Need help find the speed at a point on the wing

[lomao]

An airplane has a true airspeed of 190mph. at10,000ft, standard atmosphere. What is the speed at a point on the wing where the pressure is 9 psic?

I'm stuck on this question.

 

[lomao]

I know it's something about the Bernoulli. But I'm confused about the units and which equation I should use.

 

[lomao]

I really need help on this. Help me guys!

 

[boneh3ad]

Try posting it in the homework section and using the proper format.

 

[alphy]

To determine the speed at a point on the wing where the pressure is 9 psic, we need to use the Bernoulli's principle which states that the total energy of a fluid flowing along a streamline is constant. This means that as the pressure decreases, the velocity increases.

In this scenario, we can use the equation P1 + 1/2ρv1^2 = P2 + 1/2ρv2^2, where P1 and v1 are the initial pressure and velocity, and P2 and v2 are the pressure and velocity at the point on the wing.

We are given the true airspeed of the airplane as 190mph, which is equivalent to 278.67 ft/s. At 10,000ft in standard atmosphere, the air density is 0.001225 kg/m^3. Using this information, we can plug in the values into the equation as follows:

9 psic = 9 * 6894.76 Pa = 62,053.84 Pa
190 mph = 278.67 ft/s = 85.04 m/s

P1 + 1/2 * 0.001225 * 85.04^2 = 62,053.84 Pa + 1/2 * 0.001225 * v2^2

Solving for v2, we get v2 = 404.59 ft/s or 277.18 mph.

Therefore, the speed at a point on the wing where the pressure is 9 psic is approximately 277.18 mph. It is important to note that this value is an approximation as there are other factors such as air turbulence and surface roughness that can affect the actual speed at that point on the wing. Additionally, this calculation assumes steady and uniform airflow, which may not always be the case in real-life scenarios.