2. You are on a flight to California reading an in-flight magazine article about the physics of flying. You find out that air flowing over the wings creates a lift force that is always perpendicular to the wings. In level flight, the upward component of the lift force exactly balances the downward gravitational force. The pilot comes on to say that, because of heavy traffic, the plane will need to circle the airport for a while. She says that you'll maintain a speed of 650 km/h at an altitude of 6.0 km. You start to wonder how far you are from the airport. You notice that the pilot has banked the plane so that the wings are 10° from horizontal. In your solution, draw a free body diagram (FBD) with coordinate axes with f pointing in the direction from the center of the circle towards the plane and Ĵ point up (as usual). Break up the forces into components either on the FBD or make a table of the components. The figure to the right shows the banking angle . At this moment, the center of the circlular path is directly to the left of the plane. Ө
2. You are on a flight to California reading an in-flight magazine article about the physics of flying. You find out that air flowing over the wings creates a lift force that is always perpendicular to the wings. In level flight, the upward component of the lift force exactly balances the downward gravitational force. The pilot comes on to say that, because of heavy traffic, the plane will need to circle the airport for a while. She says that you'll maintain a speed of 650 km/h at an altitude of 6.0 km. You start to wonder how far you are from the airport. You notice that the pilot has banked the plane so that the wings are 10° from horizontal. In your solution, draw a free body diagram (FBD) with coordinate axes with f pointing in the direction from the center of the circle towards the plane and Ĵ point up (as usual). Break up the forces into components either on the FBD or make a table of the components. The figure to the right shows the banking angle . At this moment, the center of the circlular path is directly to the left of the plane. Ө
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Transcribed Image Text:**Understanding Aircraft Flight Dynamics**
While traveling on a flight to California, you engage with an in-flight magazine detailing the fascinating physics behind flying. The article explains that the lift force, generated by air flowing over the wings, is always perpendicular to the wings. In steady flight, this lift force counteracts the downward gravitational pull perfectly. However, the pilot announces that due to heavy air traffic, the plane will need to circle the airport, maintaining a speed of 650 km/h at an altitude of 6.0 km. You notice that the pilot banks the plane 10° from the horizontal.
To analyze this scenario, you need to:
1. **Draw a Free Body Diagram (FBD)**: Use coordinate axes where \( \hat{r} \) points from the circle's center towards the plane, and \( \hat{j} \) points upwards, following usual conventions.
2. **Force Components**: Break down the forces acting on the plane into components shown in the FBD or organize them into a table.
**Diagram Explanation**
The accompanying illustration displays the banking angle \( \theta \). At this specific moment, the center of the plane's circular path is directly to its left, illustrating how banking affects the plane's direction during circling maneuvers.
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