Recent questions tagged gateme-2014-set1

0 answers

0 votes

GATE Mechanical 2014 Set 1 | Question: 54
If the Taylor’s tool life exponent $n$ is $0.2$, and the tool changing time is $1.5$ $min$, then the tool life (in $min$) for maximum production rate is _______

Arjun asked in Mechanics of Materials Feb 19, 2017

by Arjun

27.5k points

0 answers

0 votes

GATE Mechanical 2014 Set 1 | Question: 50
Jobs arrive at a facility at an average rate of $5$ in an $8$ hour shift. The arrival of the jobs follows Poisson distribution. The average service time of a job on the facility is $40$ minutes. The service time follows exponential distribution. Idle time (in hours) at the ... be $\dfrac{5}{7} \\$ $\dfrac{14}{3} \\$ $\dfrac{7}{5} \\$ $\dfrac{10}{3}$

Arjun asked in Probability and Statistics Feb 19, 2017

by Arjun

27.5k points

0 answers

0 votes

GATE Mechanical 2014 Set 1 | Question: 55
An aluminium alloy (density $2600$ $kg$/$m^3$) casting is to be produced. A cylindrical hole of $100$ $mm$ diameter and $100$ $mm$ length is made in the casting using sand core (density $1600$ $kg$/$m^3$). The net buoyancy force (in newton) acting on the core is _______

Arjun asked in Mechanics of Materials Feb 19, 2017

by Arjun

27.5k points

0 answers

0 votes

GATE Mechanical 2014 Set 1 | Question: 53
For the given assembly: $25 \: H7/g8$, match Group $A$ with Group $B$ ... $P-I, Q-IV, R-III, S-II$ $P-II, Q-III, R-IV, S-I$ $P-II, Q-IV, R-III, S-I$

Arjun asked in Applied Mechanics and Design Feb 19, 2017

by Arjun

27.5k points

0 answers

0 votes

GATE Mechanical 2014 Set 1 | Question: 52
During pure orthogonal turning operation of a hollow cylindrical pipe, it is found that the thickness of the chip produced is $0.5$ $mm$. The feed given to the zero degree rake angle tool is $0.2$ $mm/rev$. The shear strain produced during the operation is _______

Arjun asked in Mechanics of Materials Feb 19, 2017

by Arjun

27.5k points

0 answers

0 votes

GATE Mechanical 2014 Set 1 | Question: 51
A metal rod of initial length $L_0$ is subjected to a drawing process. The length of the rod at any instant is given by the expression, $L(t)=L_0(1+t^2)$ , where $t$ is the time in minutes. The true strain rate (in $min^{−1}$) at the end of one minute is _______

Arjun asked in Engineering Materials Feb 19, 2017

by Arjun

27.5k points

0 answers

0 votes

GATE Mechanical 2014 Set 1 | Question: 49
An ideal reheat Rankine cycle operates between the pressure limits of $10 \: kPa$ and $8 \: MPa$, with reheat being done at $4 \: MPa$. The temperature of steam at the inlets of both turbines is $500^ \circ C$ and the enthalpy ... Disregarding the pump work, the cycle efficiency (in percentage) is _______

Arjun asked in Applications Feb 19, 2017

by Arjun

27.5k points

0 answers

0 votes

GATE Mechanical 2014 Set 1 | Question: 48
A reversible heat engine receives $2$ $kJ$ of heat from a reservoir at $1000$ $K$ and a certain amount of heat from a reservoir at $800$ $K$. It rejects $1$ $kJ$ of heat to a reservoir at $400$ $K$. The net work output (in $kJ$) of the cycle is $0.8$ $1.0$ $1.4$ $2.0$

Arjun asked in Heat Transfer Feb 19, 2017

by Arjun

27.5k points

0 answers

0 votes

GATE Mechanical 2014 Set 1 | Question: 47
In an air-standard Otto cycle, air is supplied at $0.1$ $MPa$ and $308$ $K$. The ratio of the specific heats $(γ)$ and the specific gas constant $(R)$ of air are $1.4$ and $288.8$ $J/kg.K$, respectively. If the compression ratio is $8$ and the maximum temperature in the cycle is $2660$ $K$, the heat (in $kJ/kg$) supplied to the engine is _______

Arjun asked in Heat Transfer Feb 19, 2017

by Arjun

27.5k points

0 answers

0 votes

GATE Mechanical 2014 Set 1 | Question: 46
The non-dimensional fluid temperature profile near the surface of a convectively cooled flat plate is given by $\dfrac{T_W-T}{T_W-T_\infty }=a+b\dfrac{y}{L}+c \left (\dfrac{y}{L} \right)^2$ , where $y$ is measured perpendicular to the plate, $L$ is the plate ... Nusselt number $Nu=\dfrac{{q}''}{T_W-T_\infty }\dfrac{L}{k}$ is equal to $a$ $b$ $2c$ $(b+2c)$

