GATE AE kind:question PYQs & Answers — Page 6

Questions 51–60 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 6 of 65

The minimum value of the function

for real

is ________ (rounded off to 1 decimal place).

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Isobutane (C₄H₁₀) is burnt completely in pure oxygen as per the reaction given below. Given that the standard heats of formation (in kcal/mole) of isobutane, carbon dioxide, and water vapour are −31.49, −94.052, and −60.150, respectively, the heat of reaction is ________ kcal (rounded off to 2 decimal places).

C₄H₁₀ + 6.5 O₂ → 4 CO₂ + 5 H₂O

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A furnace of 250 MW rating is used to melt and raise the temperature of aluminum from 25 °C to 900 °C. Aluminum has a solid-state specific heat, latent heat, and liquid-state specific heat of 0.9 kJ/kg-K, 390 kJ/kg, and 1.08 kJ/kg-K, respectively, and the furnace has 70% efficiency. The melting point of aluminum is 660 °C. The amount of aluminum that can be processed per hour is ________ kg (rounded off to 1 decimal place).

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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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GATE AE kind:question PYQs

Question 51

Question 52

Question 53

Question 54

Question 55

Question 56

Question 57

Question 58

Question 59

Question 60