GATE Aerospace engineering online test paper 3
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Question 1 of 15
It is desired to measure the Young’s modulus and the Poisson’s ratio of a given homogeneous, isotropic material. A bar of length 20cm and square cross-section (10mm× 10mm) of this material is subjected to a tensile load of 40kN. Under this load, length increases to 20.1cm while the cross section
reduces to 9.98mm× 9.98mm. Young’s modulus and Poisson’s ratio of the material are:Correct
Question 2 of 15
In general, for any given solid subjected to arbitrary loading, which of the following statements is always trueCorrect
Question 3 of 15
A damped single degree of freedom system whose undamped natural frequency,w=10Hz, is (select nearest ans) subjected to sinusoidal external force. Power is half of the maximum for the two frequencies of 60.9469 rad/s and 64.7168 rad/s. The damping factor associated with the vibrating system (in %) isCorrect
Question 4 of 15
The boundary conditions for a rod with circular cross section under torsional vibration are changed from fixed free to fixed fixed.The fundamental natural frequency of fixed fixed rod is k times that of fixed free rod.The value of k isCorrect
Question 5 of 15
Match the appropriate engine (in the right column) with the corresponding aircraft (in left column) for most efficient performance of the engine.
a.Low speed transport aircraft i. Ramjet
b. High subsonic civilian aircraft ii. Turboprop
c. Supersonic fighter aircraft iii. Turbojet
d. Hypersonic aircraft iv. Turbofan”Correct
Question 6 of 15
For a given fuel flow rate and thermal efficiency, the take-off thrust for a gas turbine engine burning aviation turbine fuel (considering fuel-air ratio f<<1) isCorrect
Question 7 of 15
For a fifty percent reaction axial compressor stage, following statements are given:
I. Velocity triangles at the entry and exit of the rotor are symmetrical
II. The whirl or swirl component of absolute velocity at the entry of rotor and entry of stator are same.
Which of the following options are correct?Correct
Question 8 of 15
A small rocket having a specific impulse of 200s produces a total thrust of 98kN, out of which 10kN is the pressure thrust. Considering the acceleration due to gravity to be 9.8m/s2, the propellant mass flow rate in kg/s isCorrect
Question 9 of 15
The thrust produced by a turbojet engineCorrect
Question 10 of 15
The vertical ground load factor on a stationary aircraft parked in its hanger isCorrect
Question 11 of 15
In most aeroplanes the dutch roll mode can be excited by applyingCorrect
Question 12 of 15
Considering R as the radius of the Moon the ratio of velocities of two aircraft orbting moon in circular orbit at altitudes R and 2R above the surface of moon is (select nearest ans)Correct
Question 13 of 15
A student can measure free-stream velocity of a low-speed wind tunnel using a
i. Pitot tube alone aligned with the flow direction.
ii. Pitot tube aligned with the flow direction with static pressure measurement at an appropriate position on the tunnel wall.
iii. Pitot tube aligned with the flow direction along with barometer pressure reading of the outside ambient.
iv. Pitot static tube alone aligned with the flow direction.
Considering the above statements, which of the following options is correct?Correct
Question 14 of 15
A gas cylinder (closed thin-walled cylindrical pressure vessel) of diameter 30cm and wall thickness 1mm is subjected to a design maximum internal pressure of 5bar (0.5MPa). The material used for manufacturing this cylinder has a failure stress of 260MPa. Assuming von Mises failure criterion,the factor of safety (with respect to maximum allowable stress) for this cylinder isCorrect
Question 15 of 15
A single degree of freedom system is vibrating with initial (first cycle) amplitude of 5cm.The viscous damping factor associated with the vibrating system is 2%. Vibration amplitude of fifth cycle (in cms) isCorrect