How Does Air Speed Affect Aircraft Weight?

In summary, the conversation is discussing the weight of an aircraft in level flight and how it relates to the lift force. The formula W=mg is mentioned and it is explained that in stable flight, the lift force is equal to the weight of the plane. The conversation ends with the understanding that the lift force and weight are balanced in level flight.
  • #1
Mowgli
31
0

Homework Statement



Air (density= 1.29 kg/m^3) passes over the top surface of an aircraft whoe effective wing surface area is 75.5 m^2 at a speed of 255 m/s. If the air speed beneath the wings is 135 /s, what is the weight of the plane.

Homework Equations



W=mg

The Attempt at a Solution



I know how to find the "lift" in Newtons due to Bernoulli's effect- but I am thrown off by this question. What is the weight? Please help!
 
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  • #2
If you know how to find the lift in Newtons pushing upward on the plane, then ask what is the force of gravity in Newtons pulling the plane downwards? In stable flight these two are equal.
 
  • #3
I'm sorry- I am not good at this. Are you saying the lift is the same as the weight?
 
  • #4
Yes. Assuming that the airplane is in level flight and neither ascending nor descending, then the lift equals the weight. Just like when you are standing on the floor - the floor is pushing up on you with a force which exactly balances your weight. Otherwise you would be falling, since F=ma.
 
  • #5
Right, that makes sense- thank you so much!
 

1. What is air density and weight?

Air density refers to the mass of air per unit volume, while air weight refers to the downward force exerted by the air on a given area. Both are influenced by factors such as temperature, pressure, and humidity.

2. How does air density and weight affect flight?

Air density and weight play a crucial role in flight as they determine the amount of lift and drag experienced by an aircraft. Higher air density and weight can increase lift, making it easier for an aircraft to take off and stay aloft.

3. How is air density and weight measured?

Air density is typically measured in kilograms per cubic meter (kg/m3) while air weight is measured in newtons (N). These measurements can be obtained using specialized instruments such as an air density meter or a pressure altimeter.

4. How does air density and weight change at different altitudes?

As altitude increases, air density and weight decrease due to the decrease in air pressure. This can have an impact on aircraft performance as it affects lift and drag forces. Higher altitudes require lower air density and weight for optimal flight.

5. How does air density and weight affect weather conditions?

Air density and weight can influence weather conditions by affecting the movement and behavior of air masses. Changes in air density and weight can lead to differences in air pressure, resulting in the formation of weather systems such as high and low-pressure areas, which can impact temperature and precipitation levels.

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