GATE AE year:2024 PYQs & Answers — Page 7

Questions 61–65 of 65. Imported answers require independent review unless marked reviewed.

Topic practice 65 questionsPage 7 of 7

For an aircraft moving at 4 km altitude above mean sea level at a Mach number of 0.2, the ratio of equivalent air speed to true air speed is ________ (rounded off to 2 decimal places).

The density of air at mean sea level is 1.225 kg/m

and at 4 km altitude is 0.819 kg/m

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For a general aviation airplane, one of the complex conjugate pair of eigenvalues for longitudinal dynamics is given by

(in SI units). If the system is disturbed to excite only this mode, the time taken for the amplitude of response to become half in magnitude is ________ s (rounded off to 1 decimal place).

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The figure (not to scale) shows a control volume to estimate the forces on the airfoil with elliptic cross-section. Surfaces 2 and 3 are streamlines. Velocity profiles are measured at the upstream end (surface 1) and at the downstream end (surface 4) of the control volume. The drag coefficient for the airfoil is defined as

, where D is the drag force on the airfoil per unit span and

is the density of the air. The static pressure,

, is constant over the entire surface of the control volume. Assuming the flow to be incompressible, two-dimensional and steady, the

for the airfoil is ________ (rounded off to 3 decimal places).

Diagram for Aerospace Engineering question 63

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An airplane of mass 1000 kg is in a steady level flight with a speed of 50 m/s. The wing has an elliptic planform with a span of 20 m and planform area 31.4 m

. Assuming the density of air at the altitude to be 1 kg/m

and acceleration due to gravity to be 10 m/s

, the induced drag on the wing is ________ N (rounded off to 1 decimal place).

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It is desired to estimate the aerodynamic drag, D, on a car travelling at a speed of 30 m/s. A one-third scale model of the car is tested in a wind-tunnel following the principles of dynamic similarity. The drag on the scaled model is measured to be

. The ratio

is ________ (rounded off to 1 decimal place).

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GATE AE year:2024 PYQs

Question 61

Question 62

Question 63

Question 64

Question 65