Can you please write down the steps? A jet airplane in level flight has a mass o

Question

Can you please write down the steps?

A jet airplane in level flight has a mass of 8.70 times 104 kg, and the two wings have an estimated total area of 89.0 m2. What is the pressure difference between the lower and upper surfaces of the wings? If the speed of air under the wings is 233 m/s; what is the speed of the air over the wings? Assume air has a density of 1.29 kg/m3. Explain why all aircraft have a "ceiling," a maximum operational altitude. The density of air with increasing height, resulting in a pressure difference. Beyond the maximum operational altitude, the pressure difference can no longer support the aircraft. Water moves through a constricted pipe in steady, ideal flow. At the lower point shown in the figure below, the pressure is 1.65 times 105 Pa and the pipe radius is 2.90 cm. At the higher point located at y = 2.50 m, the pressure is 1.27 times 105 Pa and the pipe radius is 1.60 cm.

Explanation / Answer

a) the force should counter the wight of the jet.

--> mg=F=P*A --> P=mg/A = 8.7e4*9.8/89=9579.77 Pa

b) from Bernuli law;

Ptop + 0.5*rho*Vtop^2 = Pbot + 0.5*rho*Vbot^2 -->

--> 0.5rho(Vtop^2-Vbot^2) = Pbot-Ptop = P = 9579.77

--> Vtop^2 = 69141.3 --> Vtop=262.94 m/sec

c)

dencity has an extreme importance on lift force.

density decreases with a height (less air)

this resulting on less difference on pressure, thus lift power will be less.

Beyond some height it will not be enough to support the airplane.

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