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Question

how is pressure related to velocity

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Solution

Dear Student,
Let us assume that you meant to ask about the relationship between pressure and velocity of a fluid (liquids and gases).

According to Bernoulli's Principle, the higher the velocity of a fluid (liquid or gas), the lower the pressure it exerts.
​​​​​​Fluid pressure is caused by the random motion of the fluid molecules. As the fluid speeds up, some of the energy from that random motion of its molecules is used to move faster in the fluid’s direction of motion. This results in a lower pressure.
Therefore we see that as the velocity keeps increasing, the fluid pressure decreases.
Thus, Pressure and Velocity are inversely proportional to each other.
Bernoulli's Equation:
P+ (1/2)ρv^2+ ρgh = Constant
where,
P=pressure, v=velocity, ρ=​​​ density, g= acceleration due to gravity, h= verticle height of the pipeline.

Regards

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