Arjun asked in Fluid Mechanics Feb 19, 2017

by Arjun

27.5k points

0 answers

0 votes

GATE Mechanical 2014 Set 1 | Question: 45
In a simple concentric shaft-bearing arrangement, the lubricant flows in the $2$ $mm$ gap between the shaft and the bearing. The flow may be assumed to be a plane Couette flow with zero pressure gradient. The diameter of the shaft is $100$ $mm$ and ... $0.1$ $kg/m.s$. The frictional resisting force (in newton) per $100$ $mm$ length of the bearing is _______

Arjun asked in Machine Design Feb 19, 2017

by Arjun

27.5k points

0 answers

0 votes

GATE Mechanical 2014 Set 1 | Question: 44
For a fully developed flow of water in a pipe having diameter $10$ $cm$, velocity $0.1$ $m/s$ and kinematic viscosity $10^{−5}$ $m^2$/$s$, the value of Darcy friction factor is _______

Arjun asked in Fluid Mechanics Feb 19, 2017

by Arjun

27.5k points

0 answers

0 votes

GATE Mechanical 2014 Set 1 | Question: 43
Water flows through a pipe having an inner radius of $10 mm$ at the rate of $36 \: kg/hr$ at $25^ \circ C$. The viscosity of water at $25^ \circ C$ is $0.001 \: kg/m.s$. The Reynolds number of the flow is _______

Arjun asked in Fluid Mechanics Feb 19, 2017

by Arjun

27.5k points

0 answers

0 votes

GATE Mechanical 2014 Set 1 | Question: 42
Consider one dimensional steady state heat conduction across a wall (as shown in figure below) of thickness $30$ $mm$ and thermal conductivity $15$ $W/m.K$. At $x$ = $0$, a constant heat flux, ${q}''$ = $1 105$ $W$/$m^2$ is applied. On the other ... $250$ $W$/$m^2.K$. The temperature (in $°C$), at $x$ = $0$ is _______

Arjun asked in Heat Transfer Feb 19, 2017

by Arjun

27.5k points

0 answers

0 votes

GATE Mechanical 2014 Set 1 | Question: 41
$1.5$ kg of water is in saturated liquid state at $2$ bar $(vf = 0.001061 \: m^3/kg, uf = 504.0 \: kJ/kg,$ $hf = 505 kJ/kg$). Heat is added in a constant pressure process till the temperature of water reaches $400^ \circ C (v = 1.5493 \: m^3/kg, u = 2967.0 kJ/kg,$ $h = 3277.0 \: kJ/kg)$. The heat added (in $kJ$) in the process is _______

Arjun asked in Heat Transfer Feb 19, 2017

by Arjun

27.5k points

0 answers

0 votes

GATE Mechanical 2014 Set 1 | Question: 40
A $200$ mm long, stress free rod at room temperature is held between two immovable rigid walls. The temperature of the rod is uniformly raised by $250^\circ C$. If the Young's modulus and coefficient of thermal expansion are $200$ GPa ... , respectively, the magnitude of the longitudinal stress (in MPa) developed in the rod is _______

Arjun asked in Fluid Mechanics Feb 19, 2017

by Arjun

27.5k points

0 answers

0 votes

GATE Mechanical 2014 Set 1 | Question: 29
Using the trapezoidal rule, and dividing the interval of integration into three equal subintervals, the definite integral $\int_{-1}^{+1} \mid x \mid dx$ is _____

Arjun asked in Numerical Methods Feb 19, 2017

by Arjun

27.5k points

0 answers

0 votes

GATE Mechanical 2014 Set 1 | Question: 27
If $y = f(x)$ is the solution of $\dfrac{d^2y}{dx^2}=0$ with the boundary conditions y = $5$ at $x = 0$ and $\dfrac{dy}{dx}=2$ at $x = 10$, $f(15) =$ _____________ .

