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In a stationary fluid, how does the local pressure of the fluid vary?
- a)With depth only
- b)In the horizontal direction only
- c)Both with depth and along horizontal direction
- d)Neither with depth nor along horizontal direction
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
In a stationary fluid, how does the local pressure of the fluid vary?a...
Pressure variation in a stationary fluid:
Pressure in a fluid at rest, like water in a container, depends only on the depth of the fluid. This is due to the gravitational force acting on the fluid.
Explanation:
Example:
Consider a container filled with water. If you go deeper into the water, you will experience an increase in pressure. This is why deep-sea divers wear special suits to handle the high pressure at greater depths.
Conclusion:
In a stationary fluid, such as water in a container, the local pressure varies only with depth and not along the horizontal direction. This is a fundamental principle in fluid mechanics and is crucial for various engineering applications.
Pressure in a fluid at rest, like water in a container, depends only on the depth of the fluid. This is due to the gravitational force acting on the fluid.
Explanation:
- With depth only: The pressure in a fluid increases with depth. This is because at greater depths, there is more fluid above exerting a greater force due to gravity. The pressure at any point in a fluid is directly proportional to the depth of the fluid above that point.
Example:
Consider a container filled with water. If you go deeper into the water, you will experience an increase in pressure. This is why deep-sea divers wear special suits to handle the high pressure at greater depths.
Conclusion:
In a stationary fluid, such as water in a container, the local pressure varies only with depth and not along the horizontal direction. This is a fundamental principle in fluid mechanics and is crucial for various engineering applications.
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Community Answer
In a stationary fluid, how does the local pressure of the fluid vary?a...
According to Pascal’s law, the local pressure of a fluid is same in all directions. Hence, the pressure won’t vary along the x and y direction. The local pressure will increase with an increase in depth due to the extra weight of water column above that point.
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In a stationary fluid, how does the local pressure of the fluid vary?a)With depth onlyb)In the horizontal direction onlyc)Both with depth and along horizontal directiond)Neither with depth nor along horizontal directionCorrect answer is option 'A'. Can you explain this answer?
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