Hot questions in Materials, Manufacturing and Industrial Engineering / GO Mechanical

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GATE2017 ME-1: 50
Assume that the surface roughness profile is triangular as shown schematically in the figure. If the peak to valley height is $20 \mu m$, the central line average surface roughness $R_{a}$ (in $\mu m$) is $5$ $6.67$ $10$ $20$

Assume that the surface roughness profile is triangular as shown schematically in the figure. If the peak to valley height is $20 \mu m$, the central line average surface...

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GATE2017 ME-2: 48
A product made in two factories, $P$ and $Q$, is transported to two destinations, $R$ and $S$ ... the minimum) total transportation cost is $Y$ (in Rupees), then $(X-Y)$, in Rupees, is $0$ $15$ $35$ $105$

A product made in two factories, $P$ and $Q$, is transported to two destinations, $R$ and $S$. The per unit costs of transportation (in Rupees) from factories to destinat...

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GATE2017 ME-2: 49
A project starts with activity $A$ and ends with activity $F$ ... The minimum project completion time (in days) is _________.

A project starts with activity $A$ and ends with activity $F$. The precedence relation and durations of the activities are as per the following table:$$\begin{array}{|l|l...

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GATE2017 ME-1: 49
Circular arc on a part profile is being machined on a vertical CNC milling machine. CNC part program using metric units with absolute dimensions is listed below: ... The coordinates of the centre of the circular arc are: $(30, 55)$ $(50, 55)$ $(50, 35)$ $(30, 35)$

Circular arc on a part profile is being machined on a vertical CNC milling machine. CNC part program using metric units with absolute dimensions is listed below:$\begin{a...

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GATE2017 ME-2: 11
A machine component made of a ductile material is subjected to a variable loading with $\sigma _{\text{min}}=-50$ MPa and $\sigma _{\text{max}}=-50$ MPa. If the corrected endurance limit and the yield strength for the material are $\sigma '_{e}=100$ MPa and $\sigma _{y}=300$ MPa, respectively, the factor of safety is ________.

A machine component made of a ductile material is subjected to a variable loading with $\sigma _{\text{min}}=-50$ MPa and $\sigma _{\text{max}}=-50$ MPa. If the corrected...

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GATE2017 ME-1: 53
A block of length $200$ mm is machined by a slab milling cutter $34$ mm in diameter. The depth of cut and table feed are set at $2$ mm and $18$ mm/minute, respectively. Considering the approach and the over travel of the cutter to be same, the minimum estimated machining time per pass is ________ minutes.

A block of length $200$ mm is machined by a slab milling cutter $34$ mm in diameter. The depth of cut and table feed are set at $2$ mm and $18$ mm/minute, respectively. C...

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GATE2017 ME-1: 55
Two cutting tools with tool life equations given below are being compared: Tool $1$: $VT^{0.1}=150$ Tool $2$: $VT^{0.3}=300$ where $V$ is cutting speed in m/minute and $T$ is tool life in minutes. The breakeven cutting speed beyond which Tool $2$ will have a higher tool life is ________ m/minute.

Two cutting tools with tool life equations given below are being compared:Tool $1$: $VT^{0.1}=150$Tool $2$: $VT^{0.3}=300$where $V$ is cutting speed in m/minute and $T$ i...

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GATE2017 ME-1: 23
In an arc welding process, welding speed is doubled. Assuming all other process parameters to be constant, the cross-sectional area of the weld bead will Increase by $25\%$ Increase by $50\%$ Reduce by $25\%$ Reduce by $50\%$

In an arc welding process, welding speed is doubled. Assuming all other process parameters to be constant, the cross-sectional area of the weld bead will Increase by $25\...

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GATE2017 ME-1: 54
A sprue in a sand mould has a top diameter of $20 \: mm$ and height of $200$ mm. The velocity of the molten metal at the entry of the sprue is $0.5 \: m/s$. Assume acceleration due to gravity as $9.8 \: m/s^{2}$ and neglect all losses. If the mould is well ventilated, the velocity (upto $3$ decimal points accuracy) of the molten metal at the bottom of the sprue is _________ $m/s$

A sprue in a sand mould has a top diameter of $20 \: mm$ and height of $200$ mm. The velocity of the molten metal at the entry of the sprue is $0.5 \: m/s$. Assume accele...

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GATE2017 ME-2: 20
Which one of the following statements is TRUE for the ultrasonic machining (USM) process? In USM, the tool vibrates at subsonic frequency. USM does not employ magnetostrictive transducer. USM is an excellent process for machining ductile materials. USM often uses a slurry comprising abrasive-particles and water.

Which one of the following statements is TRUE for the ultrasonic machining (USM) process?In USM, the tool vibrates at subsonic frequency.USM does not employ magnetostrict...