Arjun asked in Calculus Feb 19, 2017

by Arjun

27.5k points

1 answer

0 votes

GATE Mechanical 2014 Set 1 | Question: 28
In the following table, $x$ is a discrete random variable and $p(x)$ is the probability density. The standard deviation of $x$ is $\begin{array}{|c|c|c|c|} \hline x & 1 & 2 & 3 \\ \hline p(x) & 0.3 & 0.6 & 0.1 \\ \hline \end{array}$ $0.18$ $0.36$ $0.54$ $0.60$

Arjun asked in Probability and Statistics Feb 19, 2017

by Arjun

27.5k points

0 answers

0 votes

GATE Mechanical 2014 Set 1 | Question: 39
A hydrodynamic journal bearing is subject to $2000$ N load at a rotational speed of $2000$ rpm. Both bearing bore diameter and length are $40$ mm. If radial clearance is µm and bearing is lubricated with an oil having viscosity $0.03$ $P_{a.s}$, the Sommerfeld number of the bearing is ______

Arjun asked in Applied Mechanics and Design Feb 19, 2017

by Arjun

27.5k points

0 answers

0 votes

GATE Mechanical 2014 Set 1 | Question: 38
A rigid uniform rod $AB$ of length $L$ and mass $m$ is hinged at $C$ such that $AC = L/3$, $CB = 2L/3$. Ends $A$ and $B$ are supported by springs of spring constant k. The natural frequency of the system is given by $\sqrt{\dfrac{k}{2m}} \\$ $\sqrt{\dfrac{k}{m}} \\$ $\sqrt{\dfrac{2k}{m} } \\$ $\sqrt{\dfrac{5k}{m}}$

Arjun asked in Applied Mechanics and Design Feb 19, 2017

by Arjun

27.5k points

0 answers

0 votes

GATE Mechanical 2014 Set 1 | Question: 37
An offset slider-crank mechanism is shown in the figure at an instant. Conventionally, the Quick Return Ratio (QRR) is considered to be greater than one. The value of QRR is _______

Arjun asked in Applied Mechanics and Design Feb 19, 2017

by Arjun

27.5k points

0 answers

0 votes

GATE Mechanical 2014 Set 1 | Question: 36
A slider crank mechanism has slider mass of $10$ kg, stroke of $0.2$ m and rotates with a uniform angular velocity of $10$ rad/s. The primary inertia forces of the slider are partially balanced by a revolving mass of $6$ kg at the ... angle (with respect to slider axis) is $30^\circ$, the unbalanced force (in newton) normal to the slider axis is _____

Arjun asked in Applied Mechanics and Design Feb 19, 2017

by Arjun

27.5k points

0 answers

0 votes

GATE Mechanical 2014 Set 1 | Question: 35
A block weighing $200 N$ is in contact with a level plane whose coefficients of static and kinetic friction are $0.4$ and $0.2$, respectively. The block is acted upon by a horizontal force (in newton) $P=10t$, where $t$ denotes the time in seconds. The velocity (in $m/s$) of the block attained after $10$ seconds is _______

Arjun asked in Applied Mechanics and Design Feb 19, 2017

by Arjun

27.5k points

0 answers

0 votes

GATE Mechanical 2014 Set 1 | Question: 34
An ideal water jet with volume flow rate of $0.05$ $m^3$/$s$ strikes a flat plate placed normal to its path and exerts a force of $1000$ $N$. Considering the density of water as $1000kg$/$m^3$,the diameter(in $mm$) of the water jet is _______

Arjun asked in Fluid Mechanics Feb 19, 2017

by Arjun

27.5k points

0 answers

0 votes

GATE Mechanical 2014 Set 1 | Question: 33
Consider a cantilever beam, having negligible mass and uniform flexural rigidity, with length $0.01$ $m$. The frequency of vibration of the beam, with a $0.5$ $kg$ mass attached at the free tip, is $100$ $Hz$. The flexural rigidity (in $N$.$m^2$) of the beam is _______

Arjun asked in Applied Mechanics and Design Feb 19, 2017

by Arjun

27.5k points

0 answers

0 votes

GATE Mechanical 2014 Set 1 | Question: 32
A pair of spur gears with module $5$ $mm$ and a center distance of $450$ $mm$ is used for a speed reduction of $5:1$. The number of teeth on pinion is _______

Arjun asked in Applied Mechanics and Design Feb 19, 2017

by Arjun

27.5k points

0 answers

0 votes

GATE Mechanical 2014 Set 1 | Question: 31
A block R of mass $100$ kg is placed on a block S of mass $150$ kg as shown in the figure. Block R is tied to the wall by a massless and inextensible string PQ .If the coefficient of static friction for all surfaces is $0.4$, the minimum force F (in $kN$) needed to move the block S is . $0.69$ $0.88$ $0.98$ $1.37$

Arjun asked in Fluid Mechanics Feb 19, 2017

by Arjun

27.5k points

0 answers

0 votes

GATE Mechanical 2014 Set 1 | Question: 30
The state of stress at a point is given by $\sigma _x=-6 MPa$ ,$\sigma _y=4 MPa$ and $\tau _{xy}=-8 MPa$.The maximum tensile stress in (MPa) at the point is _____

