Engineering Sciences
GATE XE Integral Analysis for a Control Volume PYQs
Build your understanding with focused practice from past exam papers.
Questions 11–18 of 18. Imported answers require independent review unless marked reviewed.
Question 41
Open questionXE-BNAT2 marksNeeds review
Consider a cart of mass 10 kg placed on an inclined plane (angle of inclination 60° with horizontal) as shown in the figure. A turning vane of negligible weight is mounted on the cart. A horizontal steady water jet is issued from a stationary nozzle of area 0.1 m
and strikes the turning vane as shown in the figure. The vane turns the jet downward parallel to the inclined plane. Find out the minimum jet velocity (in m/s) which will not allow the cart to come down. Neglect friction, consider density of water = 1000 kg/m
and acceleration due to gravity = 10 m/s
.
(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 9
Open questionXE-BNAT1 markNeeds review
A spherical ball is steadily supported against gravity by an upward air jet as shown in the figure. Take acceleration due to gravity to be
. The mass flow rate of air, reaching the ball, is 0.01 kg/s and the air reaches the ball at an upward velocity of 3 m/s. Neglecting the buoyancy force, and using the principle of integral momentum balance, the mass (in grams, up to one decimal place) of the ball is ____. 
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 18
Open questionXE-BNAT2 marksNeeds review
Water (density = 10
kg/m
) enters steady into a horizontal pipe bend, which is part of a larger piping system, as shown in the figure. The volumetric flow rate of water is 0.1 m
/s. The gage pressure at the inlet is 500 kPa, while the exit is open to atmosphere. The
-component of the force on the support is
. The absolute value of
(in kN, up to one decimal place) is ___. 
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 19
Open questionXE-BNAT2 marksNeeds review
Air (of density 0.5 kg/m
) enters horizontally into a jet engine at a steady speed of 200 m/s through an inlet area of 1.0 m
. Upon entering the engine, the air passes through the combustion chamber and the exhaust gas exits the jet engine horizontally at a constant speed of 700 m/s. The fuel mass flow rate added in the combustion chamber is negligible compared to the air mass flow rate. Also neglect the pressure difference between the inlet air and the exhaust gas. The absolute value of the horizontal force (in kN, up to one decimal place) on the jet engine is__________.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 20
Open questionXE-BNAT2 marksNeeds review
A water jet with velocity
impinges normal to a moving flat plate with velocity
such that the jet splits equally into two halves as shown in Figure. The jet cross-sectional area is 2 cm
,
is 20 m/s and
is 10 m/s and density of water is 1000 kg/m
. Consider steady flow and neglect weight of the jet, weight of the plate and frictional loss.The absolute value of the force required to keep the plate moving at constant velocity
is ______ N.
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 21
Open questionXE-BNAT2 marksNeeds review
An incompressible fluid flows past a flat plate as shown in the figure below with a uniform inlet velocity profile
and a parabolic exit velocity profile
, where
is the component of velocity parallel to the wall,
is the normal distance from the plate and
. If the volume flow rate across the top surface of the control volume (CV) is
per unit width (perpendicular to the
-
plane) of the plate, the value of
(rounded off to 2 decimal places) is ______. 
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 22
Open questionXE-BNAT2 marksNeeds review
A jet engine is to be tested on a thrust stand as shown in the figure below. The conditions prevailing in a typical test are as follows: Axial intake air velocity = 100 m/s; axial exhaust gas velocity = 250 m/s; intake cross-sectional area = 1 m
; intake static pressure =
kPa (gauge); exhaust static pressure = 0 kPa (gauge); mass flow rate through the engine = 100 kg/s. The anchoring force (in kN) in axial direction on the thrust stand is ______. 
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 14
Open questionXE-BNAT2 marksNeeds review
A water jet of 100 mm diameter issuing out of a nozzle at a speed of 50 m/s strikes a vane and flows along it as shown in figure. The vane is attached to a cart which is moving at a constant speed of 20 m/s on a frictionless track. The jet is deflected at an angle of 30°. Take the density of water as 1000 kg/m
. Neglecting the friction between the vane and the fluid, the magnitude of the force exerted by water on the cart in the x-direction, in N, is _____. 
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 answer