GATE AE 2017 • Q39 MCQ • 2 Marks Flight Mechanics & Space Dynamics

Flight Mechanics & Space Dynamics

Static Stability & Control

Subtopic: Control Surfaces (Elevator, Aileron, Rudder)

Question Statement:

A pilot was flying a single engine propeller aircraft and maintained steady level flight at trim. Due to torque reaction and slipstream rotation from a clockwise rotating propeller (viewed from the cockpit), the airplane tends to naturally:

Options:

  • (A) Roll right and yaw right
  • (B) Roll left and yaw left
  • (C) Roll right and yaw left
  • (D) Roll left and yaw right

Official Answer Key:

B

Step-by-Step Solution & Explanation

### **Detailed Step-by-Step Solution (GATE AE 2017 Q.39)** **1. Intuitive Physical Setup & Given Parameters**: - Propeller rotates clockwise as viewed from the pilot's cockpit. **2. Step-by-Step Physical Derivation**: 1. **Torque Reaction (Newton's Third Law)**: - The engine exerts clockwise torque to spin the propeller. - By reaction, the propeller exerts an equal and opposite counter-clockwise (left-rolling) torque on the aircraft fuselage. - Therefore, the torque reaction causes the aircraft to **roll left**. 2. **Spiraling Slipstream & Asymmetric Blade Effect (P-Factor)**: - The propeller wash rotates in a clockwise spiral around the fuselage. - When this rotating corkscrew airflow reaches the vertical tail (fin), it strikes the left surface of the fin. - This aerodynamic side-force on the fin pushes the tail to the right, which swings the nose to the **left (yaw left)**. - Thus, the airplane naturally rolls left and yaws left. **3. Comprehensive Options & Distractor Analysis**: - **(A)** (roll right, yaw right): ❌ Incorrect. Opposite to Newton's 3rd law and slipstream physics. - **(B)** (roll left and yaw left): ✅ **CORRECT**. Directly produced by counter-clockwise reaction torque and left-side fin impingement. - **(C)** (roll right, yaw left): ❌ Incorrect roll direction. - **(D)** (roll left, yaw right): ❌ Incorrect yaw direction. **4. Official Master Key & Exam Takeaway**: - **Official Answer**: **B** - **Exam Rule**: For standard clockwise propeller (from cockpit): Left rolling tendency + Left yawing tendency.
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