Arjun asked in Applied Mechanics and Design Feb 19, 2017

by Arjun

27.5k points

0 answers

0 votes

GATE Mechanical 2014 Set 1 | Question: 26
The integral $\oint_{c}^{ } (ydx-xdy)$ is evaluated along the circle $x^2+y^2=\frac{1}{4}$ traversed in counter clockwise direction. The integral is equal to $0$ $\frac{-\pi }{4}$ $\frac{-\pi }{2}$ $\frac{\pi }{4}$

Arjun asked in Calculus Feb 19, 2017

by Arjun

27.5k points

0 answers

0 votes

GATE Mechanical 2014 Set 1 | Question: 18
The jobs arrive at a facility, for service, in a random manner. The probability distribution of number of arrivals of jobs in a fixed time interval is Normal Poisson Erlang Beta

Arjun asked in Probability and Statistics Feb 19, 2017

by Arjun

27.5k points

0 answers

0 votes

GATE Mechanical 2014 Set 1 | Question: 25
In solid-state welding, the contamination layers between the surfaces to be welded are removed by alcohol plastic deformation water jet sand blasting

Arjun asked in Applied Mechanics and Design Feb 19, 2017

by Arjun

27.5k points

0 answers

0 votes

GATE Mechanical 2014 Set 1 | Question: 24
The process of reheating the martensitic steel to reduce its brittleness without any significant loss in its hardness is normalising annealing quenching tempering

Arjun asked in Mechanics of Materials Feb 19, 2017

by Arjun

27.5k points

0 answers

0 votes

GATE Mechanical 2014 Set 1 | Question: 23
The main cutting force acting on a tool during the turning (orthogonal cutting) operation of a metal is $400$ $N$. The turning was performed using $2$ $mm$ depth of cut and $0.1$ $mm/rev$ feed rate. The specific cutting pressure (in $N$/$mm^2$) is $1000$ $2000$ $3000$ $4000$

Arjun asked in Materials, Manufacturing and Industrial Engineering Feb 19, 2017

by Arjun

27.5k points

0 answers

0 votes

GATE Mechanical 2014 Set 1 | Question: 22
The major difficulty during welding of aluminum is due to its high tendency of oxidation high thermal conductivity low melting point low density

Arjun asked in Materials, Manufacturing and Industrial Engineering Feb 19, 2017

by Arjun

27.5k points

0 answers

0 votes

GATE Mechanical 2014 Set 1 | Question: 21
Which one of the following instruments is widely used to check and calibrate geometric features of machine tools during their assembly? Ultrasonic probe Coordinate Measuring Machine (CMM) Laser interferometer Vernier calipers

Arjun asked in Materials, Manufacturing and Industrial Engineering Feb 19, 2017

by Arjun

27.5k points

0 answers

0 votes

GATE Mechanical 2014 Set 1 | Question: 20
For machining a rectangular island represented by coordinates $P(0,0), Q(100,0), R(100,50)$ and $S(0,50)$ on a casting using CNC milling machine, an end mill with a diameter of $16$ $mm$ ... $(0,0), (100,0), (100,50), (50,0), (0,0)$

Arjun asked in Materials, Manufacturing and Industrial Engineering Feb 19, 2017

by Arjun

27.5k points

0 answers

0 votes

GATE Mechanical 2014 Set 1 | Question: 19
In exponential smoothening method, which one of the following is true? $0 \leq \alpha \leq 1$ and high value of $\alpha$ is used for stable demand $0 \leq \alpha \leq 1$ and high value of $α$ is used for unstable demand $\alpha \geq 1$ and high value of $\alpha$ is used for stable demand $\alpha \geq 0$ and high value of $\alpha$ is used for unstable demand

Arjun asked in Fluid Mechanics Feb 19, 2017

by Arjun

27.5k points

0 answers

0 votes

GATE Mechanical 2014 Set 1 | Question: 17
Which one of the following is a CFC refrigerant? $R744$ $R290$ $R502$ $R718$

Arjun asked in Materials, Manufacturing and Industrial Engineering Feb 19, 2017

by Arjun

27.5k points

0 answers

0 votes

GATE Mechanical 2014 Set 1 | Question: 16
In a power plant, water (density = $1000$ $kg$/$m^3$) is pumped from $80$ $kPa$ to $3$ $MPa$. The pump has an isentropic efficiency of $0.85$. Assuming that the temperature of the water remains the same, the specific work (in $kJ$/$kg$) supplied to the pump is $0.34$ $2.48$ $2.92$ $3.43$

Arjun asked in Fluid Mechanics Feb 19, 2017

by Arjun

27.5k points

Recent questions tagged gateme-2014-set1

Recent Posts