GATE AE 2026 • Q31
NAT • 1M
Subtopic: Range and Endurance of Jet & Propeller Aircraft
An aircraft starts gliding in power-off condition at an altitude of 4 km. Given that the maximum lift to drag ratio of the aircraft is 15, the maximum glide range that the aircraft can cover, measured along the ground, is ________ km (rounded off to the nearest integer).
Official Key: 60.0 ➔
GATE AE 2026 • Q62
NAT • 2M
Subtopic: Range and Endurance of Jet & Propeller Aircraft
A gas mixture at a pressure of 800 kPa and a density of 5 kg/m3 enters a turbine stage. The temperature of the gas at the nozzle exit and the stage exit are 790 K and 750 K, respectively. Assume the specific heats are constant for the gas mixture in the range of temperatures considered. The specific heat at constant pressure is 0.72 kJ/kg-K and the ratio of specific heats is 1.33. The value of the degree of reaction of the turbine stage is ________ (rounded off to 2 decimal places).
Official Key: 0.275 ➔
GATE AE 2025 • Q23
MCQ • 1M
Subtopic: Climb, Glide, Ceiling & Turn Performance
For a general aviation airplane, which one of the following has a destabilizing effect on its static roll stability?
Official Key: C ➔
GATE AE 2025 • Q24
MCQ • 1M
Subtopic: Climb, Glide, Ceiling & Turn Performance
A general aviation airplane is flying at an altitude of 5000 m. The indicated airspeed is 250 km/h. Assume that there are no instrument errors and position errors. Neglecting compressibility effects, which one of the following options is FALSE?
Official Key: C ➔
GATE AE 2025 • Q38
MSQ • 2M
Subtopic: Climb, Glide, Ceiling & Turn Performance
A general aviation airplane is initially in steady and level flight. The stability coefficient $\partial$Cm $\partial$q (Cm is the airplane pitching moment coefficient and q is the pitch rate) is negative. The airplane is perturbed with a small nose-up constant pitch rate. Assume that the horizontal tail does not stall during the perturbation, and unsteady effects are neglected. When compared to steady and level flight condition, which of the following statements is/are true during the perturbed motion?
Official Key: A, B, C ➔
GATE AE 2025 • Q39
MSQ • 2M
Subtopic: Climb, Glide, Ceiling & Turn Performance
A general aviation airplane is gliding with a speed Vg at minimum glide angle. Which of the following statements is/are true?
Official Key: A, D ➔
GATE AE 2025 • Q48
NAT • 2M
Subtopic: Climb, Glide, Ceiling & Turn Performance
In a low-speed airplane, a venturimeter with 1.3:1 area ratio is used for airspeed measurement. The airplane's maximum speed at sea level is 90 m/s. If the density of air at sea level is 1.225 kg/m^3, the maximum pressure difference between the inlet and the throat of the venturimeter is ________ kPa (rounded off to two decimal places).
Official Key: 3.325 ➔
GATE AE 2025 • Q54
NAT • 2M
Subtopic: Range and Endurance of Jet & Propeller Aircraft
While taking off, the net external force acting on an airplane during the ground roll segment can be assumed to be constant. The airplane starts from rest. SLO and VLO are the ground roll distance and the lift-off speed, respectively. $\alpha$VLO ($\alpha$ > 0) denotes the airplane speed at 0.5 SLO. Neglecting changes in the airplane mass during the ground roll segment, the value of $\alpha$ is _____ (rounded off to two decimal places).
Official Key: 0.705 ➔
GATE AE 2024 • Q28
MSQ • 1M
Subtopic: Climb, Glide, Ceiling & Turn Performance
Which of the following statements about a general aviation aircraft, while operating at point Q in the V-n diagram, is/are true?
Official Key: A, B, D ➔
GATE AE 2024 • Q33
NAT • 1M
Subtopic: Climb, Glide, Ceiling & Turn Performance
An airplane experiences a net vertical ground reaction of 15000 N during landing. The weight of the airplane is 10000 N. The landing vertical load factor, defined as the ratio of inertial load to the weight of the aircraft, is __________ (rounded off to 1 decimal place).
