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Aerospace Engineering

2022 · Paper 1

Take it one question at a time. Try an answer, then check your understanding.

Complete GATE AE 2022 Paper 1 overview, original pages and practice · Timed previous-paper practice

Questions 55–57 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 19 of 22

Question 55

Open question
AENAT2 marksNeeds review
A convergent-divergent nozzle with adiabatic walls is designed for an exit Mach number of 2.3. It is discharging air to atmosphere under the conditions indicated in the figure.
Flow through the nozzle is inviscid, the characteristic gas constant for air is 287 J/(kg-K), and

.
When the reservoir pressure is 25 bar (absolute), and temperature is 300 K, Prandtl-Meyer expansion waves appear at the nozzle exit as shown.
The minimum percentage change in the reservoir pressure required to eliminate the wave system at the nozzle exit under steady state is ______ %.
Diagram for Aerospace Engineering question 55


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Question 56

Open question
AENAT2 marksNeeds review
A conventional airplane of mass 500 kg is doing a level turn of radius 1000 m at a constant speed of 100 m/s at sea level.
Taking the acceleration due to gravity as 10 m/s

, the bank angle of the airplane is __________ degrees.

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Question 57

Open question
AENAT2 marksNeeds review
Given: The tip deflection and tip slope for a tip loaded cantilever of length

are:

and

, respectively, where

is the tip force and

is the flexural rigidity.
A cantilever

of rectangular cross-section is subjected to transverse load,

, at its mid-point. Two cases are considered as shown in the figure. In Case I, the end

is free and in Case II,

is simply supported.
The ratio of the magnitude of the maximum bending stress at

in Case I to that in Case II is ______ (rounded off to one decimal place).
Diagram for Aerospace Engineering question 57


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