By Bernoulli's theorem sum of pressure head and velocity head above and below the wing must be equal i.e,
P denotes the pressure, v denotes the velocity and is the density of air
The index a denotes above and b denotes below the wings.
Now we consider the term Pb-Pa
This is nothing but the pressure difference between the upper and lower surface of the wings.
This pressure difference is equal to the force per unit area i.e,
Here the force is supplied by the weight of the aircraft. So we can write
m is the mass of the aircraft and g is the acceleration due to gravity.
putting this value in equation (i) we have
Putting the values we have,
This is the velocity of the air flow above the surface.
An airplane has a mass of 10x10 kg, and the ar flows put the lower surface...
An airplane has a mass of 2.1×106 kg , and the air flows past the lower surface of the wings at 96 m/s If the wings have a surface area of 1500 m2 , how fast must the air flow over the upper surface of the wing if the plane is to stay in the air? Express your answer to two significant figures and include the appropriate units.
An airplane has a mass of 2.2×106 kg , and the air flows past the lower surface of the wings at 85 m/s . If the wings have a surface area of 1200 m2 , how fast must the air flow over the upper surface of the wing if the plane is to stay in the air?
Find the pressure difference on an airplane wing if air flows over the upper surface with a speed of 115 m/s , and along the bottom surface with a speed of 103 m/s . Answer is in kPa. If the area of the wing is 33 m2 , what is the net upward force exerted on the wing? Express your answer using two significant figures. Answer in kN
7.) A Cessna 152 is a small airplane with a mass of 725 kg and a wing area of 15.0 m. It the wings are designed so that the air flows 13.5% faster above the wings than below, then what is the minimum cruising speed of the plane? (You can make the assumption that all the litt force comes from this difference in air flow.)
If air flows under the wing of.an 80,000 kg plane with a speed of 280 m/s how fast does it need to flow over the top of the wing in order to keep the plane in the air if the wings have a surface area of 60 m2?
A small jet airplane has a total wing area of 62.5 m2 and a mass of 7.03 104 kg. (a) If this jet is in horizontal flight, determine the pressure difference between the lower and upper surfaces of the wings. (b) When the speed of air traveling over the wing is 237 m/s, determine the speed of air under the wing. Use 1.29 kg/m3 as the density of air.
A jet airplane in level flight has a mass of 8.70 times 10^-4 kg and the two wings have estimated total area of 86.0 m^2. What is the pressure difference between the lower and upper surface of the wings?
A. Find the pressure difference on an airplane wing if air flows over the upper surface with a speed of 113m/s, and along the bottom surface with a speed of 104m/s. Delta P= ? kPa B. If the area of the wing is 33m^2, what is the net upward force exerted on the wing? -Express your answer using two sig figs. F= ? kN
If the speed of flow past the lower surface of an airplane wing is 101 m/s, what speed of flow over the upper surface will give a pressure difference of 889 Pa between upper and lower surfaces? Take the density of air to be 1.30 × 10-3 g/cm3. Assume the lower surface is at the higher pressure.
An airplane has an effective wing surface area of 21.9 m2 that is generating the lift force. In level flight the air speed over the top of the wings is 70.0 m/s, while the air speed beneath the wings is 47.0 m/s. What is the weight of the plane?