Official Key: 1.5 ➔
GATE AE 2023 • Q32
NAT • 1M
Subtopic: Climb, Glide, Ceiling & Turn Performance
An airplane weighing 40 kN is landing on a horizontal runway during which it is retarded by an arresting cable mechanism. The tension in the arresting cable at a given instant, as shown in the figure, is 100 kN. Assuming that the thrust from the engine continues to balance airplane drag, the magnitude of horizontal load factor is ________. (round off to one decimal place)
Official Key: 2.5 ➔
GATE AE 2023 • Q60
NAT • 2M
Subtopic: Climb, Glide, Ceiling & Turn Performance
The maximum permissible load factor and the maximum lift force coefficient for an airplane is 7 and 2, respectively. For a wing loading of 6500 N/m2 and air density 1.23 kg/m^3, the speed yielding the highest possible turn rate in the vertical plane is ___________ m/s. (round off to the nearest integer)
Official Key: 192.5 ➔
GATE AE 2022 • Q63
NAT • 2M
Subtopic: Climb, Glide, Ceiling & Turn Performance
A uniform rigid prismatic bar of total mass $m$ is suspended from a ceiling by two identical springs as shown in the figure. Let $\omega_1$ and $\omega_2$ be the natural frequencies of mode I and mode II respectively ($\omega_1 < \omega_2$). The value of $\omega_2 / \omega_1$ is ______ (rounded off to one decimal place).
Official Key: 1.75 ➔
GATE AE 2021 • Q35
MSQ • 1M
Subtopic: Range and Endurance of Jet & Propeller Aircraft
Which of the following statement(s) is/are true? (A) Service ceiling is higher than absolute ceiling for a piston-propeller aircraft. (B) For a given aircraft, the stall speed increases with increase in altitude. (C) Everything else remaining the same, a tailwind increases the range of an aircraft. (D) For a jet aircraft constrained to fly at constant altitude, there exists an altitude where its range is maximum.
Official Key: B, C, D ➔
GATE AE 2021 • Q55
NAT • 2M
Subtopic: Range and Endurance of Jet & Propeller Aircraft
An aerospace system operating under standard sea level conditions is governed by Inlets, Combustors & Nozzles (Convergent & Convergent-Divergent (C-D) Nozzles). Compute the required parameter in standard SI units (rounded off to the acceptable range).
Official Key: 21.0 ➔
GATE AE 2021 • Q57
NAT • 2M
Subtopic: Range and Endurance of Jet & Propeller Aircraft
An aerospace system operating under standard sea level conditions is governed by Inlets, Combustors & Nozzles (Combustor Design & Flame Stabilization). Compute the required parameter in standard SI units (rounded off to the acceptable range).
Official Key: 18.75 ➔
GATE AE 2021 • Q58
NAT • 2M
Subtopic: Range and Endurance of Jet & Propeller Aircraft
An aerospace system operating under standard sea level conditions is governed by Rocket Propulsion (Solid, Liquid & Hybrid Rocket Engines). Compute the required parameter in standard SI units (rounded off to the acceptable range).
Official Key: 2.425 ➔
GATE AE 2021 • Q64
NAT • 2M
Subtopic: Range and Endurance of Jet & Propeller Aircraft
An aerospace system operating under standard sea level conditions is governed by Aerospace Materials & Fatigue (Aluminum, Titanium & Aerospace Alloys). Compute the required parameter in standard SI units (rounded off to the acceptable range).
Official Key: 9791.0 ➔
GATE AE 2020 • Q46
NAT • 2M
Subtopic: Range and Endurance of Jet & Propeller Aircraft
A single engine, propeller driven, general aviation airplane is flying in cruise at sea- level condition (density of air at sea-level is 1.225 kg/m') with speed to cover maximum range. For drag coefficient Cp = 0.025 + 0.049 Ci? and wing loading W/S = 9844 N/m?, the speed of the airplane is _ m/s (round off to one decimal place).
Official Key: 0.011 ➔
GATE AE 2020 • Q55
NAT • 2M
Subtopic: Range and Endurance of Jet & Propeller Aircraft
An aerospace system operating under standard sea level conditions is governed by Inlets, Combustors & Nozzles (Convergent & Convergent-Divergent (C-D) Nozzles). Compute the required parameter in standard SI units (rounded off to the acceptable range).
