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An engineer is making a table to determine the thrust required that will allow a helicopter of mass m to maintain a constant altitude, when tilted at an angle while experiencing a drag, D. Also calculate the corresponding acceleration. Hint: Solve in terms of variables then plug in. Ꮎ [ ° ] m [kg] D[N] 10 2000 500 12 14 14 2000 2000 4000 500 500 1000 Th[N] 000 a [m/s²]

An engineer is making a table to determine the thrust required that will allow a helicopter of mass m to maintain a constant altitude, when tilted at an angle while experiencing a drag, D. Also calculate the corresponding acceleration. Hint: Solve in terms of variables then plug in. Ꮎ [ ° ] m [kg] D[N] 10 2000 500 12 14 14 2000 2000 4000 500 500 1000 Th[N] 000 a [m/s²]

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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**Title: Understanding Helicopter Thrust and Acceleration** **Introduction:** An engineer is analyzing the thrust needed to maintain a helicopter at a constant altitude. The helicopter is tilted at an angle θ and is subjected to a drag force, D. The goal is to determine the necessary thrust (Th) and the resulting acceleration (a). **Instructions:** Solve the problem using variables before substituting the given values. **Table: Thrust and Acceleration Calculation** | θ [°] | m [kg] | D [N] | Th [N] | a [m/s²] | |-------|--------|-------|--------|----------| | 10 | 2000 | 500 | | | | 12 | 2000 | 500 | | | | 14 | 2000 | 500 | | | | 14 | 4000 | 1000 | | | **Diagram Explanation:** The diagram to the right shows a green helicopter tilted at an angle with respect to the horizontal plane. The helicopter’s motion is affected by the tilt angle θ, which changes the component of thrust required to counteract gravity and drag for maintaining level flight. **Note:** Calculate the thrust and acceleration for each scenario by solving the equations accounting for mass, drag, thrust angle, and the gravitational force. This analysis is crucial for ensuring optimal helicopter performance and safety.
Transcribed Image Text:**Title: Understanding Helicopter Thrust and Acceleration** **Introduction:** An engineer is analyzing the thrust needed to maintain a helicopter at a constant altitude. The helicopter is tilted at an angle θ and is subjected to a drag force, D. The goal is to determine the necessary thrust (Th) and the resulting acceleration (a). **Instructions:** Solve the problem using variables before substituting the given values. **Table: Thrust and Acceleration Calculation** | θ [°] | m [kg] | D [N] | Th [N] | a [m/s²] | |-------|--------|-------|--------|----------| | 10 | 2000 | 500 | | | | 12 | 2000 | 500 | | | | 14 | 2000 | 500 | | | | 14 | 4000 | 1000 | | | **Diagram Explanation:** The diagram to the right shows a green helicopter tilted at an angle with respect to the horizontal plane. The helicopter’s motion is affected by the tilt angle θ, which changes the component of thrust required to counteract gravity and drag for maintaining level flight. **Note:** Calculate the thrust and acceleration for each scenario by solving the equations accounting for mass, drag, thrust angle, and the gravitational force. This analysis is crucial for ensuring optimal helicopter performance and safety.
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