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GATE ME 2013 | Question: 31
A flywheel connected to a punching machine has to supply energy of $400 Nm$ while running at a mean angular speed of $20 rad/s$. If the total fluctuation of speed is not to exceed $±2%$, the mass moment of inertia of the flywheel in $kg$-$m^2$ is $25$ $50$ $100$ $125$
A flywheel connected to a punching machine has to supply energy of $400 Nm$ while running at a mean angular speed of $20 rad/s$. If the total fluctuation of speed is not ...
piyag476
1.4k
points
piyag476
asked
Feb 19, 2017
Applied Mechanics and Design
gateme-2013
applied-mechanics-and-design
theory-of-machines
flywheels-and-governors
+
–
0
answers
0
votes
GATE ME 2013 | Question: 30
A steel ball of diameter $60$ $mm$ is initially in thermal equilibrium at $1030^0C$ in a furnace. It is suddenly removed from the furnace and cooled in ambient air at $30^0C$, with convective heat transfer coefficient $h = 20 W/m^2K$. The thermo-physical ... required in seconds to cool the steel ball in air from $1030^0C$ to $430^0C$ is $519$ $931$ $1195$ $2144$
A steel ball of diameter $60$ $mm$ is initially in thermal equilibrium at $1030^0C$ in a furnace. It is suddenly removed from the furnace and cooled in ambient air at $30...
piyag476
1.4k
points
piyag476
asked
Feb 19, 2017
Heat Transfer
gateme-2013
fluid-mechanics-and-thermal-science
heat-transfer
+
–
0
answers
0
votes
GATE ME 2013 | Question: 29
Water is coming out from a tap and falls vertically downwards. At the tap opening, the stream diameter is $20$ $mm$ with uniform velocity of $2$ $m/s$. Acceleration due to gravity is $9.81$ $m/s^2$. Assuming steady, inviscid flow, constant atmospheric pressure ... effects, the diameter in mm of the stream $0.5$ $m$ below the tap is approximately $10$ $15$ $20$ $25$
Water is coming out from a tap and falls vertically downwards. At the tap opening, the stream diameter is $20$ $mm$ with uniform velocity of $2$ $m/s$. Acceleration due t...
piyag476
1.4k
points
piyag476
asked
Feb 19, 2017
Fluid Mechanics
gateme-2013
fluid-mechanics-and-thermal-science
fluid-mechanics
flow-through-pipes
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0
answers
0
votes
GATE ME 2013 | Question: 28
Specific enthalpy and velocity of steam at inlet and exit of a steam turbine, running under steady state, are as given below: ... in $kW$ by the steam turbine per $kg$ of steam flow rate, is $901.2$ $911.2$ $17072.5$ $17082.5$
Specific enthalpy and velocity of steam at inlet and exit of a steam turbine, running under steady state, are as given below:$\begin{array}{ccc} & \underline{Specific \: ...
piyag476
1.4k
points
piyag476
asked
Feb 19, 2017
Applications
gateme-2013
fluid-mechanics-and-thermal-science
applications
turbomachinery
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–
0
answers
0
votes
GATE ME 2013 | Question: 27
The function $f(t)$ satisfies the differential equation $\dfrac{d^2f}{dt^2}+f=0$ and the auxiliary conditions, $f(0)=0$, $\dfrac{d(f)}{d(t)}(0)=4$. The Laplace transform of $f(t)$is given by $\dfrac{2}{s+1} \\$ $\dfrac{4}{s+1} \\$ $\dfrac{4}{s^2+1} \\$ $\dfrac{2}{s^4+1}$
The function $f(t)$ satisfies the differential equation $\dfrac{d^2f}{dt^2}+f=0$ and the auxiliary conditions, $f(0)=0$, $\dfrac{d(f)}{d(t)}(0)=4$. The Laplace transform ...
piyag476
1.4k
points
piyag476
asked
Feb 19, 2017
Differential Equations
gateme-2013
differential-equation
laplace-transforms
+
–
0
answers
0
votes
GATE ME 2013 | Question: 26
The following surface integral is to be evaluated over a sphere for the given steady velocity vector field $F$ = $xi$ + $yj$+ $zk$ defined with respect to a Cartesian coordinate system having $i$, $j$ and $k$ ... is the outward unit normal vector to the sphere. The value of the surface integral is $\pi$ $2\pi$ $3\pi/4$ $4\pi$
The following surface integral is to be evaluated over a sphere for the given steady velocity vector field $F$ = $xi$ + $yj$+ $zk$ defined with respect to a Cartesian coo...
