GATE AE topic:aerodynamics PYQs & Answers — Page 11

Questions 101–110 of 650. Imported answers require independent review unless marked reviewed.

A lifting surface has a spanwise circulation distribution of

(where

) over its span

, and

is the spanwise coordinate. Furthermore, the downwash varies along the span as

, where

is the free stream velocity. Which one of the following options represents total lift (

) and induced drag (

Your answerChoose one option.

and

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A 1 m long rod is to be designed to support an axial tensile load

(

weight of the rod). The material for the rod is to be chosen from one of the four provided in the table. Using strength-based failure criterion for design, which material results in the lowest weight of the rod?

Properties	Material α	Material β	Material γ	Material δ
Density (kg/m )	2700	450	780	900
Young’s modulus (GPa)	70	115	200	130
Yield Strength (MPa)	270	900	520	540

Your answerChoose one option.

Material α

Material β

Material γ

Material δ

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A general aviation airplane is initially in steady and level flight. The stability coefficient

(

is the airplane pitching moment coefficient and

is the pitch rate) is negative. The airplane is perturbed with a small nose-up constant pitch rate. Assume that the horizontal tail does not stall during the perturbation, and instead effects are neglected. When compared to steady and level flight condition, which of the following statements is/are true during the perturbed motion?

Your answerSelect all correct options. You can choose more than one.

The angle of attack of the horizontal tail increases.

The contribution of the horizontal tail to the airplane’s pitching moment about the center of gravity is more stabilizing.

The lift generated by the horizontal tail increases.

The contribution of the horizontal tail to the airplane’s pitching moment about the center of gravity is less stabilizing.

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A general aviation airplane is gliding with a speed

at minimum glide angle. Which of the following statements is/are true?

Your answerSelect all correct options. You can choose more than one.

is equal to the speed corresponding to the maximum lift to drag ratio of the airplane.

increases with decreasing wing loading when all other parameters remain constant.

increases with decreasing altitude when all other parameters remain constant.

increases with increasing altitude when all other parameters remain constant.

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The maximum value of the function

in the domain

occurs at

(rounded off to two decimal places).

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(answer in integer).

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The equation of a closed curve in two-dimensional polar coordinates is given by

. The area enclosed by the curve is

(answer in integer).

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Consider the ordinary differential equation:

. If

, then the value of

(rounded off to the nearest integer).

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An approximate solution of the equation

is to be obtained using the Newton-Raphson method. If the initial guess is

, the value at the end of the first iteration is

(rounded off to two decimal places).

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and

denote unit vectors in the

and

directions, respectively. The outward flux of the two-dimensional vector field

over the unit circle centered at the origin is

(rounded off to two decimal places).

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GATE AE topic:aerodynamics PYQs

Question 36

Question 37

Question 38

Question 39

Question 40

Question 41

Question 42

Question 43

Question 44

Question 45