f is the force, h and l is the velocity, m is a mass, t is a…
Q: You have been moved into the laboratory for the fluid testing for hydraulic devices, where your job…
A: NO T(in'C') T(in'K') VISCOCITY (cP) 1 0 273 0.012790 2 10 283 0.010683 3 20 293 0.008923 4…
Q: Determine the dimension {MLTO} of the following quantities: ди (b) (a) pu- ах а?т (p – Po) dA (c)…
A: The variables present in the expressions are, p, ρ, A, cp, x, y, z, T, u, and t. Write the all the…
Q: The moment of force ( M-›) is formed by the cross product of a moment arm (r-›) and an applied force…
A: The Moment M is expressed as, M→=r→×F→ The dimension of the moment can be determined as,…
Q: MªL'T°Oª If the above-given dimension is belonging to "power", find the value of parameters a, b, c,…
A:
Q: 3. Andrade's equation is a proposed model of the effect of temperature on viscosity written as, H =…
A:
Q: The dimensional formula of specific volume is given by MT-1 a.true b.false
A: The given statement if false.
Q: If a certain liquid has viscosity 4.9 × 10¬³ N s/m² and kinematic viscosity 3.49 × 10' stokes, its…
A:
Q: Q2:A) An experimental text program is being set up to calibrate a new flow meter. The flow meter is…
A:
Q: Which term below describes a unique location in Euclidean space that has no dimensional attributes?…
A: we have to determine which term describes a location in Euclidian space that has no dimensional…
Q: 2. According to the definition in Sl unit system, when 1 Newton force is applied to 1 kg mass, it…
A: 2. According to the definition on SI system when 1 Newton force is applied to 1 kg mass it cause to…
Q: C1 (a). A lubricating oil having the dynamic viscosity of 0.056 poise and specific gravity of 1.17.…
A:
Q: Choose the correct statement for the following equation in out this is conservation of volume rate…
A: According to conservation of mass principal:- m˙ = ρ1A1V1 = ρ2A2V2 .....1
Q: Determine whether the following equations are dimensionally homogeneous. f = m· a +c•v+k• x f is a a…
A: Write the dimensions for all the terms given.
Q: nswer with a few sentences or provide a sketch. w a) In rectangular coordinates the unit vectors…
A: In a rectangular coordinate the unit vector may or may not changes with time. In case of fluid the…
Q: Q) When the patient is unconscious, the specialized doctor gives him nutrients through an…
A:
Q: Write the primary dimensions of each of the following variables, showing all your work: (a) specific…
A: (a) Specific heat at constant pressure, cp. We know that specific heat is energy per unit mass per…
Q: I Don't understand how to solve these. I have no idea how to set it up to get the dimension
A: given; ⇒acceleration a and the position co-ordinate x of a partical are related by…
Q: Q/ complete the dimensional formula and SI units for table. US SI. No Physical Quantity Dimensional…
A:
Q: The lift force F on a missile is a function of its length L ,velocity V , diameter D , angle of…
A: Dimensional analysis is the method of creating a relation between fundamental and derived units.…
Q: Determine whether the following equations are dimensionally homogeneous. | 2plh2 gt = 3m p is a…
A:
Q: Determine whether the following equations are dimensionally homogeneous. pl t = mf I represents an…
A: Write the given expression. t=plmf Write the dimensional unit of force. f=F1L1T-2 Write the…
Q: on the velocity (V), the density several lineor dimension, h, Lapressure drep qus A fluid flow…
A:
Q: The Stokes-Oseen formula for drag force on a sphere at low speed is given as D = 3dV +916V 2d2,…
A: (a) To find out the dimensions of the viscosity coefficient, Both the items on the right-hand side…
Q: "1.12 In a certain vibration problem the differential equation describing the motion of a particle…
A: The general vibration equation of forced damped system in case of 1-DOF system is given by:-…
Q: Check the following equation for dimensional homogeneity: mv = [₁² ( (Fcose) dt where m is mass, v…
A: Dimensions of each term are written separately and then combined. Mass : unit (kg) Velocity: unit…
Q: Q1/ complete the dimensional formula and Sl units for table. US SI. No Physical Quantity S.I Unit…
A:
Q: data Tube Area=7.854× 10-5 Air Temperature= 34 c water temperature=28 c the tube's diameter=10cm
A: Reynolds number : It is the ratio of inertial forces to viscous forces within a fluid which is…
Q: The equation for drag force is given by: 1 = drag force Cp = drag coefficient p = density A = cross…
A:
Please do this carefully.
