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An open cubical tank of 2 m side is filled with water. If the tank is accelerated horizontally with an acceleration such that half of the water spills out, then the acceleration is equal to
- a)g/3
- b)g/2
- c)2g/3
- d)g
Correct answer is option 'D'. Can you explain this answer?
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An open cubical tank of 2 m side is filled with water. If the tank is ...
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Solution:
Given, side of the open cubical tank = 2 m
Volume of the tank = (side)3 = 2×2×2 = 8 m3
Density of water, ρ = 1000 kg/m3
Acceleration due to gravity, g = 9.81 m/s2
To find: Acceleration of the tank, a
Calculation:
The weight of water in the tank, W = Volume × Density × g
W = 8 × 1000 × 9.81 = 78480 N
When the tank is accelerated horizontally, a force is applied on the water in the opposite direction to the acceleration of the tank. This causes the water to spill out of the tank.
Let the acceleration of the tank be a.
Force applied on the water in the opposite direction to the acceleration of the tank, F = ma
Where m is the mass of the water spilled out of the tank.
As half of the water spills out of the tank, the mass of the water spilled out, m = 0.5 × Volume × Density
m = 0.5 × 8 × 1000 = 4000 kg
F = ma
78480 = 4000a
a = 19.62 m/s2
Therefore, the acceleration of the tank is 19.62 m/s2, which is equal to g × 2 = 9.81 × 2 = 19.62 m/s2.
Hence, the correct option is (D) g.
Given, side of the open cubical tank = 2 m
Volume of the tank = (side)3 = 2×2×2 = 8 m3
Density of water, ρ = 1000 kg/m3
Acceleration due to gravity, g = 9.81 m/s2
To find: Acceleration of the tank, a
Calculation:
The weight of water in the tank, W = Volume × Density × g
W = 8 × 1000 × 9.81 = 78480 N
When the tank is accelerated horizontally, a force is applied on the water in the opposite direction to the acceleration of the tank. This causes the water to spill out of the tank.
Let the acceleration of the tank be a.
Force applied on the water in the opposite direction to the acceleration of the tank, F = ma
Where m is the mass of the water spilled out of the tank.
As half of the water spills out of the tank, the mass of the water spilled out, m = 0.5 × Volume × Density
m = 0.5 × 8 × 1000 = 4000 kg
F = ma
78480 = 4000a
a = 19.62 m/s2
Therefore, the acceleration of the tank is 19.62 m/s2, which is equal to g × 2 = 9.81 × 2 = 19.62 m/s2.
Hence, the correct option is (D) g.
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An open cubical tank of 2 m side is filled with water. If the tank is accelerated horizontally with an acceleration such that half of the water spills out, then the acceleration is equal toa)g/3b)g/2c)2g/3d)gCorrect answer is option 'D'. 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 An open cubical tank of 2 m side is filled with water. If the tank is accelerated horizontally with an acceleration such that half of the water spills out, then the acceleration is equal toa)g/3b)g/2c)2g/3d)gCorrect answer is option 'D'. 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 An open cubical tank of 2 m side is filled with water. If the tank is accelerated horizontally with an acceleration such that half of the water spills out, then the acceleration is equal toa)g/3b)g/2c)2g/3d)gCorrect answer is option 'D'. Can you explain this answer?.
An open cubical tank of 2 m side is filled with water. If the tank is accelerated horizontally with an acceleration such that half of the water spills out, then the acceleration is equal toa)g/3b)g/2c)2g/3d)gCorrect answer is option 'D'. 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 An open cubical tank of 2 m side is filled with water. If the tank is accelerated horizontally with an acceleration such that half of the water spills out, then the acceleration is equal toa)g/3b)g/2c)2g/3d)gCorrect answer is option 'D'. 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 An open cubical tank of 2 m side is filled with water. If the tank is accelerated horizontally with an acceleration such that half of the water spills out, then the acceleration is equal toa)g/3b)g/2c)2g/3d)gCorrect answer is option 'D'. Can you explain this answer?.
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