# When a flowing fluid is stopped, its pressure increases. This is called stagnation pressure. The...

## Question:

When a flowing fluid is stopped, its pressure increases. This is called stagnation pressure. The stagnation pressure is determined by: {eq}\rm \displaystyle P_{stagnation} = \frac{1}{2} \rho v^2 + P_{surface} {/eq}, where {eq}\rho {/eq} is the fluid density, v the fluid speed, and {eq}\rm P_{surface} {/eq} the atmospheric pressure. If the stagnation pressure is 19 pounds-force per square inch, what is the fluid speed? The fluid is dimethyl acetamide and its density is 942 kilograms per cubic meter.

## Stagnation Pressure:

For fluids, the pressure is defined as the ration of the force applied and the surface area. Stagnation pressure is defined as the pressure when there is no fluid flow. At a stagnation point the velocity of the fluid is zero and kinetic energy has been converted.

In this case, we can use the equation for the stagnation pressure, which is given as:

{eq}\rm \displaystyle P_{stagnation} = \frac{1}{2} \rho v^2 +...

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