Questions 421–430 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 43 of 65

Question 21

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Velocity of an airplane in the body fixed axes is given as [100 -10 20] m/s. The sideslip angle is ______ degrees (round off to two decimal places).

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Question 22

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The similarity solution for the diffusion equation,

is

, where similarity variable,

. If

, the ratio

______ (round off to one decimal place).

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Question 23

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Air enters the rotor of an axial compressor stage with no pre-whirl (

) and exits the rotor with whirl velocity,

m/s. The velocity of rotor vanes,

is 200 m/s. Assuming

J/(kg K), the stagnation temperature rise across the rotor is ______ K (round off to one decimal place).

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Question 24

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A thin walled beam of constant thickness shown in the figure is subjected to a torque of 3.2 kNm. If the shear modulus is 25 GPa, the angle of twist per unit length is ______ rad/m (round off to three decimal places).
Diagram for Aerospace Engineering question 24


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Question 25

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An airplane of mass 5000 kg is flying at a constant speed of 360 km/h at the bottom of a vertical circle with a radius of 400 m, as shown in the figure. Assuming that the acceleration due to gravity is 9.8 m/s

, the load factor experienced at the center of gravity of the airplane is ______ (round off to two decimal places).
Diagram for Aerospace Engineering question 25


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Question 26

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The equation

, where

is a constant, represents a family of
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Question 27

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A wedge shaped airfoil is placed in a supersonic flow as shown in the figure (not to scale). The corners of the wedge are at

,

,

, respectively. Which one of the following represents the correct static pressure profiles along

and

?
Diagram for Aerospace Engineering question 27

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Question 28

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The value of Poisson’s ratio at which the shear modulus of an isotropic material is equal to the bulk modulus is
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Question 29

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A load

is applied to the free end of a stepped cantilever beam as shown in the figure. The Young’s modulus of the material is

, and the moments of inertia of the two sections of length 2 m and 1 m are

and

, respectively. Ignoring transverse shear and stress concentration effects, the deflection at the point where the load is applied at the free end of the cantilever is
Diagram for Aerospace Engineering question 29

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Question 30

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The three dimensional strain-stress relation for an isotropic material, written in a general matrix form, is



,

and

are compliances which depend on the elastic properties of the material. Which one of the following is correct?
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