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

Test: Velocity & Acceleration - Mechanical Engineering MCQ


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10 Questions MCQ Test - Test: Velocity & Acceleration

Test: Velocity & Acceleration for Mechanical Engineering 2024 is part of 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 course for Mechanical Engineering & Test: Velocity & Acceleration solutions in Hindi 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 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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Velocity & Acceleration MCQs with Answers

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