Official Key: 25.65 ➔
GATE AE 2020 • Q57
NAT • 2M
Subtopic: Range and Endurance of Jet & Propeller Aircraft
An aerospace system operating under standard sea level conditions is governed by Inlets, Combustors & Nozzles (Combustor Design & Flame Stabilization). Compute the required parameter in standard SI units (rounded off to the acceptable range).
Official Key: 1715.5 ➔
GATE AE 2020 • Q58
NAT • 2M
Subtopic: Range and Endurance of Jet & Propeller Aircraft
An aerospace system operating under standard sea level conditions is governed by Rocket Propulsion (Solid, Liquid & Hybrid Rocket Engines). Compute the required parameter in standard SI units (rounded off to the acceptable range).
Official Key: 92.0 ➔
GATE AE 2020 • Q64
NAT • 2M
Subtopic: Range and Endurance of Jet & Propeller Aircraft
An aerospace system operating under standard sea level conditions is governed by Aerospace Materials & Fatigue (Aluminum, Titanium & Aerospace Alloys). Compute the required parameter in standard SI units (rounded off to the acceptable range).
Official Key: 63.015 ➔
GATE AE 2019 • Q27
NAT • 1M
Subtopic: Range and Endurance of Jet & Propeller Aircraft
The power-off glide range for an airplane with a maximum Lift to Drag ratio of 18, when the glide starts from an altitude of 4 km above ground level, is _________ km (round off to the nearest integer).
Official Key: 72.0 ➔
GATE AE 2019 • Q28
NAT • 1M
Subtopic: Range and Endurance of Jet & Propeller Aircraft
For an airplane flying in a vertical plane, the angle of attack is $3^\circ$, the horizontal and vertical components of velocity in wind axes are 300 km/h and 0 km/h, respectively. If the pitch angle is $9^\circ$, the climb angle of the airplane is _________ degrees (round off to the nearest integer).
Official Key: 6.0 ➔
GATE AE 2019 • Q29
NAT • 1M
Subtopic: Range and Endurance of Jet & Propeller Aircraft
An airplane is in steady level flight with a true air speed of 50 m/s. The ambient air density and ambient static pressure are 1.2 kg/m$^3$ and $1.0 \times 10^5$ N/m$^2$, respectively. If the flow is incompressible, the equivalent air speed (in m/s) of the airplane is _________ (round off to 2 decimal places). (Take sea level standard air density $\rho_0 = 1.225$ kg/m$^3$)
Official Key: 43.10 ➔
GATE AE 2019 • Q50
NAT • 2M
Subtopic: Climb, Glide, Ceiling & Turn Performance
The airplane shown in the figure starts executing a symmetric pull-up maneuver from steady level flight at $V = 100$ m/s. If the pull-up radius of curvature is $R = 500$ m and $g = 9.81$ m/s$^2$, the load factor $n$ experienced by the airplane is _________ (round off to 2 decimal places).
Official Key: 2.07 ➔
GATE AE 2019 • Q59
NAT • 2M
Subtopic: Climb, Glide, Ceiling & Turn Performance
As shown in the figure, a rigid slab CD of weight $W$ (distributed uniformly along its length) is hung from a ceiling using three vertical cables of identical length and cross-sectional area. The central cable is made of steel (Young's modulus = $3E$) and the other two outer cables are made of aluminium (Young's modulus = $E$). The percentage of the total weight taken by the central cable is _________ % (round off to the nearest integer).
Official Key: 60.0 ➔
GATE AE 2018 • Q42
MCQ • 2M
Subtopic: Standard Atmosphere Properties
An aircraft with a gross weight of 2000 kg , has a speed of 130 m/s at sea level, where the conditions are: 1 atmosphere (pressure), 288 K (temperature), and 1.23 kg/m^3 (density). The speed (in m/s) required by the aircraft at an altitude of 9000 m, where the conditions are: 0.31 atmosphere, 230 K, and 0. 47 kg/m^3, to maintain a steady, level flight is ________ (accurate to two decimal places).
Official Key: B ➔
GATE AE 2018 • Q48
NAT • 2M
Subtopic: Climb, Glide, Ceiling & Turn Performance
Gross weight of an airplane is 7000 N, wing area is 16 m^2, and the maximum lift coefficient is 2.0. Assuming density at the altitude as 1.23 kg/m^3, the stall speed (in m/s) of the aircraft is _________ (accurate to two decimal places).
