GATE AE format:nat PYQs & Answers — Page 10 — Exam Papers

Questions 91–100 of 266. Imported answers require independent review unless marked reviewed.

Topic practice 266 questionsPage 10 of 27

The maximum permissible load factor and the maximum lift force coefficient for an airplane is 7 and 2, respectively. For a wing loading of 650 N/m

and air density 1.23 kg/m

, the speed yielding the highest possible turn rate in the vertical plane is __________ m/s. (round off to the nearest integer)

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A gas turbine combustor is burning methane and air at an equivalence ratio

, where

and

is the ratio of mass flow rate of fuel to the mass flow rate of air at stoichiometry. If the air flow rate is

kg/s then the mass flow rate of methane is _____ kg/s. (round off to two decimal places)

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The universal gravitational constant is

Nm

/kg

. For a planet of mass

kg and radius 3390 km, the escape velocity is _____ km/s. (round off to one decimal place).

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A satellite is in a circular orbit around Earth with a time period of 90 minutes. The radius of Earth is 6370 km, mass of Earth is

kg and the universal gravitational constant is

Nm

/kg

. The altitude of the satellite above mean sea level is ___ km. (round off to the nearest integer)

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A centrifugal air compressor has inlet root diameter of 0.25 m and the outlet diameter of the impeller is 0.6 m. The pressure ratio is 5.0. The air at the inlet of the rotor is at 1 atm and 25°C. The polytropic efficiency is 0.8 and slip factor is 0.92. Use

kJ/kg-K and

. The impeller speed in revolutions per minute (RPM) is __________. (round off to the nearest integer)

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Consider a cryogenic liquid rocket engine using an expander cycle with liquid hydrogen and liquid oxygen as the two propellants. The mass flow rate of hydrogen

into the combustion chamber is 32 kg/s, and the mass flow rate of oxygen

into the chamber is such that

. The combustion of hydrogen and oxygen is at stoichiometry. Assuming that the rate of the forward reaction is much larger than that of the reverse reaction, the rate of formation of H

O is __________ kmol/s. (round off to the nearest integer)

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The arc length of the parametric curve:

from

to

is equal to ______ (round off to one decimal place).

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An unpowered glider is flying at a glide angle of 10 degrees. Its lift-to-drag ratio is ______________ (round off to two decimal places).

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The two-dimensional plane-stress state at a point is:

The normal stress,

, on a plane inclined 45° as shown in the figure is ___

(round off to the nearest integer).

Diagram for Aerospace Engineering question 33

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In a static test, a turbofan engine with bypass ratio of 9 has core hot exhaust speed 1.5 times that of fan exhaust speed. The engine is operated at a fuel to air ratio of

. Both the fan and the core streams have no pressure thrust. The ratio of fan thrust to thrust from the core engine is _____ (round off to one decimal place).

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