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: Can tutor explain C more clearly on the step as I do not see that formula before So far this the…

Q: [o] = 0 -30 25 -30 25 -40 -15 MPa -15 0 (2) a. Find the traction vector (force per unit area)…

Q: A ship is on a heading of 040° at 20 knots and a 2 knot current is flowing from 010°. Determine the…

A: Given: The direction of ship, α = 40° The direction of current, β = 10° The speed of ship, Vs = 20…

Q: The two components of the velocity vector are given as Vx = –ay/(x2+ y2)1/2 and Vy = ax/(x2+ y2)1/2…

Q: Diagonalize the following inertia tensor and find the princ kes.

Q: Evaluate the surface integral. /[(x + y + 2) ds, (x + y + z) ds, S is the parallelogram with…

A: Please refer to the detailed solution given below, Answer - Integral I = 405.96

Q: The fluid particles in a moving fluid follows a zig-zag way for turbulent flow. Select one: O True O…

A: Laminar flow: The progression of any liquid as liquid layers with no intermixing between layers is…

Q: Homework: calculate the resultant moment about point O for all the figures below. 100 N 1m -2 m 3 m…

A: A) Taking moment about O MO=100×2MO=200 NmAnd ∑Fx=0 and ∑Fy=0ROx=0 N and ROy=100 N B) Taking moment…

Q: Please do Q1 carefully.

A: Given data: The velocity is, v1=12 mph. The acceleration due to gravity is, g=32.2 ft/s2. The datum…

Q: (Compute) What is the scalar projection of force F, in units of lbs, along (or parallel to) position…

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: 1) In a flow of fluid, velocity field is given by u=-y, v=x, w=0. a) Find the orbitals. b) Obtain…

A: Streamline is the trajectory that the massless fluid particles make as they travel through the flow.…

Q: 5. A web page designer creates an animation in which a dot on a computer screen has position 7= [4.0…

A: Given-position of dot is given as To Find-The magnitude and direction of the dot's average velocity…

Q: Problem 2: Obtaining velocity components from streamlines The stream function for a particular flow…

Q: Calculate the applied force on the below object and show the exact location of the force. ▷ Each…

A: Given : The each unit is The value of g isThe free body diagram is,

Q: Consider the vector field F = (5x + 3y, 3x + 7y). Is this vector field Conservative? Conservative…

A: Conservation Vector field. Let's field an on open and simply connected region D. Then if P and Q…

Q: Let F( x, y) = { x 2 y, xy 2) be the velocity vector field for a fluid in the plane. Find all points…

A: The points where the angular velocity would be zero is calculated as follows:

Q: The continuity equation satisfied by u=x+2y,v-2x+y IO u=x/y,v%3y/x I O u=2x+y, v=x-2y.II O

A: Solution:

Q: During the analysis of fluid flow, we are more often interested in obtaining the average velocity,…

A: While obtaining the average velocity across the flow cross-section, the cross-sectional area is…

Q: Given a velocity field as V(x, y, z) = axî – ayĵ With units of velocity in m/sec; x and y in meters;…

A: as per our company policy ew have restricted to give the answer of only first 3 subparts so please…

Q: Derive the equation for x₁ and X2 for the system described in the figure using The circuit-based…

A: Given data is

Q: Water flowing with a velocity of V₁ in a pipe is turned to flow in the x- direction. What is the…

Q: ind the moment caused by the force about point A, resultant force, and x-bar (M, R, x). Dont forget…

A: According to the given data A loading beam is given We need to find moment caused by the force…

Q: 2) Show that y = A cos x + Bsin x, where A and B are constants, is a general solution of the…

Q: Q1//The straight line CD is defined by the following data: c=(4,8), D=(4,3) left of c. The distance…

A: Projection of line CD is drawn on a Grid paper. 1 Grid = 1 cm

Q: 1. What is the standard equation of the parabola y + 6x +4y – 2 = 0? A) (y+2)² = -6(x - 1) B) (y+2)?…

A: It is required to determine standard equation of parabola

Q: A vector is defined as V-4i+3j, what will be the magnitude of the vector? Oa 5 Ob. 3 Oc 7 Od 4 The…

Q: iestion#3(a): Find the gradient for the scalar function: f x,y = x -1'- y +2 ´ + : +3 , p: 1,3,6 .…

Q: Find the flow of the velocity field F = (7y2 +6) + (14xy)j along each of the following paths from…

