GATE AE topic:flight-mechanics PYQs & Answers — Page 4

Questions 31–40 of 650. Imported answers require independent review unless marked reviewed.

An aircraft starts gliding in power-off condition at an altitude of 4 km. Given that the maximum lift to drag ratio of the aircraft is 15, the maximum glide range that the aircraft can cover, measured along the ground, is ________ km (rounded off to the nearest integer).

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If a matrix can be written as

, where both

and

are

-dimensional real-valued non-zero column vectors, then the rank of the matrix A is ________ (answer in integer).

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The response

of a freely vibrating single degree of freedom underdamped system is given below. In the equation, A and

are constants. The damping ratio of the system is ________ (rounded off to 3 decimal places).

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The vortex shedding frequency behind a landing gear model is found to be 50 Hz when tested in a wind tunnel operating at 5 m/s. If the actual landing gear size is 10 times that of the model, and it is designed to operate at 50 m/s, then the expected vortex shedding frequency behind it is ________ Hz (rounded off to the nearest integer).

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An elliptic wing has a span of 6 m and a planform area of 6 m

. When generating a lift coefficient of 0.6, the induced drag it incurs is ________

(rounded off to 1 decimal place).

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An earth satellite has the instantaneous position vector

and velocity vector

as given below. Here

and

denote the unit vectors along the x and y axes of the perifocal frame, respectively. Assume that the value of gravitational parameter is 398600 km

. Which one of the following trajectories does the satellite follow?

Your answerChoose one option.

Circle

Hyperbola

Parabola

Straight line

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For the matrix

, if the relation

holds and

, then which one of the following statements about

is FALSE?

Your answerChoose one option.

is an eigenvector

is an eigenvalue

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In an ideal turbofan engine shown in the figure below, the compressor is driven by the high pressure turbine, and the fan is driven by the low pressure turbine. The stations 0, 2, 3, 4, 4.5 and 5 refer to free-stream, compressor inlet, compressor outlet, combustor exit, high pressure turbine exit, and low pressure turbine exit, respectively, and the subscript ‘t’ refers to the total condition. Also,

and

. The total temperature ratio of the high pressure turbine (

) is given by ______.

Diagram for Aerospace Engineering question 38

Your answerChoose one option.

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An ideal rocket has characteristic exhaust velocity of 1200 m/s, mass flow rate of 75 kg/s, thrust coefficient of 1.5, and nozzle throat area of 0.025 m

. The chamber pressure in kPa and the specific impulse due to gravity in seconds are ______, respectively. Assume that the acceleration due to gravity is 9.8 m/s

Your answerChoose one option.

3600 and 183.67

4600 and 190.51

3600 and 175.23

3500 and 183.67

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Consider a unit square body as shown in the figure below. The body is subjected to the deformation field

and

, where ‘a’ is a constant. Due to the application of this deformation field, the body undergoes ______ in the x-y plane.

Diagram for Aerospace Engineering question 40

Your answerChoose one option.

biaxial deformation

pure shear

pure bending

rigid body rotation

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GATE AE topic:flight-mechanics PYQs

Question 31

Question 32

Question 33

Question 34

Question 35

Question 36

Question 37

Question 38

Question 39

Question 40