piyag476
1.4k
points
piyag476
asked
Feb 19, 2017
Calculus
gateme-2013
calculus
integrals
area-under-curve
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0
answers
0
votes
GATE ME 2013 | Question: 25
Choose the CORRECT set of functions, which are linearly dependent. $\sin x , \sin^2 x$ and $\cos^2 x$ $\cos x , \sin x$ and $\tan x$ $\cos 2x, \sin^2 x$ and $\cos^2 x$ $\cos 2x , \sin x$ and $cos x$
Choose the CORRECT set of functions, which are linearly dependent.$\sin x , \sin^2 x$ and $\cos^2 x$$\cos x , \sin x$ and $\tan x$$\cos 2x, \sin^2 x$ and $\cos^2 x$$\cos ...
piyag476
1.4k
points
piyag476
asked
Feb 19, 2017
Calculus
gateme-2013
calculus
functions
+
–
0
answers
0
votes
GATE ME 2013 | Question: 24
Let $X$ be a normal random variable with mean $1$ and variance $4$. The probability $P \left \{ X \right.<\left. 0 \right \}$ is $0.5$ greater than zero and less than $0.5$ greater than $0.5$ and less than $1.0$ $1.0$
Let $X$ be a normal random variable with mean $1$ and variance $4$. The probability $P \left \{ X \right.<\left. 0 \right \}$ is$0.5$greater than zero and less than $0.5...
piyag476
1.4k
points
piyag476
asked
Feb 19, 2017
Probability and Statistics
gateme-2013
probability-and-statistics
probability
random-variables
variance
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–
0
answers
0
votes
GATE ME 2013 | Question: 23
A planar closed kinematic chain is formed with rigid links $PQ$ = $2.0$ $m$, $QR$ = $3.0$ $m$, $RS$ = $2.5$ $m$ and $SP$ = $2.7$ $m$ with all revolute joints. The link to be fixed to obtain a double rocker (rockerrocker) mechanism is $PQ$ $QR$ $RS$ $SP$
A planar closed kinematic chain is formed with rigid links $PQ$ = $2.0$ $m$, $QR$ = $3.0$ $m$, $RS$ = $2.5$ $m$ and $SP$ = $2.7$ $m$ with all revolute joints. The link to...
piyag476
1.4k
points
piyag476
asked
Feb 19, 2017
Applied Mechanics and Design
gateme-2013
applied-mechanics-and-design
theory-of-machines
dynamic-analysis-of-linkages
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–
0
answers
0
votes
GATE ME 2013 | Question: 22
If two nodes are observed at a frequency of $1800$ $rpm$ during whirling of a simply supported long slender rotating shaft, the first critical speed of the shaft in $rpm$ is $200$ $450$ $600$ $900$
If two nodes are observed at a frequency of $1800$ $rpm$ during whirling of a simply supported long slender rotating shaft, the first critical speed of the shaft in $rpm$...
piyag476
1.4k
points
piyag476
asked
Feb 19, 2017
Applied Mechanics and Design
gateme-2013
applied-mechanics-and-design
machine-design
shafts
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–
0
answers
0
votes
GATE ME 2013 | Question: 21
A long thin walled cylindrical shell, closed at both the ends, is subjected to an internal pressure. The ratio of the hoop stress (circumferential stress) to longitudinal stress developed in the shell is $0.5$ $1.0$ $2.0$ $4.0$
A long thin walled cylindrical shell, closed at both the ends, is subjected to an internal pressure. The ratio of the hoop stress (circumferential stress) to longitudinal...
piyag476
1.4k
points
piyag476
asked
Feb 19, 2017
Applied Mechanics and Design
gateme-2013
applied-mechanics-and-design
mechanics-of-materials
testing-of-hardness
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–
0
answers
0
votes
GATE ME 2013 | Question: 20
A cylinder contains $5$ $m^3$ of an ideal gas at a pressure of $1$ $bar$. This gas is compressed in a reversible isothermal process till its pressure increases to $5$ $bar$. The work in $kJ$ required for this process is $804.7$ $953.2$ $981.7$ $1012.2$
A cylinder contains $5$ $m^3$ of an ideal gas at a pressure of $1$ $bar$. This gas is compressed in a reversible isothermal process till its pressure increases to $5$ $ba...
piyag476
1.4k
points
piyag476
asked
Feb 19, 2017
Applied Mechanics and Design
gateme-2013
applied-mechanics-and-design
mechanics-of-materials
testing-of-hardness
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–
0
answers
0
votes
GATE ME 2013 | Question: 19
Consider one-dimensional steady state heat conduction along $x$-axis ($0 \leq x \leq L$), through a planewall with the boundary surfaces ($x = 0$ and $x = L$) maintained at temperatures of $0^{\circ} C$ and $100^{\circ}C$. ... . The temperature distribution is linear within the wall. The temperature distribution is symmetric about the mid-plane of the wall.
