GATE AE format:nat PYQs & Answers — Page 2

Questions 11–20 of 266. Imported answers require independent review unless marked reviewed.

Topic practice 266 questionsPage 2 of 27

For an airfoil section the pitch moment coefficient is determined about a reference point that is 0.3 times the chord behind the leading edge. It varies with the lift coefficient as shown in the table below. The distance of the aerodynamic center from the leading edge of the airfoil as a fraction of the chord is ________ (rounded off to one decimal place).

	0.2	0.4	0.6	0.8
	−0.02	0	0.02	0.04

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An earth satellite moves in an elliptical orbit with a perigee altitude of 300 km and an apogee altitude of 3000 km. Assume that the radius of the earth is 6378 km. The eccentricity of the orbit is ________ (rounded off to three decimal places).

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Consider a finite wing of aspect ratio 10 with span effectiveness factor 0.95. Its airfoil section has a lift slope of 0.106 per degree and a zero-lift angle of attack of −1.5°. The lift coefficient of the wing at an angle of attack of 3.5° is ________ (rounded off to 2 decimal places).

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and

are the respective maximum take-off weights of an aircraft for two ambient air conditions given below.

Condition A:

bar,

°C; Condition B:

bar,

°C

If all other parameters relevant for take-off are kept the same in these two conditions, the ratio

is ________ (rounded off to 3 decimal places).

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A thin-walled circular tube is made of a material whose magnitude of the ultimate strength, both in tension and compression, is 200 MPa. The mean radius of the tube is 0.2 m and the wall thickness is 0.004 m. Based on the maximum stress criteria, the maximum torque that the tube can sustain is ________ kN-m (round off to the nearest integer).

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A system comprising a bar, spring and mass is shown in the figure below. The bar, having negligible mass, is made of a material having Young’s modulus

GPa, cross-sectional area

mm², and length

mm. The spring stiffness

kN/mm and the mass

kg. The natural frequency of free vibration of the system is ________ rad/s (rounded off to the nearest integer).

Diagram for Aerospace Engineering question 59

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A stepped cantilever beam, made of a material having Young’s modulus

GPa, is shown in the figure below. The length and the moment of inertia of the beam from point A to B are

mm and

, respectively. The length and the moment of inertia of the beam from point B to C are

mm and

, respectively. A shear force

N is applied at point A of the beam. The magnitude of the deflection of the beam at point A is ________ mm (rounded off to 1 decimal place).

Diagram for Aerospace Engineering question 60

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A centrifugal compressor has a constant-width radial diffuser. The diameters at the diffuser inlet and outlet are 0.2 m and 0.3 m, respectively. The flow at the diffuser inlet and outlet is assumed to be steady and uniform. The average velocity at the diffuser inlet and outlet are

m/s and

m/s, respectively. If the flow through the diffuser is treated as steady and incompressible, the value of

is ________ (rounded off to the nearest integer).

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A gas mixture at a pressure of 800 kPa and a density of 5 kg/m

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).

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Thin airfoil theory predicts the zero-lift angle of attack

of NACA 2412 airfoil as

. The corresponding prediction of

for NACA 5410 airfoil is ________ degrees (rounded off to 1 decimal place).

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GATE AE format:nat PYQs

Question 54

Question 55

Question 56

Question 57

Question 58

Question 59

Question 60

Question 61

Question 62

Question 63