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Mechanical Engineering Exam  >  Mechanical Engineering Tests  >  Fluid Mechanics for Mechanical Engineering  >  Test: Velocity & Acceleration - Mechanical Engineering MCQ

Test: Velocity & Acceleration - Mechanical Engineering MCQ


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10 Questions MCQ Test Fluid Mechanics for Mechanical Engineering - Test: Velocity & Acceleration

Test: Velocity & Acceleration for Mechanical Engineering 2024 is part of Fluid Mechanics for Mechanical Engineering preparation. The Test: Velocity & Acceleration questions and answers have been prepared according to the Mechanical Engineering exam syllabus.The Test: Velocity & Acceleration MCQs are made for Mechanical Engineering 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Velocity & Acceleration below.
Solutions of Test: Velocity & Acceleration questions in English are available as part of our Fluid Mechanics for Mechanical Engineering for Mechanical Engineering & Test: Velocity & Acceleration solutions in Hindi for Fluid Mechanics for Mechanical Engineering course. Download more important topics, notes, lectures and mock test series for Mechanical Engineering Exam by signing up for free. Attempt Test: Velocity & Acceleration | 10 questions in 20 minutes | Mock test for Mechanical Engineering preparation | Free important questions MCQ to study Fluid Mechanics for Mechanical Engineering for Mechanical Engineering Exam | Download free PDF with solutions
Test: Velocity & Acceleration - Question 1
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The velocity vector in a fluid is given V=5x4+3y2+2z( in metre/sec). What is the acceleration of it at point (1,3,4) ? 

Detailed Solution for Test: Velocity & Acceleration - Question 1

Explanation: By differentiating V=5x42+2z, the acceleration obtained is V=20x3+6y+2.
on putting the coordinates, the acceleration obtained is 40 m/s2.

Test: Velocity & Acceleration - Question 2
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Determine the third velocity component such that continuity equation is satisfied if two components are u=2y2, w=2xyz. 

Detailed Solution for Test: Velocity & Acceleration - Question 2

Explanation: The continuity equation for incompressible is du/dx+dv/dy+dw/dz = 0.
Here du/dx=0 and w=2xy.
On solving by integrating, we get v = -4xy-x2y+f(y,z).

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Test: Velocity & Acceleration - Question 3
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Determine the third velocity component such that continuity equation is satisfied if two components are u=x2+y2+z2, v=xy2 – yz2 + xy 

Detailed Solution for Test: Velocity & Acceleration - Question 3

Explanation: The continuity equation for incompressible is du/dx+dv/dy+dw/dz = 0.
Here du/dx=2x and v=2xy-z2
On solving by integrating, we get w = -3xz-2xyz+z3/3+f(x,y),

Test: Velocity & Acceleration - Question 4
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A fluid flow field is given by
V=x2yi+y2z-(2xyz+yz)k
Calculate it’s acceleration at the point (1,3,5)
Detailed Solution for Test: Velocity & Acceleration - Question 4

Explanation: First we have to check whether it satisfies the continuity equation,
The continuity equation for incompressible is du/dx+dv/dy+dw/dz = 0.
(here d/dx, d/dy, d/z represent partial derivative)
The given equation doesn’t satisfy the continuity equation.

Test: Velocity & Acceleration - Question 5
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A fluid flow field is given by
V=y2xi+z2x-(2xyz+yz)k
Calculate it’s acceleration at the point (2,4,4)
Detailed Solution for Test: Velocity & Acceleration - Question 5

Explanation: First we have to check whether it satisfies the continuity equation,
The continuity equation for incompressible is du/dx+dv/dy+dw/dz = 0.
(here d/dx, d/dy, d/z represent partial derivative)
The given equation doesn’t satisfy the continuity equation.

Test: Velocity & Acceleration - Question 6
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Convective acceleration cannot be found if the fluid flow equation is not satisfying the continuity equation but local acceleration can be found.
Detailed Solution for Test: Velocity & Acceleration - Question 6

Explanation: Convective acceleration and local acceleration cannot be found if the fluid flow equation is not satisfying the continuity equation.

Test: Velocity & Acceleration - Question 7
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 Local acceleration has constant value for a steady flow.
Detailed Solution for Test: Velocity & Acceleration - Question 7

Explanation: Local acceleration is zero for a steady flow.

Test: Velocity & Acceleration - Question 8
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 Total acceleration has the same value as convective acceleration in case of unsteady flow.
Detailed Solution for Test: Velocity & Acceleration - Question 8

Explanation: Total acceleration has the same value as convective acceleration in case of steady flow as local acceleration value becomes zero.

Test: Velocity & Acceleration - Question 9
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Which equation must be perfunctorily satisfied while dealing with fluid flow problems?
Detailed Solution for Test: Velocity & Acceleration - Question 9

Explanation: Continuity equation must be perfunctorily satisfied while dealing with fluid flow problems.

Test: Velocity & Acceleration - Question 10
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Convective acceleration is defined as the rate of change of velocity due to change of velocity with respect to time. 
Detailed Solution for Test: Velocity & Acceleration - Question 10

Explanation: Convective acceleration is defined as the rate of change of velocity due to change of position of fluid particles.

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