Consider one-dimensional steady state heat conduction along $x$-axis ($0 \leq x \leq L$), through a planewall with the boundary surfaces ($x = 0$ and $x = L$) maintained...
piyag476
1.4k
points
piyag476
asked
Feb 19, 2017
Heat Transfer
gateme-2013
fluid-mechanics-and-thermal-science
heat-transfer
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–
0
answers
0
votes
GATE ME 2013 | Question: 18
In order to have maximum power from a Pelton turbine, the bucket speed must be equal to the jet speed. equal to half of the jet speed. equal to twice the jet speed. independent of the jet speed.
In order to have maximum power from a Pelton turbine, the bucket speed must beequal to the jet speed.equal to half of the jet speed.equal to twice the jet speed.independe...
piyag476
1.4k
points
piyag476
asked
Feb 19, 2017
Applications
gateme-2013
fluid-mechanics-and-thermal-science
applications
pelton-wheel
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–
0
answers
0
votes
GATE ME 2013 | Question: 17
For a ductile material, toughness is a measure of resistance to scratching ability to absorb energy up to fracture ability to absorb energy till elastic limit resistance to indentation
For a ductile material, toughness is a measure ofresistance to scratchingability to absorb energy up to fractureability to absorb energy till elastic limitresistance to i...
piyag476
1.4k
points
piyag476
asked
Feb 19, 2017
Engineering Materials
gateme-2013
materials-manufacturing-and-industrial-engineering
engineering-materials
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0
answers
0
votes
GATE ME 2013 | Question: 16
A cube shaped casting solidifies in $5$ $min$. The solidification time in min for a cube of the same material, which is $8$ times heavier than the original casting, will be $10$ $20$ $24$ $40$
A cube shaped casting solidifies in $5$ $min$. The solidification time in min for a cube of the same material, which is $8$ times heavier than the original casting, will ...
piyag476
1.4k
points
piyag476
asked
Feb 19, 2017
Casting, Forming and Joining Processes
gateme-2013
materials-manufacturing-and-industrial-engineering
casting-forming-and-joining-process
solidification
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–
0
answers
0
votes
GATE ME 2013 | Question: 15
A steel bar $200$ $mm$ in diameter is turned at a feed of $0.25$ $mm$/$rev$ with a depth of cut of $4$ $mm$. The rotational speed of the workpiece is $160$ $rpm$. The material removal rate in $mm^3$/$s$ is $160$ $167.6$ $1600$ $1675.5$
A steel bar $200$ $mm$ in diameter is turned at a feed of $0.25$ $mm$/$rev$ with a depth of cut of $4$ $mm$. The rotational speed of the workpiece is $160$ $rpm$. The mat...
piyag476
1.4k
points
piyag476
asked
Feb 19, 2017
Computer Integrated Manufacturing
gateme-2013
materials-manufacturing-and-industrial-engineering
computer-integrated-manufacturing
+
–
0
answers
0
votes
GATE ME 2013 | Question: 14
In simple exponential smoothing forecasting, to give higher weightage to recent demand information, the smoothing constant must be close to $-1$ $\text{zero}$ $0.5$ $1.0$
In simple exponential smoothing forecasting, to give higher weightage to recent demand information, the smoothing constant must be close to$-1$$\text{zero}$$0.5$$1.0$
piyag476
1.4k
points
piyag476
asked
Feb 19, 2017
Production, Planning and Control
gateme-2013
exponential-distributions
discrete-mathematics
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–
0
answers
0
votes
GATE ME 2013 | Question: 13
Customers arrive at a ticket counter at a rate of $50$ per $hr$ and tickets are issued in the order of their arrival. The average time taken for issuing a ticket is $1$ $min$. Assuming that customer arrivals form a Poisson process and service times are exponentially distributed, the average waiting time in queue in $min$ is $3$ $4$ $5$ $6$
Customers arrive at a ticket counter at a rate of $50$ per $hr$ and tickets are issued in the order of their arrival. The average time taken for issuing a ticket is $1$ $...
piyag476
1.4k
points
piyag476
asked
Feb 19, 2017
Materials, Manufacturing and Industrial Engineering
gateme-2013
materials-manufacturing-and-industrial-engineering
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–
0
answers
0
votes
GATE ME 2013 | Question: 12
A metric thread of pitch $2$ $mm$ and thread angle $60^{\circ}$ is inspected for its pitch diameter using $3$-wire method. The diameter of the best size wire in $mm$ is $0.866$ $1.000$ $1.154$ $2.000$
A metric thread of pitch $2$ $mm$ and thread angle $60^{\circ}$ is inspected for its pitch diameter using $3$-wire method. The diameter of the best size wire in $mm$ is$0...
