GATE AE branch:ae PYQs & Answers — Page 52 — Exam Papers

Questions 511–520 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 52 of 65

The specific impulse of a rocket engine is 300 Ns/kg. The mass of the rocket at burnout is 1000 kg. The propellant consumed in the process is 720 kg. Assume all factors contributing to velocity loss to be negligible. The change in vehicle velocity

is ______ km/s (round off to 2 decimal places).

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The combustion products of a gas turbine engine can be assumed to be a calorically perfect gas with

. The pressure ratio across the turbine stage is 0.14. The measured turbine inlet and exit stagnation temperatures are 1200 K and 900 K, respectively. The total-to-total turbine efficiency is ______ % (round off to the nearest integer).

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The figure shows the velocity triangles for an axial compressor stage. The specific work input to the compressor stage is ______ kJ/kg (round off to 2 decimal places).

Diagram for Aerospace Engineering question 48

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As shown in the figure, a rigid slab CD of weight

(distributed uniformly along its length) is hung from a ceiling using three cables of identical length and cross-sectional area. The central cable is made of steel (Young’s modulus =

) and the other two cables are made of aluminium (Young’s modulus =

). The percentage of the total weight taken by the central cable is _____ % (round off to the nearest integer).

Diagram for Aerospace Engineering question 49

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All the bars in the given truss are elastic with Young’s modulus 200 GPa, and have identical cross-sections with moment of inertia 0.1 cm

. The lowest value of the load

at which the truss fails due to buckling is _____ kN (round off to the nearest integer).

Diagram for Aerospace Engineering question 50

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A solid circular shaft is designed to transmit a torque

with a factor of safety of 2. It is proposed to replace the solid shaft by a hollow shaft of the same material and identical outer radius. If the inner radius is half the outer radius, the factor of safety for the hollow shaft is _____ (round off to 1 decimal place).

Diagram for Aerospace Engineering question 51

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In the structure shown in the figure, bars AB and BC are made of identical material and have circular cross-sections of 10 mm radii. The yield stress of the material under uniaxial tension is 280 MPa. Using the von Mises yield criterion, the maximum load along the

-direction (perpendicular to the plane of paper) that can be applied at C, such that AB does not yield is _____ N (round off to the nearest integer).

Diagram for Aerospace Engineering question 52

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A thin-walled tube, with the cross-section shown in the figure, is subjected to a torque of

kN-m. The walls have uniform thickness

mm and shear modulus

GPa. Assume that the curved portion is semi-circular. The shear stress in the wall is _____ MPa (round off to 1 decimal place).

Diagram for Aerospace Engineering question 53

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For a damped spring-mass system, mass

kg, stiffness

N/m, and damping coefficient

kg/s. The ratio of the amplitude of oscillation of the first cycle to that of the fifth cycle is _____ (round off to 1 decimal place).

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For the system of springs and masses shown below,

N/m and

kg. The highest natural frequency,

, of the system is _____ radians/s (round off to the nearest integer).

Diagram for Aerospace Engineering question 55

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