Civil Engineering (CE) Exam > Civil Engineering (CE) Questions > A flat plate 0.1 m2 area is pulled at 30 cm/s...
Start Learning for Free
A flat plate 0.1 m2 area is pulled at 30 cm/s relative to another plate located at a distance of 0.01 cm from it, the fluid separating them being water with viscosity of 0.001 Ns/m2. The power required to maintain velocity will be?
Most Upvoted Answer
A flat plate 0.1 m2 area is pulled at 30 cm/s relative to another plat...
Calculation of Power Required to Maintain Velocity
Given parameters:
- Area of the plate (A) = 0.1 m^2
- Velocity of the plate (v) = 30 cm/s = 0.3 m/s
- Distance between the plates (d) = 0.01 cm = 0.0001 m
- Viscosity of the fluid (μ) = 0.001 Ns/m^2
Formula used:
- Shear stress (τ) = μ(dv/dy)
- Power (P) = τAv
Explanation:
- The shear stress is the force per unit area that acts tangentially to the surface of the plate due to viscosity.
- The shear stress is proportional to the velocity gradient (dv/dy) and the viscosity (μ).
- As the distance between the plates is very small, the velocity gradient can be assumed to be constant.
- The power required to maintain the velocity is the product of shear stress, area, and velocity.
Calculation steps:
- Velocity gradient (dv/dy) = v/d = 0.3/0.0001 = 3000 s^-1
- Shear stress (τ) = μ(dv/dy) = 0.001 x 3000 = 3 N/m^2
- Power (P) = τAv = 3 x 0.1 x 0.3 = 0.09 W
Therefore, the power required to maintain the velocity is 0.09 W.
Given parameters:
- Area of the plate (A) = 0.1 m^2
- Velocity of the plate (v) = 30 cm/s = 0.3 m/s
- Distance between the plates (d) = 0.01 cm = 0.0001 m
- Viscosity of the fluid (μ) = 0.001 Ns/m^2
Formula used:
- Shear stress (τ) = μ(dv/dy)
- Power (P) = τAv
Explanation:
- The shear stress is the force per unit area that acts tangentially to the surface of the plate due to viscosity.
- The shear stress is proportional to the velocity gradient (dv/dy) and the viscosity (μ).
- As the distance between the plates is very small, the velocity gradient can be assumed to be constant.
- The power required to maintain the velocity is the product of shear stress, area, and velocity.
Calculation steps:
- Velocity gradient (dv/dy) = v/d = 0.3/0.0001 = 3000 s^-1
- Shear stress (τ) = μ(dv/dy) = 0.001 x 3000 = 3 N/m^2
- Power (P) = τAv = 3 x 0.1 x 0.3 = 0.09 W
Therefore, the power required to maintain the velocity is 0.09 W.
Attention Civil Engineering (CE) Students!
To make sure you are not studying endlessly, EduRev has designed Civil Engineering (CE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Civil Engineering (CE).
|
Explore Courses for Civil Engineering (CE) exam
|
|
Similar Civil Engineering (CE) Doubts
Top Courses for Civil Engineering (CE)View all
A flat plate 0.1 m2 area is pulled at 30 cm/s relative to another plate located at a distance of 0.01 cm from it, the fluid separating them being water with viscosity of 0.001 Ns/m2. The power required to maintain velocity will be?
Question Description
A flat plate 0.1 m2 area is pulled at 30 cm/s relative to another plate located at a distance of 0.01 cm from it, the fluid separating them being water with viscosity of 0.001 Ns/m2. The power required to maintain velocity will be? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A flat plate 0.1 m2 area is pulled at 30 cm/s relative to another plate located at a distance of 0.01 cm from it, the fluid separating them being water with viscosity of 0.001 Ns/m2. The power required to maintain velocity will be? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A flat plate 0.1 m2 area is pulled at 30 cm/s relative to another plate located at a distance of 0.01 cm from it, the fluid separating them being water with viscosity of 0.001 Ns/m2. The power required to maintain velocity will be?.
A flat plate 0.1 m2 area is pulled at 30 cm/s relative to another plate located at a distance of 0.01 cm from it, the fluid separating them being water with viscosity of 0.001 Ns/m2. The power required to maintain velocity will be? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A flat plate 0.1 m2 area is pulled at 30 cm/s relative to another plate located at a distance of 0.01 cm from it, the fluid separating them being water with viscosity of 0.001 Ns/m2. The power required to maintain velocity will be? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A flat plate 0.1 m2 area is pulled at 30 cm/s relative to another plate located at a distance of 0.01 cm from it, the fluid separating them being water with viscosity of 0.001 Ns/m2. The power required to maintain velocity will be?.
Solutions for A flat plate 0.1 m2 area is pulled at 30 cm/s relative to another plate located at a distance of 0.01 cm from it, the fluid separating them being water with viscosity of 0.001 Ns/m2. The power required to maintain velocity will be? 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 A flat plate 0.1 m2 area is pulled at 30 cm/s relative to another plate located at a distance of 0.01 cm from it, the fluid separating them being water with viscosity of 0.001 Ns/m2. The power required to maintain velocity will be? defined & explained in the simplest way possible. Besides giving the explanation of
A flat plate 0.1 m2 area is pulled at 30 cm/s relative to another plate located at a distance of 0.01 cm from it, the fluid separating them being water with viscosity of 0.001 Ns/m2. The power required to maintain velocity will be?, a detailed solution for A flat plate 0.1 m2 area is pulled at 30 cm/s relative to another plate located at a distance of 0.01 cm from it, the fluid separating them being water with viscosity of 0.001 Ns/m2. The power required to maintain velocity will be? has been provided alongside types of A flat plate 0.1 m2 area is pulled at 30 cm/s relative to another plate located at a distance of 0.01 cm from it, the fluid separating them being water with viscosity of 0.001 Ns/m2. The power required to maintain velocity will be? theory, EduRev gives you an
ample number of questions to practice A flat plate 0.1 m2 area is pulled at 30 cm/s relative to another plate located at a distance of 0.01 cm from it, the fluid separating them being water with viscosity of 0.001 Ns/m2. The power required to maintain velocity will be? tests, examples and also practice Civil Engineering (CE) tests.
|
|
Explore Courses for Civil Engineering (CE) exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup