A 12,000-kg airplane is in level flight at a speed of 870 km/h. What is the upward-directed liftforce exerted by the air on the airplane?
Question
A 12,000-kg airplane is in level flight at a speed of 870 km/h. What is the upward-directed liftforce exerted by the air on the airplane?
Solution
To solve this problem, we need to understand that in level flight, the lift force (F) exerted by the air on the airplane is equal to the weight (W) of the airplane. The weight of an object is its mass (m) times the acceleration due to gravity (g).
Here are the steps to solve this problem:
-
Convert the speed of the airplane from km/h to m/s because the standard unit of speed in physics is m/s.
870 km/h = 870,000 m/3600 s = 241.67 m/s
-
Calculate the weight of the airplane. The standard value of acceleration due to gravity is 9.8 m/s².
W = m * g = 12,000 kg * 9.8 m/s² = 117,600 N
-
In level flight, the lift force is equal to the weight of the airplane.
F = W = 117,600 N
So, the upward-directed lift force exerted by the air on the airplane is 117,600 Newtons.
Similar Questions
An airplane wing is designed so that the speed of the air across the top of the wing is 251 m/s when the speed of the air below the wing is 225 m/s. The density of the air is 1.29 kg/m3. What is the lifting force on a wing of area 24.0 m2?
A lift that weighs 300N moves a man with a weight of 950N upwards by 12m. How much work is done to move the lift this height?
An airplane that is flying level needs to accelerate from a speed of 2.00 × 102 m/s to a speed of 2.40 x 102 m/s while it flies a distance of 1.20 km.What must the acceleration of the plane be?Express your answer in m/s2.
An aeroplane's engines provide a force of 30,000 N as it accelerates down the runway. The mass of the aeroplane is 4000 kg. Work out the acceleration of this aeroplane.
An airplane that is flying level needs to accelerate from a speed of 200 𝑚/𝑠 to a speed of 240 𝑚/𝑠while it flies a distance of 1200 𝑚. What must the acceleration of the plane be?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.