Question

. An air-plane has an effective wing surface area of 16.0 m² that is generating the...

. An air-plane has an effective wing surface area of 16.0 m² that is generating the lift force. In level flight the air speed over the top of the wings is 60.0 m/s, while the air speed beneath the wings is 41.0 m/s. What is the weight of the plane?(The density of air is 1.29 kg/m³)

Homework Answers

Answer #1

The weight of a plane in level flight will be equal to the lift force generated by the wings.

Calculatig lift force

The pressure difference between the top and bottom of the wing is

Substituting our values, we get

Since this pressure acts on the wing area, we can calculate the force

This is the lift force. This is also equal to the weight of the plane.

Therefore, the weight of the plane is .

Dividing this by the acceleration due to gravity, we can even get the mass of the plane.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
1. An air-plane has an effective wing surface area of 12.0 m² that is generating the...
1. An air-plane has an effective wing surface area of 12.0 m² that is generating the lift force. In level flight the air speed over the top of the wings is 58.5 m/s, while the air speed beneath the wings is 45.5 m/s. What is the weight of the plane?(The density of air is 1.29 kg/m³) (in N) 2. Water at a pressure of 3.60 atm at street level flows into an office building at a speed of 0.50 m/s...
A: An airplane has an effective wing surface area of 18 m2 that is generating the...
A: An airplane has an effective wing surface area of 18 m2 that is generating the lift force. In level flight the air speed over the top of the wings is 61.5 m/s, while the air speed beneath the wings is 58.5m/s. What is the weight of the plane? B: An antifreeze solution is made by mixing ethylene glycol (ρ = 1112 kg/m3) with water. Suppose that the specific gravity of such a solution is 1.1100. Assuming that the total...
A cargo plane has two wings and each wing has an area of 34.15 m2. The...
A cargo plane has two wings and each wing has an area of 34.15 m2. The mass of the cargo plane is 9310 kg. When the plane is taking off, the speed of the air over the top of the wing v2 is 1.8 times air speed under the wing v1 (i.e. v2 = 1.8 v1). If v1 is the same as the speed of the plane, what is the minimum speed of the plane v1 to obtain enough lift...
An airplane has two wings, each with area 5.00 m2, designed so that air flows over...
An airplane has two wings, each with area 5.00 m2, designed so that air flows over the top of the wing at 240 m/s and underneath the wing at 220 m/s. What is the mass of the airplane such that the lift on the plane will support its weight, in 103 kg?. Note. Assume the force from the pressure difference across the wings is directed straight upward. Density of air is 1.29 kg/m3.
An airplane wing is designed so that the speed of the air across the top of...
An airplane wing is designed so that the speed of the air across the top of the wing is 260 m/s when the speed of the air below the wing is 193 m/s. The density of the air is 1.29 kg/m3. What is the lifting force on a wing of area 20.0 m2?
A frequently quoted rule of thumb in aircraft design is that wings should produce about 1000...
A frequently quoted rule of thumb in aircraft design is that wings should produce about 1000 N of lift per square meter of wing. (The fact that a wing has a top and bottom surface does not double its area.) a)At takeoff the aircraft travels at 63.0 m/s, so that the air speed relative to the bottom of the wing is 63.0 m/s. Given the sea level density of air to be 1.29 kg/m3, how fast (in m/s) must it...
4. An airplane has a wing area of 428 m2. In flight, the velocity of the...
4. An airplane has a wing area of 428 m2. In flight, the velocity of the air beneath the wing is 250 m/s and the velocity of air above the wing is 290 m/s. The density of air is 1.20 kg/m3. a) Determine the upward force on the WING (HINT: use the Bernoulli Equation) b) Determine the MASS of an airplane that this WING could support in the air c) Is this WING sufficient to support a Boeing 777 with...
Air of density 1.05 kg/m^3 flows over a planes wing at 111.0 m/s and below the...
Air of density 1.05 kg/m^3 flows over a planes wing at 111.0 m/s and below the wing at 80.0 m/s. If the area of the wing is 100.0 m^2 what is the upward force (dynamic lift) on the plane’s wing?
A small jet airplane has a total wing area of 67.5 m2 and a mass of...
A small jet airplane has a total wing area of 67.5 m2 and a mass of 8.03 104 kg. (a) If this jet is in horizontal flight, determine the pressure difference between the lower and upper surfaces of the wings. in Pa ? (b) When the speed of air traveling over the wing is 247 m/s, determine the speed of air under the wing. Use 1.29 kg/m3 as the density of air. in m/s ? (c) Which answer is correct...
What is the net upward force on an airplane wing of area 21.0 m2 if the...
What is the net upward force on an airplane wing of area 21.0 m2 if the speed of air flow is 200 m/s across the top of the wing and 175 m/s across the bottom? (The density of air where the airplane flies is ?air = 1.21 kg/m3.