piyag476
1.4k
points
piyag476
asked
Feb 19, 2017
Materials, Manufacturing and Industrial Engineering
gateme-2013
materials-manufacturing-and-industrial-engineering
metrology-and-inspection
alignment-and-testing-methods
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–
0
answers
0
votes
GATE ME 2013 | Question: 11
Match the CORRECT pairs: ... $P-4; Q-2; R-3; S-1$ $P-2; Q-3; R-4; S-1$ $P-2; Q-4; R-1; S-3$
Match the CORRECT pairs:$\begin{array}{llll} & \text{Process} & & \text{Characteristics/Applications} \\ P. & \text{Friction Welding} & 1. & \text{Non-consumable electrod...
piyag476
1.4k
points
piyag476
asked
Feb 19, 2017
Materials, Manufacturing and Industrial Engineering
gateme-2013
materials-manufacturing-and-industrial-engineering
casting-forming-and-joining-process
principles-of-welding
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–
0
answers
0
votes
GATE ME 2013 | Question: 10
In a rolling process, the state of stress of the material undergoing deformation is pure compression pure shear compression and shear tension and shear
In a rolling process, the state of stress of the material undergoing deformation ispure compressionpure shearcompression and sheartension and shear
piyag476
1.4k
points
piyag476
asked
Feb 19, 2017
Materials, Manufacturing and Industrial Engineering
gateme-2013
materials-manufacturing-and-industrial-engineering
casting-forming-and-joining-process
load
-estimation-for-bulk-rolling
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–
0
answers
0
votes
GATE ME 2013 | Question: 9
Consider one-dimensional steady state heat conduction, without heat generation, in a plane wall; with boundary conditions as shown in the figure below. The conductivity of the wall is given by $k$ = $k_0$ + $bT$ ; where $k_0$ and $b$ are positive ... $x$ increases, the temperature gradient ( $dT$/ $dx$ ) will remain constant be zero increase decrease
Consider one-dimensional steady state heat conduction, without heat generation, in a plane wall; with boundary conditions as shown in the figure below. The conductivity o...
piyag476
1.4k
points
piyag476
asked
Feb 19, 2017
Heat Transfer
gateme-2013
fluid-mechanics-and-thermal-science
heat-transfer
heat-conduction
+
–
0
answers
0
votes
GATE ME 2013 | Question: 8
The pressure, dry bulb temperature and relative humidity of air in a room are $1$ bar, $30^{\circ} C$ and $70\%$, respectively. If the saturated steam pressure at $30^{\circ} C$ is $4.25$ $kPa$, the specific humidity of the room air in $kg$ water $\text{vapour/kg}$ dry air is $0.0083$ $0.0101$ $0.0191$ $0.0232$
The pressure, dry bulb temperature and relative humidity of air in a room are $1$ bar, $30^{\circ} C$ and $70\%$, respectively. If the saturated steam pressure at $30^{\c...
piyag476
1.4k
points
piyag476
asked
Feb 19, 2017
Heat Transfer
gateme-2013
fluid-mechanics-and-thermal-science
heat-transfer
+
–
0
answers
0
votes
GATE ME 2013 | Question: 7
For steady, fully developed flow inside a straight pipe of diameter $D$, neglecting gravity effects, the pressure drop $\Delta p$ over a length $L$ and the wall shear stress $\tau _\omega$ are related by $\tau _\omega =\dfrac{\Delta pD}{4L} \\$ $\tau _\omega =\dfrac{\Delta pD^2}{4L^2} \\$ $\tau _\omega =\dfrac{\Delta pD}{2L} \\$ $\tau _\omega =\dfrac{4\Delta p L}{D}$
For steady, fully developed flow inside a straight pipe of diameter $D$, neglecting gravity effects, the pressure drop $\Delta p$ over a length $L$ and the wall shear st...
piyag476
1.4k
points
piyag476
asked
Feb 19, 2017
Applied Mechanics and Design
gateme-2013
applied-mechanics-and-design
mechanics-of-materials
shear-stress
+
–
0
answers
0
votes
GATE ME 2013 | Question: 6
A link $OB$ is rotating with a constant angular velocity of $2$ $rad$/$s$ in counter clockwise direction and a block is sliding radially outward on it with an uniform velocity of $0.75$ $m$/$s$ with respect to the rod, as shown in the figure below. If $OA$ = $1$ $m$, the magnitude of the absolute acceleration of the block at location $A$ in $m$/$s^2$ is $3$ $4$ $5$ $6$
A link $OB$ is rotating with a constant angular velocity of $2$ $rad$/$s$ in counter clockwise direction and a block is sliding radially outward on it with an uniform vel...
