A jet airplane is in level flight. The mass of the airplane is m = 8870 kg. The airplane travels at a constant speed around a circular path of radius R = 8.23 mi and makes one revolution every T = 0.109 h. Given that the lift force acts perpendicularly upward from the plane defined by the wings, what is the magnitude of the lift force acting on the airplane? R L = kN At what angle is the airplane banked?

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**Jet Airplane Level Flight Analysis**

A jet airplane is in level flight. The mass of the airplane is \( m = 8870 \, \text{kg} \). The airplane travels at a constant speed around a circular path of radius \( R = 8.23 \, \text{mi} \) and makes one revolution every \( T = 0.109 \, \text{h} \). Given that the lift force acts perpendicularly upward from the plane defined by the wings, what is the magnitude of the lift force acting on the airplane?

### Diagram Description:
- The diagram shows an overhead view of the airplane in level flight.
- The wings are tilted at an angle \( \theta \) from the horizontal.
- A dotted circular path represents the airplane’s flight path with radius \( R \).
- \( R \) is indicated as the radius of the circular path.
  
### Required Calculations:
1. **Lift Force Magnitude Calculation**  
   \( L = \) [Box for calculation] kN
   
2. **Banking Angle**  
   At what angle is the airplane banked?  
   [Box for calculation]

These calculations help determine the necessary lift force and banking angle for maintaining level flight under the described conditions.
Transcribed Image Text:**Jet Airplane Level Flight Analysis** A jet airplane is in level flight. The mass of the airplane is \( m = 8870 \, \text{kg} \). The airplane travels at a constant speed around a circular path of radius \( R = 8.23 \, \text{mi} \) and makes one revolution every \( T = 0.109 \, \text{h} \). Given that the lift force acts perpendicularly upward from the plane defined by the wings, what is the magnitude of the lift force acting on the airplane? ### Diagram Description: - The diagram shows an overhead view of the airplane in level flight. - The wings are tilted at an angle \( \theta \) from the horizontal. - A dotted circular path represents the airplane’s flight path with radius \( R \). - \( R \) is indicated as the radius of the circular path. ### Required Calculations: 1. **Lift Force Magnitude Calculation** \( L = \) [Box for calculation] kN 2. **Banking Angle** At what angle is the airplane banked? [Box for calculation] These calculations help determine the necessary lift force and banking angle for maintaining level flight under the described conditions.
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