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laila [671]
3 years ago
13

A Boeing 737 airliner has a mass of 20,000 kg and the total area of both wings (top or bottom) is 100 m2. What is the pressure d

ifference between the top and bottom surface of each wing when the airplane is in flight at a constant altitude?
a. 1960 N/m2
b. 7840 N/m2
c. 4560 N/m2
d. 3920 N/m2
e. 3070 N/m2
Physics
2 answers:
Stolb23 [73]3 years ago
6 0

Answer:

The answer is: a. 1960 N/m2

Explanation:

The downward force is equal:

F=mg

Where

m = mass = 20000 kg

F=20000*9.8=196000N

Then, the pressure difference is equal to:

P=\frac{F}{A}

Where

A = total area of both wings = 100 m²

P=\frac{196000}{100} =1960Pa

kvv77 [185]3 years ago
5 0

Answer:

The correct option is A = 1960 N/m²

Explanation:

Given that,

Mass m= 20,000kg

Area A = 100m²

Pressure different between top and bottom

Assume the plane has reached a cruising altitude and is not changing elevation. Then sum the forces in the vertical direction is given as

∑Fy = Wp + FL = 0

where

Wp = is the weight of the plane, and

FL is the lift pushing up on the plane.

Let solve for FL since the mass of the plane is given:

Wp + FL = 0

FL = -Wp

FL = -mg

FL = -20,000× -9.81

FL = 196,200N

FL should be positive since it is opposing the weight of the plane.

Let Equate FL to the pressure differential multiplied by the area of the wings:

FL = (Pb −Pt)⋅A

where Pb and Pt are the static pressures on bottom and top of the wings, respectively

FL = ∆P • A

∆P = FL/A

∆P = 196,200 / 100

∆P = 1962 N/m²

∆P ≈ 1960 N/m²

The pressure difference between the top and bottom surface of each wing when the airplane is in flight at a constant altitude is approximately 1960 N/m². Option A is correct

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