A: Vector field F =It is asked to find the flow of velocity along the lines y = 3x and y = 3x2 from…

Q: A flow is uniform if the parameters describing the flow vary with distance along the flow path.…

A: To define : flow is uniform or not

Q: The given vector field is F=〈2x,3y〉 Sketch 2 flow lines with the equation of the flow lines

Q: A physical quantity which requires only magnitude for its complete description is known a

A: The physical quantities are generally divided into two categories viz. Scalars and Vectors. The…

Q: The scalar quantities are the quantities that have magnitude only O direction only O magnitude and…

A: Any physical quantity is broadly classified as either a vector or a scalar

Q: Line sources m1 and m2 are near point A, as in Fig. If m1= 30 m2/2, find the value of m2 for which…

A: Separate diagram for m1 and m2 . Value of V1 and V2 , V1=m15 m/sV1=305 m/sV1=6 m/sV2=m25 m/s

Q: True or False Please help asap Using conservation equation in fluid flow i. e. continuity…

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

3. Vector and Tensors Consider the following tensor: --() 3 2 -1 T = 2 1 1 4. and the vector, v = 5e,+3e, - 2e,. Determine the followings: T v; v T; Vv, and T : T
An omnidirectional robot is equipped with 3 Swedish wheels with radii r = r₂ = ₁ = r. The angle between X, and XR is 0. Suppose that robot's local reference frame, {R}, is aligned such that the robot moves forward along +XR. What is the velocity vector, ? Y₁ wo(t) Ꮎ v(t) X₁
Consider a hollow sphere of radii h and 3h, interior and exterior respectively. The mass density in the sphere is ρ = k / r, Kg / m³, where k is a constant, and r is the distance from the center of the sphere to an arbitrary point within it. If k = 3 m, find the gravitational field of the distribution at a point (P), on the x-axis, located at a distance of 4h, measured with respect to the center of the sphere. Ans: 5.655e-10
of tion A particle is subjected to two forces F₁ = -40i +65j -70k (N) and F₂ =80i +50j -60k (N) The magnitude of the resultant force is The magnitude of projection of force F2 along z-axis is The angle between F₁ and F₂ is 178.11 103.56 121.8 147.81 60 -60 -70 70 68.46 79.18 108.57 85.13
The magnitude of the moment produced by force F about segment AB of the pipe assembly is equal to F=(-20i +25j + 15k) N C 3m Select one O a -124 [Nm] Ob 88 Nm) Oc. 68 (Nm) 4 m B
Fluid Mechanics Assis.Professor Dr. Hasan Ali Jurmut HOMEWORK Q/A two-dimensional flow field has velocities along the x and y directions given by u = x2t and v = 2xyt, respectively, wheret is time. Determine the acceleration .If the time is(5 sec.) at point (3,5). Q/Consider steady, incompressible and flow through a reducer in a horizontal pipe where the diameter is reduced from 20 cm to 10 cm. The pressure in the 20 cm and 10cm is 150 and 50 kPa respectively. Compute the flow rate in m²/s. 2 150 kPa 50 kPa V, V, 10 cm 20 cm 20 cm II
The force F is in the direction along the line from point A to point B as shown. For a = 4 m, b = 2 m, c = 6 m, determine the y-component of the position vector, = xi + yj + zk.[m] (sign sensitive) TAB C b a 3 m 4 m
If n1 is an eigenvector for a strain tensor, show it is also a principal direction for the stress tensor
Let C be the planar curve given by r(t) = tî - t² ĵ for 0 ≤ t ≤ 1. Calculate the work done by a particle moving along this path through the vector field F(x, y) = eªî + xyj. 14
The fluid particles of water in the sea rotate about their own axis in a rotational fluid flow. Select one: True False
A 100 × 50 × 25mm steel block is subjected to a hydrostatic pressure of 5 MPa. The Young's modulus and Poisson's ratio of the material are 150GPa nd 0.2 respectively. The change in the volume of the block in mm³ is
Use the graph to match the integral for the volume with the axis of rotation. y= f(x) b. x= f(y) a (a? - (fy)l?) dy (a) V = Tt O (i) х-ахis O (ii) y-axis O (ii) X = a O (iv) y = b (b) V = n (b2 - [b – f(x)]²) dx O (i) x-axis O (ii) y-axis O (ii) x = a O (iv) y = b