0. A velocity vector is given as V = (xyzt)i -(xy2r²)}+0.5z²(x² – yr)k . Find he vector representing the applied differential force on a unit mass of the fluid ie., dF I dm ). Hint, dF I dm = (aV / dt) + (V¸dV /əx+V,aV l Əy +V¸aÑ /əz)]. %3!

0. A velocity vector is given as V = (xyzt)i -(xy2r²)}+0.5z²(x² – yr)k . Find he vector representing the applied differential force on a unit mass of the fluid ie., dF I dm ). Hint, dF I dm = (aV / dt) + (V¸dV /əx+V,aV l Əy +V¸aÑ /əz)]. %3!

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: Equation of Motion(NORMAL AND TANGENTIAL) Fn= Man Ft= Mat Given a 1400 kg car that travels along a r...

Q: The composite shaft consists of a mid-section that includes the 1-in.-diameter solid shaft and a tub...

Q: Two steel tubes are joined at B by four pins (d p =11mm), as shown in the cross section a–a in the f...

A: Given: d p =11mm tAB = 6.5 mm tBC = 7.5 mm In tension σY = 200 MPa σU =340 MPa To determine: the ...

Q: Q3. As shown in the image below, the freight cars A and Bare approaching each other, and they have a...

Q: A M

Q: A cantilever beam AB, loaded by a uniformload and a concentrated load (see figure), is constructedof...

A: calculate the maximum bending moment for the cantiliver beam which accours at aMmax=(250×5)+22.5×8×...

Q: The stepped shaft shown in the figure isrequired to transmit 600 kW of power at 400 rpm.The shaft ha...

A: Given: P=600 kW D1=100 mm Allowable stress=100 MPa TO determine: D2

Q: 1-down shelf opens up and is supported by a rope attached between points A and B. What is the tensio...

A: Given: weight of the shelf→w=57 lb So gravitational force applied on shelf→Fg=w×g=57×32.174=1833.91 ...

Q: Q3/ The three forces and the couple are applied to the bracket shown in Figure below. Determine (1) ...

Q: Q10. In the image below, the directions of the velocities of ball A and ball B before and after thei...

Q: Determine the magnitude of the resultant force and its direction measured counterclockwise from the ...

Q: The UST Eco Tigers are preparing for the Shell Eco Marathon Asia competition. The team is test drivi...

A: Distances and accelerations are calculated for all the intervals and then plotted.

Q: wood grains on the board shown below form an angle of 20° with the horizontal. using the circle of M...

A: Given data,axial load=250N

Q: m2 m he block on the inclined plane is 37 kg and the hanging mass is 22 kg The radius of the pulley ...

Q: b) Name the type of this system c) Name the device and specify what type of pressure measured d) Nam...

A: given; define the name of the system;

Q: A steel beam ABC is simply supported at Aand B and has an overhang BC of length L =150 mm(see figure...

A: Given: To determine: a) Disregarding the weight of the beam, the required width b of the rectangula...

Q: Two streams of moist air (A and B) mix at point C. If stream A provides 50% by massflow and stream B...

A: Given: The mass flow of the stream of moist air A, m1 = 50% The mass flow of the stream of moist air...

Q: What is the crossover point in miles between thehybrid vehicle in Problem S5.4 and this alternative ...

A: A vehicle that operates on alternative fuels rather than regular petroleum fuels is known as an ...

Q: A flat aluminum plate 8 m long and 1.5 m wide has a surface temperature of 180°C. For its cooling, a...

A: **According to the guidelines we can answer only one question at a time. Please repose the question ...

Q: pisto arra Sixty perc 15 kg ater are in the vapor phase. Steam at 1 MPa and 400°C is allowed to ente...

A: Total mass =15 kgmass in rotor phase=15×60100=9kgmass in water liquid state=6 kgat 200kPa saturation...

Q: Superheated steam at 90 bar, 625 °C (State 1) undergoes a 3-step process: (i.) First, it is throttle...

Q: In an ideal Rankine cycle, the steam throttle condition is 4.10 MPa and 440°C. If turbine exhaust is...

