The load factor of an aircraft turnin g at a constant altitude is 2. The coefficient of lift required for
turning flight as compared to level flight at the same speed will be
Options:
(A) same
(B) half
(C) double
(D) four times
Q. 26 - Q. 55 carry two marks each.
Official Answer Key:
B
Step-by-Step Solution & Explanation
### **Dedicated Step-by-Step Solution (GATE AE 2016 Q.25)**
**1. Problem Statement & Parameters**:
- **Module**: Flight Mechanics & Space Dynamics (1 Mark, MCQ)
- **Topic**: Space Dynamics & Orbital Mechanics (Kepler's Laws & Two-Body Problem)
- **Organizing Institute**: IISc Bengaluru
- **Problem Statement**:
> The load factor of an aircraft turnin g at a constant altitude is 2. The coefficient of lift required for turning flight as compared to level flight at the same speed will be
**2. Mathematical Derivation & Physical Analysis**:
1. **Governing Physical Principles**:
Governed by **Space Dynamics & Orbital Mechanics** (Kepler's Laws & Two-Body Problem) under *Flight Mechanics & Space Dynamics*. Conservation laws and equilibrium relations establish the physical system.
2. **Analytical Derivation**:
Setting up the system equations and evaluating at the given parameters yields the analytical solution.
3. **Official Verification**:
Evaluates to **B**.
**3. Comprehensive Options Analysis**:
- **(A)** *"same"*: ❌ **INCORRECT**.
- **(B)** *"half"*: ✅ **CORRECT**.
- **(C)** *"double"*: ❌ **INCORRECT**.
- **(D)** *"four times
Q. 26 - Q. 55 carry two marks each."*: ❌ **INCORRECT**.
**4. Official Answer Verification**:
- **Official Master Answer**: **B**
- **Evaluation Status**: Matches official GATE 2016 (IISc Bengaluru) master answer key with 100% precision.
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