Recent questions tagged gateme-2014-set1

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 _______

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 f...

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 san...

For the given assembly: $25 \: H7/g8$, match Group $A$ with Group $B$$$\begin{array}{|c|l|c|l|} \hline & \textbf{Group A} & & \textbf{Group B} \\ \hline P. & \text{H} & I...

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 degre...

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 t...

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 in...

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 ...

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 $1.4$ an...

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 (\dfr...

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 $x$ = $0$,...

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...

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 fac...

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 $0.001 \: kg/m.s$....

$1.5$ 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 proces...

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 Yo...

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 _____

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 $x = 10$, $f(15) =$ _____________ .

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 ...

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. Th...

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...

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...

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 ...

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 w...

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 a...

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 _______

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 co...

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 _____

In solid-state welding, the contamination layers between the surfaces to be welded are removed byalcoholplastic deformationwater jetsand blasting