Q: What is the work of the compressor in KJ/kg?

A: Given: P2 = 90 bar=9000 kPa T2 = 625 oC P3 = P4 = 16 bar= 1600 kPa

Q: Q3/ The three forces and the couple are applied to the bracket shown in Figure below. Determine (1) ...

A: Given

Q: A Rankine cycle is executed with steam expanding initially from 20 MPaa and 100 deg SH. Condensation...

A: Given P = 20 MPa T1 = 100C P2 = 399.967 millibar vac Efficiency = 90% To find Equipment layout TS di...

Q: Block Pof mass 2 kg slides down the surface and has a speed 20 m/s at the lowest point, y where the ...

A: Answer: The normal force at Q is 420.00 N.

Q: A 2.5 kg copper block at 200 °C and 5 kg aluminum block at 20 °C come in thermal contact. Find the f...

Q: Q17. The 2.2-kg particle A has the velocity v = 3.0 m/s with direction shown in the image below. Det...

A: Given that, Mass of the ball, m=2.2 kg,Velocity of the ball, v= 3 m/sec,a=3.6 m, b=7.1 m, Write the...

Q: Q2/ For the force (F), the rectangular components are Fx = -40 N, and Fy = 60 N, respectively. Deter...

Q: A steel tube (k = 15 W/m.K) 3 m long carries a refrigerated liquid at 5°C. The inner diameter of the...

Q: In a certain non-concurrent force system, it is found that EX = -80lb, EY = +160lb, and E Mo = 480lb...

A: Given Data Fx=-80 lb Fy=160 lb Mo=480 lb.ft

Q: A modern cabin has a concrete floor that is 4.50 inches thick. A roaring fire keeps the interior of ...

Q: Magnetic tape is being transferred from reel A to reel B and passes around idler pulleys Cand D. At ...

Q: Find the work needed to isothermally compress 150 m3/min of air from 100 kPa to 500 kPa.

A: Given Data V1=150 m3/min P1=100 kPa P2=500 kPa

Q: Q4/ Using three different ways, compute the the moment of the force 40O N about O? 400 N k 100 mm 60...

Q: v (m/s) 10 t(s) 15 60 90

Q: A load P is supported by a structure consisting of rigid bar ABC, two identical solid bronze [E= 15,...

Q: Q4/ Using three different ways, compute the the moment of the force 400 N about O ?

A: According to the details provided in the question, we need to calculate moment about 0 due to force...

Q: Superheated steam at 90 bar, 625 °C (State 1) undergoes a 3-step process: (i.) First, it is throttle...

Q: Consider 4.7 kg of austenite containing 0.26 wt% C, cooled to below 727°C (1341'F). (a) What is the ...

A: Givenmass of austenite =4.7gcarbon =0.26%Ccooled to below 727oC 1341oF

Q: A diver is 249ft below the free surface of the sea. The barometric pressure is 14.60 14.7psia and SG...

Q: Q16. As shown in the image below, a baseball hits a fixed rigid wall at a speed of v1 = 30 ft/s at t...

Q: L . A heat generating slab with thermal conductivity of k [W/m-K] and heat generation rate d" [W/m³]...

Q: A flanged bolt coupling consists of ten 15-mm diameter bolts spaced evenly around a bolt circle 350 ...

Q: Which of the following are the functions of a volute casing in a centrifugal pump? (a) To collect wa...

A: It is required to choose correct answer

Q: In compression - ignition engines one of the methods to avoid detonation during compression, with it...

A: Compression engines or diesel engines do not possess spark plugs or other ignition mechanisms. They ...

Q: Suppose a particle is moving along the x-axis so that its position at time t is given by the formula...

Q: is represent the relationship between temperature and time O phase diagram O system O cooling curve ...

Q: A jet of water 95 mm diameter is moving with a velocity of 25 m/s, strikes a stationary plate. Find ...

A: A jet of water with a diameter of 95 mm and a velocity of 25 m/s collides with a stationary plate.Wh...

