Engineering Sciences
2022 · Paper 1
Take it one question at a time. Try an answer, then check your understanding.
Complete GATE XE 2022 Paper 1 overview, original pages and practice · Timed previous-paper practice
Questions 37–39 of 175. Imported answers require review unless explicitly marked reviewed.
Question 37
Open questionXE-BNAT2 marksNeeds review
Consider two-dimensional turbulent flow of air over a horizontal flat plate of length 1 m. Skin friction coefficient at a length
from the leading edge of the plate is obtained as:
where,
is the local Reynolds number.
Find out the drag force per unit width (in N/m
) on the plate if the free stream air velocity is 10 m/s.
Density and dynamic viscosity of air are given as 1.2 kg/m
and
N-s/m
, respectively.
(Round off to three decimal places)Log in to check the answer
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Open questionXE-BNAT2 marksNeeds review
For an inviscid fluid with density 1 kg/m
, the Cartesian velocity field is given as:
Neglecting the body forces, find the magnitude of pressure gradient (in Pa/m) at
at
.
(Round off to two decimal places)Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 39
Open questionXE-BNAT2 marksNeeds review
Consider a lawn sprinkler with horizontal arms of radius,
cm which has water introduced vertically through the centre, as shown in the figure. The exit area of the jet is 25 cm
and the jet velocity is 1 m/s. The water is ejected orthogonal to the sprinkler arm and the jet makes an angle of 60° with the horizontal plane. Find the torque (in N-m) required to hold the sprinkler stationary.
Consider water density 1000 kg/m
. Neglect the effects of friction and gravity.
(Round off to two decimal places) 
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