piyag476
1.4k
points
piyag476
asked
Feb 19, 2017
Theory of Machines
gateme-2013
velocity-and-acceleration-analysis
theory-of-machines
applied-mechanics-and-design
+
–
0
answers
0
votes
GATE ME 2013 | Question: 5
Two threaded bolts $A$ and $B$ of same material and length are subjected to identical tensile load. If the elastic strain energy stored in bolt $A$ is $4$ times that of bolt $B$ and the mean diameter of bolt $A$ is $12$ $mm$, the mean diameter of bolt $B$ in $mm$ is $16$ $24$ $36$ $48$
Two threaded bolts $A$ and $B$ of same material and length are subjected to identical tensile load. If the elastic strain energy stored in bolt $A$ is $4$ times that of b...
piyag476
1.4k
points
piyag476
asked
Feb 19, 2017
Applied Mechanics and Design
gateme-2013
applied-mechanics-and-design
mechanics-of-materials
+
–
0
answers
0
votes
GATE ME 2013 | Question: 4
A rod of length $L$ having uniform cross-sectional area $A$ is subjected to a tensile force $P$ as shown in the figure below. If the Young's modulus of the material varies linearly from $E_1$ to $E_2$ along the length of the rod, the normal stress developed at the section-$SS$ ... $\dfrac{P(E_1-E_2)}{A(E_1+E_2)} \\$ $\dfrac{PE_2}{AE_1} \\$ $\dfrac{PE_1}{AE_2}$
A rod of length $L$ having uniform cross-sectional area $A$ is subjected to a tensile force $P$ as shown in the figure below. If the Young’s modulus of the material var...
piyag476
1.4k
points
piyag476
asked
Feb 19, 2017
Mechanics of Materials
gateme-2013
applied-mechanics-and-design
mechanics-of-materials
youngs-modulus
+
–
0
answers
0
votes
GATE ME 2013 | Question: 3
Match the CORRECT pairs: ... $P-2; Q-1; R-3$ $P-3; Q-2; R-1$ $P-1; Q-2; R-3$ $P-3; Q-1; R-2$
Match the CORRECT pairs:$\begin{array}{llll} & \text{Numerical Integration Scheme} & & \text{Order of Fitting Polynomial} \\ P. & \text{Simpson's 3/8 Rule} & 1. & \text{F...
piyag476
1.4k
points
piyag476
asked
Feb 19, 2017
Numerical Methods
gateme-2013
numerical-methods
integration-by-trapezoidal-and-simpsons-rule
+
–
0
answers
0
votes
GATE ME 2013 | Question: 2
The eigen values of a symmetric matrix are all complex with non-zero positive imaginary part. complex with non-zero negative imaginary part. real. pure imaginary.
The eigen values of a symmetric matrix are allcomplex with non-zero positive imaginary part.complex with non-zero negative imaginary part.real.pure imaginary.
piyag476
1.4k
points
piyag476
asked
Feb 19, 2017
Linear Algebra
gateme-2013
linear-algebra
matrices
eigen-values
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–
0
answers
0
votes
GATE ME 2013 | Question: 1
The partial differential equation $\dfrac{\partial u }{\partial t}+u\dfrac{\partial u}{\partial x}=\dfrac{\partial^2 u}{\partial x^2}$ is a linear equation of order $2$ non-linear equation of order $1$ linear equation of order $1$ non-linear equation of order $2$
The partial differential equation $\dfrac{\partial u }{\partial t}+u\dfrac{\partial u}{\partial x}=\dfrac{\partial^2 u}{\partial x^2}$ is alinear equation of order $2$no...
piyag476
1.4k
points
piyag476
asked
Feb 19, 2017
Differential Equations
gateme-2013
differential-equation
partial-differential-equation
+
–
1
answers
–1
votes
GATE Mechanical 2023 | Question: 42
A steel sample with $1.5 \; \mathrm{wt}. \%$ carbon (no other alloying elements present) is slowly cooled from $1100^{\circ} \mathrm{C}$ ... the total cementite content in the microstructure that develops just below the eutectoid temperature is ___________. (Rounded off to two decimal places)
A steel sample with $1.5 \; \mathrm{wt}. \%$ carbon (no other alloying elements present) is slowly cooled from $1100^{\circ} \mathrm{C}$ to just below the eutectoid tempe...
admin
4.4k
points
admin
asked
May 21, 2023
Others
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