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
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
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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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:**
\[ L = \text{(To be calculated and filled in kN)} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F52caa5b4-58c6-470e-a25b-6f2dba4e23c8%2F0805ef69-c642-4d5b-82b1-5b036ff691dd%2Fgpxuzys_processed.png&w=3840&q=75)
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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