Civil Engineering (CE) Exam > Civil Engineering (CE) Questions > The velocity field in a flow system is given ...
Start Learning for Free
The velocity field in a flow system is given by v = 2i + (x + y)j + (xyz)k. The acceleration of the fluid at (1, 1, 2) is
- a)j + k
- b)2i + 10 k
- c)4j + 10k
- d)4i + 12 k
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The velocity field in a flow system is given by v = 2i + (x + y)j + (x...
= 2 + (x + y) + (xyz)(0) + 0
= 2(yz) + (x + y)(xz) + (xyz)(xy) + 0
az = 2(1 × 2) + (1 + 1)(1 × 2) + (1 × 1 × 2) (1×1)
= 10k
Therefore,
Most Upvoted Answer
The velocity field in a flow system is given by v = 2i + (x + y)j + (x...
Given, velocity field, v = 2i(x y)j(xyz)k
The acceleration of the fluid can be found by taking the derivative of the velocity field with respect to time, t.
Acceleration, a = dv/dt
Since the velocity field is not a function of time, the acceleration can be found by taking the derivative of the velocity field with respect to position, x, y, and z.
Acceleration, a = (d/dt)[2i(x y)j(xyz)k]
= 2[(yj + xy∂j/∂x) + (xj + y∂j/∂y) + (yzk + xyz∂k/∂z)]
At (1, 1, 2),
a = 2[(j + ∂j/∂x) + (i + ∂j/∂y) + (2zk + 2∂k/∂z)]
= 2[j - k + 4k]
= 4j + 10k
Therefore, the correct option is (c) 4j + 10k.
The acceleration of the fluid can be found by taking the derivative of the velocity field with respect to time, t.
Acceleration, a = dv/dt
Since the velocity field is not a function of time, the acceleration can be found by taking the derivative of the velocity field with respect to position, x, y, and z.
Acceleration, a = (d/dt)[2i(x y)j(xyz)k]
= 2[(yj + xy∂j/∂x) + (xj + y∂j/∂y) + (yzk + xyz∂k/∂z)]
At (1, 1, 2),
a = 2[(j + ∂j/∂x) + (i + ∂j/∂y) + (2zk + 2∂k/∂z)]
= 2[j - k + 4k]
= 4j + 10k
Therefore, the correct option is (c) 4j + 10k.
|
Explore Courses for Civil Engineering (CE) exam
|
|
Similar Civil Engineering (CE) Doubts
Top Courses for Civil Engineering (CE)View all
The velocity field in a flow system is given by v = 2i + (x + y)j + (xyz)k. The acceleration of the fluid at (1, 1, 2) isa)j + kb)2i + 10 kc)4j + 10kd)4i + 12 kCorrect answer is option 'C'. Can you explain this answer?
Question Description
The velocity field in a flow system is given by v = 2i + (x + y)j + (xyz)k. The acceleration of the fluid at (1, 1, 2) isa)j + kb)2i + 10 kc)4j + 10kd)4i + 12 kCorrect answer is option 'C'. Can you explain this answer? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about The velocity field in a flow system is given by v = 2i + (x + y)j + (xyz)k. The acceleration of the fluid at (1, 1, 2) isa)j + kb)2i + 10 kc)4j + 10kd)4i + 12 kCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The velocity field in a flow system is given by v = 2i + (x + y)j + (xyz)k. The acceleration of the fluid at (1, 1, 2) isa)j + kb)2i + 10 kc)4j + 10kd)4i + 12 kCorrect answer is option 'C'. Can you explain this answer?.
The velocity field in a flow system is given by v = 2i + (x + y)j + (xyz)k. The acceleration of the fluid at (1, 1, 2) isa)j + kb)2i + 10 kc)4j + 10kd)4i + 12 kCorrect answer is option 'C'. Can you explain this answer? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about The velocity field in a flow system is given by v = 2i + (x + y)j + (xyz)k. The acceleration of the fluid at (1, 1, 2) isa)j + kb)2i + 10 kc)4j + 10kd)4i + 12 kCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The velocity field in a flow system is given by v = 2i + (x + y)j + (xyz)k. The acceleration of the fluid at (1, 1, 2) isa)j + kb)2i + 10 kc)4j + 10kd)4i + 12 kCorrect answer is option 'C'. Can you explain this answer?.
Solutions for The velocity field in a flow system is given by v = 2i + (x + y)j + (xyz)k. The acceleration of the fluid at (1, 1, 2) isa)j + kb)2i + 10 kc)4j + 10kd)4i + 12 kCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Civil Engineering (CE).
Download more important topics, notes, lectures and mock test series for Civil Engineering (CE) Exam by signing up for free.
Here you can find the meaning of The velocity field in a flow system is given by v = 2i + (x + y)j + (xyz)k. The acceleration of the fluid at (1, 1, 2) isa)j + kb)2i + 10 kc)4j + 10kd)4i + 12 kCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The velocity field in a flow system is given by v = 2i + (x + y)j + (xyz)k. The acceleration of the fluid at (1, 1, 2) isa)j + kb)2i + 10 kc)4j + 10kd)4i + 12 kCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for The velocity field in a flow system is given by v = 2i + (x + y)j + (xyz)k. The acceleration of the fluid at (1, 1, 2) isa)j + kb)2i + 10 kc)4j + 10kd)4i + 12 kCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of The velocity field in a flow system is given by v = 2i + (x + y)j + (xyz)k. The acceleration of the fluid at (1, 1, 2) isa)j + kb)2i + 10 kc)4j + 10kd)4i + 12 kCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The velocity field in a flow system is given by v = 2i + (x + y)j + (xyz)k. The acceleration of the fluid at (1, 1, 2) isa)j + kb)2i + 10 kc)4j + 10kd)4i + 12 kCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Civil Engineering (CE) tests.
|
|
Explore Courses for Civil Engineering (CE) exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup