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Alkmini Moschoviti
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Is the force that accelerates afluid betwen two points of different pressure conservative?
I added one more part above, about the force of gravity on an object in the fluid=be sure and see that. ## \\ ## Additional item: There is a vector identity, ## \int \nabla P \, d^3 x=\int P \, \hat{n} dA ##, (where ## \hat{n} ## is the outward pointing normal), and to have equilibrium, ## -\delta g \, \hat{z}+-\nabla P= 0 ##, (where ## \delta ## is the density (mass per unit volume)), so that you can actually derive Archimedes' principle from the pressure gradient force.Alkmini Moschoviti said:Thank you so much for your answer
It is clear
A pressure gradient is the change in pressure over a given distance. It is represented by the symbol ∇P.
A pressure gradient causes a conservative force by creating a difference in pressure between two points. This difference in pressure results in a net force that acts in the direction of decreasing pressure, leading to the movement of fluids or particles.
One example of this is wind. Wind is caused by a pressure gradient between high and low pressure systems. The air moves from high pressure to low pressure, creating a force that causes wind to blow.
The relationship between pressure gradient and conservative force is that a pressure gradient creates a conservative force. This force acts in the direction of decreasing pressure and is responsible for the movement of fluids or particles.
The strength of a pressure gradient directly affects the magnitude of a conservative force. A larger pressure gradient leads to a stronger force, while a smaller pressure gradient results in a weaker force. This is because a larger pressure gradient creates a larger difference in pressure, resulting in a stronger force.