GATE AE 2019 Paper 1 — page 15

Questions 43–45 of 65. Imported answers require review unless explicitly marked reviewed.

The curve

is such that its slope is equal to

for all real

. If the curve passes through

, the value of

is ______ (round off to 1 decimal place).

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The inviscid, incompressible flow field resulting from a uniform flow past a circular cylinder of radius

centered at the origin is given by:

Diagram for Aerospace Engineering question 34

where

and

are the radial and azimuthal velocity components in polar coordinates,

, as shown in the figure.

is the free stream speed. Ignore the effects of gravity. The azimuthal location (in the first quadrant) on the cylinder at which the pressure coefficient is zero is ______ degrees (round off to the nearest integer).

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A cylindrical container of radius

cm is filled with water up to a height

. Upon rotating the cylinder about its central axis at a constant angular speed, the free surface takes a parabolic shape (see figure), and is displaced upwards by

cm at

. The magnitude of the downward displacement

of the free surface at

is ______ cm (round off to the nearest integer).

Diagram for Aerospace Engineering question 35

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2019 · Paper 1

Question 33

Question 34

Question 35