Official Key: 0.865 ➔
GATE AE 2018 • Q58
NAT • 2M
Subtopic: Climb, Glide, Ceiling & Turn Performance
Gross weight of an airplane is 7000 N, wing area is 16 m$^2$, and the maximum lift coefficient is 2.0. Assuming air density at the altitude as 1.23 kg/m$^3$, the stall speed (in m/s) of the aircraft is _________ (accurate to two decimal places).
Official Key: 18.85 ➔
GATE AE 2017 • Q17
MCQ • 1M
Subtopic: Climb, Glide, Ceiling & Turn Performance
An aircraft landing gear can be idealized as a single degree of freedom spring-mass-damper system. The desirable damping characteristics of such a system is:
Official Key: C ➔
GATE AE 2017 • Q40
NAT • 2M
Subtopic: Drag Polar & Aircraft Performance Equations
A conventional low speed aircraft had the following aerodynamic characteristics: wing area $S = 20$ m$^2$, weight $W = 30000$ N, and zero-lift drag coefficient $C_{D0} = 0.02$. At sea level with $\rho = 1.225$ kg/m$^3$, if the thrust required at minimum drag speed is 2400 N, the maximum lift-to-drag ratio $(L/D)_{\max}$ of the aircraft is _________ (round off to 1 decimal place).
Official Key: 12.5 ➔
GATE AE 2017 • Q43
NAT • 2M
Subtopic: Drag Polar & Aircraft Performance Equations
An aircraft is to be designed to ensure that it has enough excess power for climb. If the engine produces 500 kW of power and the power required for steady level flight at speed $V$ is 350 kW for an aircraft weight of 12.5 kN, the maximum rate of climb (in m/s) at this speed is _________ (round off to 1 decimal place).
Official Key: 12.0 ➔
GATE AE 2016 • Q25
MCQ • 1M
Subtopic: Climb, Glide, Ceiling & Turn Performance
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
Official Key: B ➔
GATE AE 2016 • Q50
NAT • 2M
Subtopic: Climb, Glide, Ceiling & Turn Performance
An aircraft weighing 10000 N is flying level at 100 m/s and it is powered by a jet engine. The thrust required for level flight is 1000 N. The maximum possible thrust produced by the jet engine is 5000 N. The minimum time required to climb 1000 m, when flight speed is 100 m/s, is ________s.
Official Key: 2.5 ➔
GATE AE 2016 • Q53
NAT • 2M
Subtopic: Range and Endurance of Jet & Propeller Aircraft
A glider weighing 3300 N is flying at 1000 m above sea level. The wing area is 14.1 m2 and the air density is 1.23 kg/m^3. Under zero wind conditions, the velocity for maximum range is __________ m/s. $\alpha$ (deg) C L CD C L/CD 11 1.46 0.0865 16.9 9 1.36 0.0675 20.1 7 1.23 0.0535 22.9 5 1.08 0.0440 24.5 3 0.90 0.0350 25.7 1 0.70 0.0275 25.4 -1 0.49 0.0220 22.2 -3 0.25 0.0180 13.8
Official Key: 3.14 ➔
GATE AE 2016 • Q58
NAT • 2M
Subtopic: Range and Endurance of Jet & Propeller Aircraft
An aerospace system operating under standard sea level conditions is governed by Rocket Propulsion (Solid, Liquid & Hybrid Rocket Engines). Compute the required parameter in standard SI units (rounded off to the acceptable range).
Official Key: 7700.0 ➔
GATE AE 2015 • Q27
NAT • 1M
Subtopic: Range and Endurance of Jet & Propeller Aircraft
An aerospace system operating under standard sea level conditions is governed by Thermodynamic Cycles of Gas Turbines (Turbojet, Turbofan & Turboprop Engine Performance). Compute the required parameter in standard SI units (rounded off to the acceptable range).
Official Key: 5.0 ➔
GATE AE 2015 • Q57
NAT • 2M
Subtopic: Range and Endurance of Jet & Propeller Aircraft
An aerospace system operating under standard sea level conditions is governed by Inlets, Combustors & Nozzles (Combustor Design & Flame Stabilization). Compute the required parameter in standard SI units (rounded off to the acceptable range).
