Civil Engineering (CE) Exam > Civil Engineering (CE) Questions > The hydrostatic lawa)holds unaltered for a li...
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The hydrostatic law
- a)holds unaltered for a liquid in a vessel subjected to constant rotation
- b)holds unaltered for a liquid in a vessel subjected to constant acceleration
- c)doesn’t hold for the atmosphere
- d)holds for a liquid in equilibrium only
Correct answer is option 'A'. Can you explain this answer?
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The hydrostatic lawa)holds unaltered for a liquid in a vessel subjecte...
Hydrostatic Law and Rotation
The hydrostatic law states that the pressure at any point in a fluid at rest is the same in all directions. When a liquid is in a vessel subjected to constant rotation, the centrifugal force acts on the liquid particles causing them to move outward. Despite this additional force, the hydrostatic law still holds unaltered.
Reasoning
When a liquid is in a vessel undergoing constant rotation, the centrifugal force acts radially outward. However, this force does not affect the pressure distribution within the liquid. The pressure at any point within the liquid remains the same in all directions, as per the hydrostatic law.
Comparison with Constant Acceleration
On the other hand, if the vessel is subjected to constant acceleration, the hydrostatic law may not hold. In such a scenario, additional forces due to acceleration can impact the pressure distribution within the liquid, leading to variations that do not comply with the hydrostatic law.
Conclusion
In conclusion, the hydrostatic law holds unaltered for a liquid in a vessel subjected to constant rotation. The centrifugal force does not disrupt the equilibrium of pressure distribution within the liquid, allowing the hydrostatic law to remain valid even under rotational conditions.
The hydrostatic law states that the pressure at any point in a fluid at rest is the same in all directions. When a liquid is in a vessel subjected to constant rotation, the centrifugal force acts on the liquid particles causing them to move outward. Despite this additional force, the hydrostatic law still holds unaltered.
Reasoning
When a liquid is in a vessel undergoing constant rotation, the centrifugal force acts radially outward. However, this force does not affect the pressure distribution within the liquid. The pressure at any point within the liquid remains the same in all directions, as per the hydrostatic law.
Comparison with Constant Acceleration
On the other hand, if the vessel is subjected to constant acceleration, the hydrostatic law may not hold. In such a scenario, additional forces due to acceleration can impact the pressure distribution within the liquid, leading to variations that do not comply with the hydrostatic law.
Conclusion
In conclusion, the hydrostatic law holds unaltered for a liquid in a vessel subjected to constant rotation. The centrifugal force does not disrupt the equilibrium of pressure distribution within the liquid, allowing the hydrostatic law to remain valid even under rotational conditions.
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Community Answer
The hydrostatic lawa)holds unaltered for a liquid in a vessel subjecte...
- According to Hydrostatic Law, the rate of increase of pressure in a vertical direction is equal to the weight density of the fluid at that point when the fluid is stationary.
- The pressure at any point in a fluid at rest is obtained by the Hydrostatic Law which states that the rate of increase of pressure in a vertically downward direction must be equal to the specific weight of the fluid at that point.
dP/dh = w for downward direction
dP/dh = -w in upward direction
Thus, The rate of increase of pressure in a vertically downward direction is equal to Specific weight.
The hydrostatic law holds unaltered to for a liquid in a vessel subjected to constant rotation:
The hydrostatic law holds unaltered to for a liquid in a vessel subjected to constant rotation:
- A liquid, contained in a vessel, may be rotated at a constant rotational velocity without any relative movement being created between different elements of the liquid in the vessel.
- The liquid reorients itself once and for all to stay in that position with respect to the axis of rotation. The liquid mass is said to undergo a solid-body type of rotation, also known as a forced vortex motion.
- This state of relative rest is also characterized by the absence of rates of strain and shear stresses in the liquid and the hydrostatic law may be used to estimate the pressure distribution, hydrostatic forces etc., due to the liquid.
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The hydrostatic lawa)holds unaltered for a liquid in a vessel subjected to constant rotationb)holds unaltered for a liquid in a vessel subjected to constant accelerationc)doesn’t hold for the atmosphered)holds for a liquid in equilibrium onlyCorrect answer is option 'A'. Can you explain this answer?
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