Question

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 force for the plane’s takeoff? (The density of the air is 1.29 kg/m3)

A. 72.9 m/s

B. 36.4 m/s

C. 1340 m/s

D. 30.4 m/s

E. 51.5 m/s

Homework Answers

Answer #1

Find the required speed using Bernoulli’s principle as shown below and the relation between pressure difference and force and area.

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
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.
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 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...
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...
A Boeing 747-8I aircraft has a mass of 447,700 kg. This includes loading. The combined area...
A Boeing 747-8I aircraft has a mass of 447,700 kg. This includes loading. The combined area of both wings is 554 m2. The cruise speed is M0.855 (917km/h). Determine the speed of the wind above the wing to maintain the aircraft's lift. The air density is 1.29 kg/m3.
A Boeing 747-8I aircraft has a mass of 447,700 kg. This includes loading. The combined area...
A Boeing 747-8I aircraft has a mass of 447,700 kg. This includes loading. The combined area of ​​both wings is 554 m2. The cruising speed is M0.855 (917 km / h). Determine the speed of the wind above the wing to maintain the aircraft's lift. The air density 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?
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.
An airplane has a mass of 48,000 kg, a wing area of 300 m2, a maximum...
An airplane has a mass of 48,000 kg, a wing area of 300 m2, a maximum lift coefficient of 3.2, and a cruising drag coefficient of 0.03 at an altitude of 12,000 m. Determine(a) the takeoff speed at sea level, assuming it is 20 percent over the stall speed, and (b) the thrust that the engines must deliver for a cruising speed of 900 km/h.
1. A crane lifts a steel submarine with a density of 8,050 kg/m3 and a mass...
1. A crane lifts a steel submarine with a density of 8,050 kg/m3 and a mass of 25,000 kg. It is moved as a constant speed (which means the net force equals??). What is the tension in the lifting cable? The density of the water is 1030 kg/m3. 2. An Airbus A490 aircraft (which may not actually exist) is a massive plane. It has a mass of 600,000 kg and a wing area of 875 m2. The density of air...