How are velocity and pressure related in Bernoulli's equation?

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Velocity and pressure are inversely proportional in the context of Bernoulli's equation, which states that the sum of pressure energy, kinetic energy, and potential energy is constant. The equation P + 1/2pv^2 + pgh = constant illustrates this relationship, where an increase in velocity (v) leads to a decrease in pressure (P). While pressure is directly proportional to force and force to acceleration, the dynamics of fluid flow demonstrate that higher velocity results in lower pressure. Understanding this relationship is crucial for solving problems related to fluid dynamics. The discussion emphasizes the importance of Bernoulli's equation in analyzing the interplay between velocity and pressure.
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can you pls tell how velocity and pressure both are inversly proportional with each other as both of them are needed to act force
 
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Lets take a general case.
P=F/A and F=ma.

So we know pressure is directly proportional to force and force is directly proportional to acceleration. Acceleration is the first derivative of Velocity, which means the higher the rate of change of velocity the higher the acceleration. So i don't think they are inversely porportinal. Sorry, but that's what seems logical to me. I do not think they are inversely proportional. Post the whole problem here, and that might help you out.
 
Hold on i just remembered. Are you talking about this in context of Bernoulli's equation? If so then yes they are inversely proportional.

P + 1/2pv^2+pgh=constant.

Try working around with the equation above and you'll get your answer.
 

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