Problem 3The velocity field of a fluid particle is given by the expressionsи %3D (Ах + Вy)tv = (Cx + Dy)twhile the motion of the fluid particle is described on the table shown.Position (x, y) m(1, 1)(2, 1)v (m/s)-1.0Time (s)u (m/s)1.50.51.05.0-1.0Determine the acceleration (magnitude and direction) of the particle at t = 1.0 s.Hint: Solve for the constants A, B, C, and D in order to fully describe the velocity field.

Answered: Image /qna-images/answer/d49b2d53-33d0-4c04-b9b3-fdd9dc0b43a8.jpg

Problem 3 The velocity field of a fluid particle is given by the expressions и %3D (Ах + Ву)t v = (Cx + Dy)t while the motion of the fluid particle is described on the table shown. Time (s) 0.5 Position (x, y) m |(1, 1) (2, 1) u (m/s) 1.5 v (m/s) -1.0 1.0 5.0 -1.0 Determine the acceleration (magnitude and direction) of the particle at t= 1.0 s. Hint: Solve for the constants A, B, C, and D in order to fully describe the velocity field.

Problem 3 The velocity field of a fluid particle is given by the expressions и %3D (Ах + Ву)t v = (Cx + Dy)t while the motion of the fluid particle is described on the table shown. Time (s) 0.5 Position (x, y) m |(1, 1) (2, 1) u (m/s) 1.5 v (m/s) -1.0 1.0 5.0 -1.0 Determine the acceleration (magnitude and direction) of the particle at t= 1.0 s. Hint: Solve for the constants A, B, C, and D in order to fully describe the velocity field.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: Beth is studying a rotating flow in a wind tunnel. She measures the u and ? components of velocity…

A: Given position and velocity coordinates: Calculating r:

Q: Manning's equation can be used to compute the velocity of water in a rectangular open channel, U = 5…

A: roughness coefficient (n) channel slope (s) width (B) depth(H) velocity (U) in m/s…

Q: A velocity field is given as v = 2yi + 3xj where x and y are in metre. The acceleration of a fluid…

Q: 2Q. A flow field is defined by u = 2y, v=xy. Derive expressions for the x and y components…

Q: A steady, incompressible, two-dimensional velocity field is given by the following components in the…

A: Given: u = 1.85 + 2.05x +0.656y v = 0.754-2.18x-2.05y Required : Acceleration components And…

Q: The sports car travels along a straight road such that its position is described by the graph.…

A: Consider the figure,

Q: Problem The drag force Dp acting on a spherical particle that falls very slowly through a viscous…

A: As we know the drag force is a function of - 1] Diameter 2] Velocity 3] Density 4] viscosity…

Q: Determine the radial and transverse components of the force

A: Radial components of force is the force acting in the direction of radius vector and transverse…

Q: The acceleration components are ax=[ ay= !! ]y Acceleration components at (0, 2) are ax= ay=

Q: Problem 4: Kinetic Head no picture necessary Use the Rayleigh Method to show that velocity head is…

Q: Rather than the linear relationship that is obtained in the picture, derived the model if the upward…

A: I hope this helped you and you learned a lot :) If you have any questions or clarification, do not…

Q: The position coordinate of a particle which is confined to move along a straight line is given by s…

A: Determine (a) the time required for the particle to reach a velocity of 72 m/s from its initial…

Concept explainers

Pressurized pipe flow

A 15-kilometer-long pipe with a pipe diameter of one meter transports water at a speed of one meter per second. The pipe has a friction coefficient of 0.005. Calculate the frictional head loss?

Question

Problem 3
The velocity field of a fluid particle is given by the expressions
и %3D (Ах + Вy)t
v = (Cx + Dy)t
while the motion of the fluid particle is described on the table shown.
Position (x, y) m
(1, 1)
(2, 1)
v (m/s)
-1.0
Time (s)
u (m/s)
1.5
0.5
1.0
5.0
-1.0
Determine the acceleration (magnitude and direction) of the particle at t = 1.0 s.
Hint: Solve for the constants A, B, C, and D in order to fully describe the velocity field.

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

Step 2

Step 3

Step 4

Step by step

Solved in 4 steps with 4 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, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

3. The vertical motion of mass A is defined by the relation x =10 sin 2t +15cos2t +100, where x and t are expressed in mm and seconds, respectively. Determine (a) the position, velocity and acceleration of A when t = 1 s, (b) the maximum velocity and acceleration of A.
The tank of liquid in the figure accelerates to the right with the fluid in rigid body motion. Assume x = 44.1 cm and y = 106.5 cm Compute ax in m/s^2
This question is related to fluid mechanics
Problem: A cord is wrapped around a wheel which is initially at rest as shown. If a force is applied to the cord and gives it an acceleration a = (4t) m/s² , where t is in seconds determine as a function of time (a) the angular velocity of the wheel, (b) the angular position (0) of the line OP in radians. Express all answer in terms of t, that is in question (a) express w in terms of t and in (b) express e in terms of t. Hint: Solve first for a from a, r = D.2 m- P az = ar F
A particle in an experimental apparatus has a velocity given by v = k₁√√s, where v is in millimeters per second, the positions is millimeters, and the constant k = 0.22 mm ¹/2s¹. If the particle has a velocity vo = 5 mm/s at t = 0, determine the particle position, velocity, and acceleration as functions of time. To check your work, evalutate the time t, the positions, and the acceleration a of the particle when the velocity reaches 21 mm/s. Answers: t = S= i i a = i S mm mm/s²
In the diagram below, the magnitude of vector A is 19 N, and the magnitude of vector B is 13N and vector C is 10 N. Use the method of components to: a. calculate the magnitude of resultant vector; b. calculate the direction of resultant vector and represent the direction in degrees from the positive x axis. 500 45° 700 B
Water flows through an expansion pipe as illustrated in Figure 1. Q ((A) S 2 m v(s) (B) Figure 1: Schematic of water flowing through an expansion pipe. The velocity along streamline s is given by v = = 2t(3 s) m s-¹ where t is in seconds and s is in meters. Assuming viscous effects are negligible, (a) Derive an expression for change in velocity with respect to time. (b) Derive an expression for change in velocity with respect to space. (c) At the instant t = 2 seconds, if the pressure as point A is 20 kPa, determine the pressure gradient, d, needed to produce this flow via application of the Bernoulli equation. (d) What assumption in Bernoulli's equation is clearly violated in this example?
i=1 error in diagram,left is a pin, right is roller draw the shear and moment diagrams
1. The motion of a particle is defined by the relation x = t3 – 6t² + 9t + 5, where x is expressed in feet and t in seconds. Determine (a) when the velocity is zero, (b) the position, acceleration, and total distance traveled when t= 5 s.
01: Consider laminar flow over a flat plate. The boundary layer thickness o grows with distance x down the plate and is also a function of free-stream velocity U, fluid viscosity u, and fluid density p. Find the dimensionless parameters for this problem, being sure to rearrange if neessary to agree with the standard dimensionless groups in fluid mechanics. Answer: %3D
Suppose F(x, y) = (xy, -xy) models the velocity of a fluid. Which of the following describes the flow of the fluid at the point (1, 7)? Select the correct answer below: The amount of fluid flowing out is greater than the amount of fluid flowing in. The amount of fluid flowing in is greater than the amount of fluid flowing out. The amount of fluid flowing in is equal to the amount of fluid flowing out.
Example 2: The acceleration of a particle moving along a straight line is a = Vs m/s?, where s is in meters. If its position s = 0 and velocity v = 0 when t= 0, determine its velocity when s = 16 m. What time is that? ds V = dt dv ads = vdv dt