![Determine whether the following equations are dimensionally homogeneous.
h = gt?
h represents a length, g is an acceleration, and t is a time.
[h] = M^
L^
[gt°] = M
LA](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc182e599-5dc6-4a45-9882-7fbf1677e7b9%2F2b953f42-a35f-4bda-bf36-c1be6f0b750b%2Fwozr4oa_processed.png&w=3840&q=75)
Step by step
Solved in 2 steps with 2 images
- If the given Pi is 3.14159 Capillary tube: radius = 0.02 cm; length = 9 cm; pressure = 0.7 mmHg Liquid sample: density = 4 ml; time of flow = 4.5 seconds What is the pressure in MKS unit and CGS unit? What is its viscosity? If the weight is 8.5 g, what is its density? What is its kinematic viscosity? What is its fluidity?The sketch shows an oil manometer that is connected between two pipes which transport water. The density of water can be taken as 998kg/m3, the specific gravity of glycerol is 0.76 and atmospheric pressure is 100 kPa. The respective dimensions (as shown on the sketch) are given below: h1 = 0.17 m h2 = 350 mm h3 =15cm. If the pressure gauge gives a reading of 19 kPa, what is the absolute pressure in pipe B?Please find the Grashof classification and the Barker classification of the two four-bars: (NOTE: distances are in non-dimensional units. Can use inches or cm) P1) L1=d=4, theta1=0 degrees, L2=a=1.6, theta2=60 degrees, L3=b=5.5, L4=c=4.5 P1) L1=d=2.5, theta1=0 degrees, L2=a=2, theta2=45 degrees, L3=b=1.5, L4=c=1.5 Please also draw the four-bars to estimate the unknown angles theta3 and theta4.
- #01: Explain the following terms in your own words. a) Aerodynamics. b) Mach Number. c) Sub-Sonic. d) Angle of Attack. e) Thrust. f) Chord Line. g) Drag Coefficient. h) Pitch Moment. i) Wind Tunnel. j) Skin Drag.Write the primary dimensions of each of the following variables, showing all your work: (a) specific heat at constant pressure cp; (b) specific weight ? g; (c) specific enthalpy h.Fluid mechanics theory The power input P to a centrifugal pump is a function of the volume flow Q, impeller diameter D, rotational rate ω, and the density ρ and viscosity μ of the fluid. Determine the three dimensionless numbers. Use M, L, T as your primary dimensions and ω, ρ and D as repeatingvariables.
- volumetric strain rate as the rate of increase of volume of a fluid element per unit volume. In Cartesian coordinates we write the volumetric strain rate as 1/ V DV/Dt = ∂u/∂x + ∂?/∂y + ∂w/∂zWrite the primary dimensions of each additive term, and verify that the equation is dimensionally homogeneous. Show all your work.Consider the following equation. All three of the terms in parentheses are dimensionless groups. Because kC is difficult to determine directly, the other variables are measured and kC is calculated from the given equation. What is the estimated value of kC? What are the units of kC? Show your work. The following values were measured: D = 8.0 mm, DAB = 0.475 cm2/s, μ = 1.12 x 10–3 N-s/m2, ρ = 1.00 x 10–3 g/cm3, v = 15.0 m/s. Note: Given Equation attached below1. A lead cube has a total mass of 64 kg. What is the Length of its side in cm? specific gravity of lead = 7.27. 2. If the viscosity of water at 70 degrees celsius is 0.0077 poise and its specific gravity is 0.453, determine its kinematic viscosity in stokes.
- 1. A NASA Learjet has a section of one wing instrumented with devices capable of measuring temperature and pressure at discrete points on the wing. If at one of these points, the instruments measure pressure = 10 psi and temperature = -20°F, what is the density of the air at that point?The lift force F on a missile is a function of its length L ,velocity V , diameter D , angle of attack α , density ρ , viscosityμ , and speed of sound a of the air. Write out the dimensionalmatrix of this function and determine its rank. Rewrite thefunction in terms of pi groups.The sketch shows an oil manometer that is connected between two pipes which transport water. The density of water can be taken as 998kg/m3, the specific gravity of glycerol is 0.76 and atmospheric pressure is 100 kPa. The respective dimensions (as shown on the sketch) are given below: h1 = 0.17 m h2 = 350 mm h3 =15cm. From the given data, calculate the pressure difference between the two pipes.