Questions 41–50 of 65. Imported answers require independent review unless marked reviewed.

Topic practice 65 questionsPage 5 of 7

Question 41

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Consider a launch vehicle of mass 10 tons being launched vertically. The vehicle has 8 tons of propellant, which burns completely at a constant rate over 50 s. If the engine specific impulse is 250 s, and the acceleration due to gravity at sea level is

, the acceleration experienced by the vehicle at lift-off is ______.
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Question 42

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The figure below shows a compressor stage with station numbers 1, 2, and 3 as indicated. If

,

, and

refer to the average values of total pressure, total temperature, and absolute flow speed, respectively, at the

station, select the CORRECT option considering loss.
Diagram for Aerospace Engineering question 42

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Question 43

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An experimental study is planned to map out the low-Reynolds number incompressible steady two-dimensional aerodynamic characteristics of a promising novel airfoil. The operational parameters of the problem are the speed, density and viscosity of the freestream, the chord of the airfoil and its angle of attack. If the objective is to achieve this with the minimum number of test runs

while taking 10 equally-spaced test values of each independent parameter of the problem in a suitable range, then

is ______.
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Question 44

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Which of the following process(es) is/are involved in the compression of air in an ideal ramjet engine?
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Question 45

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The deformation of an open-section bar subjected to pure torsion can be solved by choosing an appropriate Prandtl stress function. Which of the following statements is/are true about the Prandtl stress function?
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Question 46

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The figure below shows the velocity triangles at the inlet and outlet of the rotor of a low hub-to-tip ratio axial compressor at the mid-span of the blade. The absolute and relative velocities of the flow are denoted by C and W, respectively. The subscripts 1 and 2 refer to the locations before and after the rotor, respectively. The blade velocity is denoted by U. Select the CORRECT statement(s) for this device.
Diagram for Aerospace Engineering question 46

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Question 47

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Consider the flow over an oval modeled using the elementary potential flows as shown below.

represents uniform flow velocity and

represents circulation around an irrotational line vortex.
Diagram for Aerospace Engineering question 47

Which of the following statements is/are TRUE for this model?
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Question 48

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What is/are the use(s) of the single horseshoe vortex model of finite wing aerodynamic theory?
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Question 49

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Consider the differential equation with the initial conditions given below. If

is the solution of the equation, the value of the slope,

, at

is ________ (rounded off to three decimal places).

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Question 50

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An object of mass 1 kg is launched with an initial speed of

into a large tank filled with a viscous liquid. The liquid exerts a resistive force (drag) of the form

on any object that is moving inside it, where

is the instantaneous speed of the object and

kg/s. If the effect of gravity is ignored, the time taken by the object to slow down to the speed

is ________ s (rounded off to 2 decimal places).
Assume that the tank is sufficiently large for the above deceleration to happen inside the tank.

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