A jet airplane is in level flight. The mass of the airplane is m = 8850 kg. The airplane travels at a constant speed around a circular path of radius R = 9.55 mi and makes one revolution every T = 0.126 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

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### Diagram Description:

The image shows an illustration of an airplane making a banked turn. The plane is depicted from a top-down view and is tilted at an angle \(\theta\). The center of the turning circle is marked, and the radius \(R\) of the turn is indicated by a dashed line extending from the center to the path of the airplane.

### Variables and Equations:

- \(L =\) _______________ kN  
  *This space is provided for calculating the lift force in kilonewtons.*

- **Question: At what angle is the airplane banked?**

- \(\theta =\) _______________ \(^{\circ}\)  
  *This space is provided for determining the bank angle in degrees.*

This educational content helps explain the principles of banking during flight, including the relationship between lift, bank angle, and radius of a turn. This exercise aids in understanding the physics of circular flight and the calculations involved in maintaining a stable banked turn.
Transcribed Image Text:### Diagram Description: The image shows an illustration of an airplane making a banked turn. The plane is depicted from a top-down view and is tilted at an angle \(\theta\). The center of the turning circle is marked, and the radius \(R\) of the turn is indicated by a dashed line extending from the center to the path of the airplane. ### Variables and Equations: - \(L =\) _______________ kN *This space is provided for calculating the lift force in kilonewtons.* - **Question: At what angle is the airplane banked?** - \(\theta =\) _______________ \(^{\circ}\) *This space is provided for determining the bank angle in degrees.* This educational content helps explain the principles of banking during flight, including the relationship between lift, bank angle, and radius of a turn. This exercise aids in understanding the physics of circular flight and the calculations involved in maintaining a stable banked turn.
**Problem Statement:**

A jet airplane is in level flight. The mass of the airplane is \( m = 8850 \) kg. The airplane travels at a constant speed around a circular path of radius \( R = 9.55 \) mi and makes one revolution every \( T = 0.126 \) 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 Explanation:**

The diagram depicts a jet airplane viewed from the front as it travels in a circular path. 

- The airplane is tilted at an angle \( \theta \) relative to the horizontal plane.
- The circular path is represented by a dashed line with a radius \( R \).
- The center of the circular path is marked by a black dot.

**Objective:**

Calculate the lift force \( L \), which acts perpendicularly upward from the plane defined by the wings of the airplane.

The result is to be expressed in kilonewtons (kN).

**Calculation Area:**

\[ L = \text{(To be calculated and filled in kN)} \]
Transcribed Image Text:**Problem Statement:** A jet airplane is in level flight. The mass of the airplane is \( m = 8850 \) kg. The airplane travels at a constant speed around a circular path of radius \( R = 9.55 \) mi and makes one revolution every \( T = 0.126 \) 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 Explanation:** The diagram depicts a jet airplane viewed from the front as it travels in a circular path. - The airplane is tilted at an angle \( \theta \) relative to the horizontal plane. - The circular path is represented by a dashed line with a radius \( R \). - The center of the circular path is marked by a black dot. **Objective:** Calculate the lift force \( L \), which acts perpendicularly upward from the plane defined by the wings of the airplane. The result is to be expressed in kilonewtons (kN). **Calculation Area:** \[ L = \text{(To be calculated and filled in kN)} \]
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