Official Key: 1.365 ➔
GATE AE 2015 • Q58
NAT • 2M
Subtopic: Range and Endurance of Jet & Propeller Aircraft
An aerospace system operating under standard sea level conditions is governed by Rocket Propulsion (Solid, Liquid & Hybrid Rocket Engines). Compute the required parameter in standard SI units (rounded off to the acceptable range).
Official Key: 1005.0 ➔
GATE AE 2015 • Q64
NAT • 2M
Subtopic: Range and Endurance of Jet & Propeller Aircraft
An aerospace system operating under standard sea level conditions is governed by Aerospace Materials & Fatigue (Aluminum, Titanium & Aerospace Alloys). Compute the required parameter in standard SI units (rounded off to the acceptable range).
Official Key: 20.9 ➔
GATE AE 2014 • Q51
MCQ • 2M
Subtopic: Climb, Glide, Ceiling & Turn Performance
For a given airplane with a given wing loading executing a turn in the vertical plane, under what conditions will the turn radius be minimum and the turn rate be maximum?
Official Key: D ➔
GATE AE 2014 • Q55
NAT • 2M
Subtopic: Climb, Glide, Ceiling & Turn Performance
Data for a light, single-engine, propeller driven aircraft in steady level flight at sea-level is as follows: velocity V∞ = 40m/s, weight W = 13000N, lift coefficient CL = 0.65, drag coefficient CD = 0.025 + 0.04CL 2 and power available Pav = 100,000J/s. The rate of climb possible for this aircraft under the given conditions (in m/s) is
Official Key: 1875.0 ➔
GATE AE 2014 • Q57
NAT • 2M
Subtopic: Range and Endurance of Jet & Propeller Aircraft
An aerospace system operating under standard sea level conditions is governed by Inlets, Combustors & Nozzles (Combustor Design & Flame Stabilization). Compute the required parameter in standard SI units (rounded off to the acceptable range).
Official Key: 75.0 ➔
GATE AE 2014 • Q58
NAT • 2M
Subtopic: Range and Endurance of Jet & Propeller Aircraft
An aerospace system operating under standard sea level conditions is governed by Rocket Propulsion (Solid, Liquid & Hybrid Rocket Engines). Compute the required parameter in standard SI units (rounded off to the acceptable range).
Official Key: 6100.0 ➔
GATE AE 2012 • Q14
MCQ • 1M
Subtopic: Climb, Glide, Ceiling & Turn Performance
During the ground roll manoeuvre of an aircraft, the force(s) acting on it parallel to the direction of motion
Official Key: D ➔
GATE AE 2012 • Q15
MCQ • 1M
Subtopic: Climb, Glide, Ceiling & Turn Performance
An aircraft in a steady climb suddenly experiences a 10% drop in thrust. After a new equilibrium is reached at the same speed, the new rate of climb is
Official Key: B ➔
GATE AE 2012 • Q27
NAT • 1M
Subtopic: Climb, Glide, Ceiling & Turn Performance
An aircraft has a steady rate of climb of 300 m/s at sea level and 150 m/s at 2500 m altitude. The time taken (in sec) for this aircraft to climb from 500 m altitude to 3000 m altitude is ____.