Concept explainers

Fluid Kinematics

The branch of science that deals with objects which are either in motion or stationary are studied under the branch of classical mechanics. Fluid mechanics is a subcategory of classical mechanics that deals with the behavior of fluids at rest (fluid statics) or in motion (posing some velocity). In fluid kinematics, studies focus on the associated motion of fluid particles or groups of particles, and its associated parameters like displacements, velocity, and acceleration without concerning about the forces that caused the motion. All the laws of classical mechanics are applied in the study of fluid kinematics.

Question

30. A velocity vector is given as V = (xyzt)ĩ – (xyzı²)} +0.5z²(xr² – yt)k . Find
the vector representing the applied differential force on a unit mass of the fluid
(i.e., dF I dm ).
[Hint, dF I dm = (aV / Ət) + (V¸ƏÑ / əx+V ‚ðv i əy +V¸dÑ /dz)].

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

The three components are as follows:u = 2xt– 3xyz + 6zv = x– yz + 4xytw = 3x– 5yzt + yzFind the velocity and acceleration of a fluid particle at (1, 0, 1) at time, t = N.
The two components of the velocity vector are given as Vx = –ay/(x2+ y2)1/2 and Vy = ax/(x2+ y2)1/2 where a is a constant in cm/s. Find the vorticity of a fluid element located at x = y = 1 cm. [Ans.: 1.41a k ].
True or False Please help asap Using conservation equation in fluid flow i. e. continuity equation, the set of velocity component below represent a possible incompressible flow: u = 3xy ; v = x3 - xy3
The velocity field of a flow has the following structure V (r, t) = kxi + kyj + (−kx + αt)k, where k, α are known constants, r = (x, y, z) the vector of position and t time. About this: Identify the components of the velocity field. Calculate the speed of the particles moving about the origin of the coordinate system, for every instant t
The velocity of flow of fluid is represented by the equation: V=2xi +3vj. The equation of the stream line passing through the point (4,3) is (A) 0.72x = 1,2 (B)¹ = 0.72x¹/² (C) 0.72x2=2 (D) None of these
11- The fluid particles move in a zig-zag way for a turbulent flow Select one: True False
TRUE OR FALSE: Using conservation equation in fluid flow i. e. continuity equation, the set of velocity component below represents a possible incompressible flow: u = 2x2-xy+z2 ; v = x2 - 4xy+ y2 ; w=2xy-yz+y2
The velocity field of a 2-D flow on x-y plane is u = -x + y, v=x+y, a) Determine if the flow is compressible. b) Determine if the flow is irrotational. c) Compute the acceleration field. (hint: acceleration is a vector) d) Determine the angular deformation rate of the x - y plane. e) Determine the normal strain rate of the x and y axes, respectively. f) If the flow is inviscid, determine if Bernoulli's equation is applicable to the entire flow field.
Determine the third velocity component v such that all the components satisfy the continuityequation. The two components are as follows:u = 2xt– 3xyz + 4xyw = 3x– 5yzt + yzAlso find the velocity and acceleration of a fluid particle at (1, 0, 1) at time, t = 1 please answer fassssst
In a system where the Froude model will be used, the flow rate for the prototype is given as 3 m3 / s. In the model, the velocity at point A is 0.2 m / s and the force acting on point A is calculated as 1 N. Calculate the flow rate and velocity of the point corresponding to point A in the model and the magnitude of the force affecting the same point. Determine the pressure scale. The geometric scale will be taken as 1/100. Fluids used in the model and prototype are the same and are water
A line drawn through the flow field in such a manner that the local velocity vector is tangent at every point along the line at that instant.A. Streamline C. Streakline B. Pathline D. Baseline
(a) State the equation describing the condition at streamline boundary for a two-dimensional flow with velocity V and displacement ds Using the equation, derive the equation of a streamline given by Eq. (4.1): ) (See attached images) (b) A steady, incompressible, two-dimensional velocity field is given by Eq. (4.2) : (see attached images) Where: the x- and y-coordinates are in metres and the magnitude of the velocity is in m/s. Calculate the material acceleration at the points of (x = 2, y= 3)