A Jet airplane in level flight has a mass of 8.62 times 10^-4 kg, and the two wi

Question

A Jet airplane in level flight has a mass of 8.62 times 10^-4 kg, and the two wings have an estimated total area of 92.0 m^2. What is the pressure difference between the lower and upper surfaces of the wings? Pa If the speed of air under the wings is 231 m/s, what is the speed of the air over the wings? Assume air has a density of 1.29 kg/m^3. 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.

Explanation / Answer

a) W = m g = 8.62 * 104 * 9.8 = 844760

Pressure is force spread over an area P = F / A

P = W / A = 844760 / 92

Pressure difference = 9182 Pa = 9.18 * 103 Pa

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b)  From Bernoulli's equation

p1 + 1/2 * rho * v12 = p2 + 1/2 * rho * v22

pt + 1/2 * rho * vt2 = pb + 1/2 * rho * vb2

1/2 * rho * vt2 - 1/2 * rho * vb2 = pb - pt

1/2 * 1.29 * vt2 - 1/2 * 1.29 * 2312  = 9182

vt = 260 m/s

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