Official Key: 13.5 ➔
GATE AE 2012 • Q39
MCQ • 2M
Subtopic: Range and Endurance of Jet & Propeller Aircraft
A vortex flowmeter works on the principle that the Strouhal number of 0.2 is a constant over a wide range of flow rates. If the bluff-body diameter in the flowmeter is 20 mm and the piezo-electric transducer registers the vortex shedding frequency to be 10 Hz, then the velocity of the flow would be measured as
Official Key: B ➔
GATE AE 2011 • Q13
MCQ • 1M
Subtopic: Climb, Glide, Ceiling & Turn Performance
In an un-powered glide of an aircraft having weight W, lift L and drag D, the equilibrium glide angle is defined as
Official Key: A ➔
GATE AE 2011 • Q14
MCQ • 1M
Subtopic: Climb, Glide, Ceiling & Turn Performance
In an un-powered glide of an aircraft having weight W, lift L and drag D, the equilibrium glide angle is defined as:
Official Key: B ➔
GATE AE 2011 • Q34
MCQ • 1M
Subtopic: Climb, Glide, Ceiling & Turn Performance
The stall speed of an airplane in steady level flight at sea level is V_s0. At an altitude where the density ratio is sigma = 0.25, the true stall speed is:
Official Key: C ➔
GATE AE 2011 • Q35
MCQ • 1M
Subtopic: Climb, Glide, Ceiling & Turn Performance
For an airplane in level turn at bank angle phi, the load factor n is given by:
Official Key: B ➔
GATE AE 2011 • Q39
MCQ • 2M
Subtopic: Climb, Glide, Ceiling & Turn Performance
AE 2011 AEROSPACE ENGINEERING - AE An aircraft with a mass of 5000 kg takes off from sea level with a forward speed of 50 m/s and starts to climb with a climb angle of 15o. The rate of climb and excess thrust available at the start of the climb respectively (assume g = 9.81 ms-2) are (A) 13.40 m/s and 13146.0 N (B) 12.94 m/s and 12694.1 N
Official Key: C ➔
GATE AE 2010 • Q48
MCQ • 2M
Subtopic: Range and Endurance of Jet & Propeller Aircraft
§ skilled workers can build a wall in 20 days; 8 semi-skilled workers can build a wall in 25 days; 10 unskilled workers can build a wall in 30 days. If a team has 2 skilled, & semi-skilled and 5 unskilled workers, how long will it take to build the wall?
Official Key: C ➔
GATE AE 2009 • Q11
MCQ • 1M
Subtopic: Climb, Glide, Ceiling & Turn Performance
A is the angle of attack, then dC mcG is da
Official Key: C ➔
GATE AE 2009 • Q16
MCQ • 1M
Subtopic: Climb, Glide, Ceiling & Turn Performance
Isp = 200 seconds, the thrust produced by the motor is approximately
Official Key: A ➔
GATE AE 2009 • Q18
MCQ • 1M
Subtopic: Climb, Glide, Ceiling & Turn Performance
Due to this pitching, the horizontal tail surface located 4 metres behind the centre-of-mass of the airplane will experience a change in angle of attack, which is
Official Key: B ➔
GATE AE 2009 • Q21
MCQ • 1M
Subtopic: Standard Atmosphere Properties
The velocity vector of an aircraft along its body-fixed axis is given by V = If V is the magnitude W of V, a is the angle of attack and B is the angle of sideslip, which of the following set of relations is correct ?
Official Key: D ➔
GATE AE 2009 • Q22
MCQ • 1M
Subtopic: Climb, Glide, Ceiling & Turn Performance
An aircraft of mass 2500 kg in straight and level flight at a constant speed of 100 m/s has available excess power of 1.0 x 10° W. The steady rate of climb it can attain at that speed is
Official Key: D ➔
GATE AE 2009 • Q30
MCQ • 1M
Subtopic: Climb, Glide, Ceiling & Turn Performance
0.025 m 0.025 m chord line 1 cm? 1 cm' 0.5 m The wing root bending moment in steady level flight is M, = 10 N-m. If the airplane flies at a load factor n = 3.5, the maximum bending stress at the root is
Official Key: D ➔
GATE AE 2008 • Q21
MCQ • 1M
Subtopic: Standard Atmosphere Properties
Suppose the non-constant functions F(x) and G(t) satisfy d'F dr + p'F= 0, dG dt +c p'G=0, where p and c are constants. Then the function u(x,t) = F(x)G(t) definitely satisfies d'u
Official Key: D ➔
GATE AE 2008 • Q28
MCQ • 1M
Subtopic: Climb, Glide, Ceiling & Turn Performance
V-n diagram, what is the minimum speed at which it should be designed to withstand the maximum vertical load factor of 9?
Official Key: A ➔
GATE AE 2007 • Q22
MCQ • 1M
Subtopic: Climb, Glide, Ceiling & Turn Performance
A spring-mass-damper system is excited by a force F, sinct. The amplitude at resonance is measured to be 1 cm. At half the resonant frequency, the amplitude is 0.5 cm. The damping ratio of the system is
Official Key: D ➔
GATE AE 2007 • Q58
MCQ • 2M
Subtopic: Climb, Glide, Ceiling & Turn Performance
If during the maximum rate of climb at 5 km altitude, the airplane was flying at an angle of attack of 4 degrees and attitude (pitch) angle of 5 degrees, what was equivalent airspeed of the airplane?
Official Key: A ➔