Civil Engineering (CE) Exam > Civil Engineering (CE) Questions > A rectangular tank is moving horizontally in ...
Start Learning for Free
A rectangular tank is moving horizontally in the direction of its length with a constant acceleration of 3.6 m/s2. If tank is open at the top then calculate the angle of water surface to the horizontal.
- a)20.15
- b)69.84
- c)40.30
- d)None of the mentioned
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A rectangular tank is moving horizontally in the direction of its leng...
Explanation: tanθ=a/g
tanθ=3.6/9.8
θ=20.15⁰.
tanθ=3.6/9.8
θ=20.15⁰.
Most Upvoted Answer
A rectangular tank is moving horizontally in the direction of its leng...
To determine the angle of the water surface in the tank, we need to consider the forces acting on the water. Since the tank is open at the top, the water surface will be parallel to the horizontal plane. Let's analyze the forces acting on the water in the tank:
1. Gravitational force (Weight):
The weight of the water acts vertically downward and can be calculated using the formula:
Weight = mass × acceleration due to gravity
2. Buoyant force:
The buoyant force acts vertically upward and is equal to the weight of the water displaced by the tank.
3. Inertial force:
As the tank accelerates horizontally, an inertial force acts on the water in the opposite direction. This force is equal to the mass of the water multiplied by the acceleration of the tank.
Since the tank is open at the top, the water surface will be parallel to the horizontal plane. Therefore, the forces acting in the vertical direction (gravitational force and buoyant force) will balance each other. This means that the water will not overflow from the tank.
Now let's calculate the angle of the water surface to the horizontal:
1. Determine the acceleration of the water:
Since the tank is accelerating horizontally with a constant acceleration of 3.6 m/s^2, the water inside the tank will also experience the same acceleration.
2. Calculate the angle of the water surface:
The angle of the water surface to the horizontal can be calculated using the formula:
θ = arctan(acceleration of the water / acceleration due to gravity)
Substituting the values, we get:
θ = arctan(3.6 / 9.8) ≈ 20.15 degrees
Therefore, the angle of the water surface to the horizontal is approximately 20.15 degrees. Hence, option A is the correct answer.
1. Gravitational force (Weight):
The weight of the water acts vertically downward and can be calculated using the formula:
Weight = mass × acceleration due to gravity
2. Buoyant force:
The buoyant force acts vertically upward and is equal to the weight of the water displaced by the tank.
3. Inertial force:
As the tank accelerates horizontally, an inertial force acts on the water in the opposite direction. This force is equal to the mass of the water multiplied by the acceleration of the tank.
Since the tank is open at the top, the water surface will be parallel to the horizontal plane. Therefore, the forces acting in the vertical direction (gravitational force and buoyant force) will balance each other. This means that the water will not overflow from the tank.
Now let's calculate the angle of the water surface to the horizontal:
1. Determine the acceleration of the water:
Since the tank is accelerating horizontally with a constant acceleration of 3.6 m/s^2, the water inside the tank will also experience the same acceleration.
2. Calculate the angle of the water surface:
The angle of the water surface to the horizontal can be calculated using the formula:
θ = arctan(acceleration of the water / acceleration due to gravity)
Substituting the values, we get:
θ = arctan(3.6 / 9.8) ≈ 20.15 degrees
Therefore, the angle of the water surface to the horizontal is approximately 20.15 degrees. Hence, option A is the correct answer.
|
Explore Courses for Civil Engineering (CE) exam
|
|
Similar Civil Engineering (CE) Doubts
Top Courses for Civil Engineering (CE)View all
A rectangular tank is moving horizontally in the direction of its length with a constant acceleration of 3.6 m/s2. If tank is open at the top then calculate the angle of water surface to the horizontal.a)20.15b)69.84c)40.30d)None of the mentionedCorrect answer is option 'A'. Can you explain this answer?
Question Description
A rectangular tank is moving horizontally in the direction of its length with a constant acceleration of 3.6 m/s2. If tank is open at the top then calculate the angle of water surface to the horizontal.a)20.15b)69.84c)40.30d)None of the mentionedCorrect answer is option 'A'. 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 A rectangular tank is moving horizontally in the direction of its length with a constant acceleration of 3.6 m/s2. If tank is open at the top then calculate the angle of water surface to the horizontal.a)20.15b)69.84c)40.30d)None of the mentionedCorrect answer is option 'A'. 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 A rectangular tank is moving horizontally in the direction of its length with a constant acceleration of 3.6 m/s2. If tank is open at the top then calculate the angle of water surface to the horizontal.a)20.15b)69.84c)40.30d)None of the mentionedCorrect answer is option 'A'. Can you explain this answer?.
A rectangular tank is moving horizontally in the direction of its length with a constant acceleration of 3.6 m/s2. If tank is open at the top then calculate the angle of water surface to the horizontal.a)20.15b)69.84c)40.30d)None of the mentionedCorrect answer is option 'A'. 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 A rectangular tank is moving horizontally in the direction of its length with a constant acceleration of 3.6 m/s2. If tank is open at the top then calculate the angle of water surface to the horizontal.a)20.15b)69.84c)40.30d)None of the mentionedCorrect answer is option 'A'. 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 A rectangular tank is moving horizontally in the direction of its length with a constant acceleration of 3.6 m/s2. If tank is open at the top then calculate the angle of water surface to the horizontal.a)20.15b)69.84c)40.30d)None of the mentionedCorrect answer is option 'A'. Can you explain this answer?.
Solutions for A rectangular tank is moving horizontally in the direction of its length with a constant acceleration of 3.6 m/s2. If tank is open at the top then calculate the angle of water surface to the horizontal.a)20.15b)69.84c)40.30d)None of the mentionedCorrect answer is option 'A'. 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 A rectangular tank is moving horizontally in the direction of its length with a constant acceleration of 3.6 m/s2. If tank is open at the top then calculate the angle of water surface to the horizontal.a)20.15b)69.84c)40.30d)None of the mentionedCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A rectangular tank is moving horizontally in the direction of its length with a constant acceleration of 3.6 m/s2. If tank is open at the top then calculate the angle of water surface to the horizontal.a)20.15b)69.84c)40.30d)None of the mentionedCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for A rectangular tank is moving horizontally in the direction of its length with a constant acceleration of 3.6 m/s2. If tank is open at the top then calculate the angle of water surface to the horizontal.a)20.15b)69.84c)40.30d)None of the mentionedCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of A rectangular tank is moving horizontally in the direction of its length with a constant acceleration of 3.6 m/s2. If tank is open at the top then calculate the angle of water surface to the horizontal.a)20.15b)69.84c)40.30d)None of the mentionedCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A rectangular tank is moving horizontally in the direction of its length with a constant acceleration of 3.6 m/s2. If tank is open at the top then calculate the angle of water surface to the horizontal.a)20.15b)69.84c)40.30d)None of the mentionedCorrect answer is option 'A'. 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