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GATE2017 ME-2: 25
It is desired to make a product having $T$-shaped cross-section from a rectangular aluminium block. Which one of the following processes is expected to provide the highest strength of the product? Welding Casting Metal forming Machining

It is desired to make a product having $T$-shaped cross-section from a rectangular aluminium block. Which one of the following processes is expected to provide the highes...

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GATE2017 ME-2: 54
During the turning of a $20$ mm- diameter steel bar at a spindle speed of $400$ rpm, a tool life of $20$ minute is obtained. When the same bar is turned at $200$ rpm, the tool life becomes $60$ minute. Assume that Taylor's tool life equation is valid. When the bar is turned at $300$ rpm, the tool life (in minute) is approximately. $25$ $32$ $40$ $50$

During the turning of a $20$ mm- diameter steel bar at a spindle speed of $400$ rpm, a tool life of $20$ minute is obtained. When the same bar is turned at $200$ rpm, the...

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GATE2017 ME-2: 55
In an orthogonal machining with a tool of $9^{\circ}$ orthogonal rake angle, the uncut chip thickness is $0.2$ mm. The chip thickness fluctuates between $0.25$ mm and $0.4$ mm. The ratio of the maximum shear angle to the minimum shear angle during machining is ___________.

In an orthogonal machining with a tool of $9^{\circ}$ orthogonal rake angle, the uncut chip thickness is $0.2$ mm. The chip thickness fluctuates between $0.25$ mm and $0....

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GATE2017 ME-1: 24
Metric thread of $0.8$ mm pitch is to be cut on a lathe. Pitch of the lead screw is $1.5$ mm. If the spindle rotates at $1500$ rpm, the speed of rotation of the lead screw (rpm) will be ________.

Metric thread of $0.8$ mm pitch is to be cut on a lathe. Pitch of the lead screw is $1.5$ mm. If the spindle rotates at $1500$ rpm, the speed of rotation of the lead scre...

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GATE2015-1-30
In the assembly shown below, the part dimensions are: $L_1 = 22.0^{\pm 0.01} \: mm$, $L_2 = L_3$ = $10.0^{\pm 0.005} \: mm$. Assuming the normal distribution of part dimensions, the dimension $L_4$ in $mm$ for assembly condition would be: $2 .0^{\pm 0.008}$ $2 .0^{\pm 0.012}$ $2 .0^{\pm 0.016}$ $2 .0^{\pm 0.020}$

In the assembly shown below, the part dimensions are:$L_1 = 22.0^{\pm 0.01} \: mm$,$L_2 = L_3$ = $10.0^{\pm 0.005} \: mm$.Assuming the normal distribution of part dimens...

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GATE2017 ME-1: 22
Match the processes with their characteristics: ... $P-3, Q-2, R-1, S-4$ $P-3, Q-2, R-4, S-1$ $P-2, Q-4, R-3, S-1$

Match the processes with their characteristics:$\begin{array}{|l|l|l|} \hline & \textbf{Process} & & \textbf{Characteristics} \\ \hline P. & \text{Electrical Discharge Ma...

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GATE2017 ME-1: 52
Following data refers to the jobs $(P, Q, R, S)$ which have arrived at a machine for scheduling. The shortest possible average flow time is __________ days. $\begin{array}{|l|l|} \hline \text{Job} & \text{Processing Time (days)} \\ \hline P & 15 \\ \hline Q & 9 \\ \hline R & 22 \\ \hline S & 12 \\ \hline \end{array}$

Following data refers to the jobs $(P, Q, R, S)$ which have arrived at a machine for scheduling. The shortest possible average flow time is __________ days.$$\begin{array...

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GATE2017 ME-1: 51
Two models, $P$ and $Q$, of a product, earn profits of Rs.$100$ and Rs. $80$ per piece, respectively. Production times for $P$ and $Q$ are $5$ hours and $3$ hours, respectively, while the total production time available is $150$ hours. For a total batch size of $40$, to maximise profit, the number of units of $P$ to be produced is ________.

Two models, $P$ and $Q$, of a product, earn profits of Rs.$100$ and Rs. $80$ per piece, respectively. Production times for $P$ and $Q$ are $5$ hours and $3$ hours, respec...

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GATE2015-1-35
An orthogonal turning operation is carried out under the following conditions: rake angle = $5^{\circ}$; spindle rotational speed = $400 \text{ rpm}$; axial feed = $0.4 \text{ m/min}$ and radial depth of cut = $5 \text{ mm}$. The chip thickness, $t_c$, is found to be $3 \text{ mm}$. The shear angle (in degrees) in this turning process is_____

An orthogonal turning operation is carried out under the following conditions: rake angle = $5^{\circ}$; spindle rotational speed = $400 \text{ rpm}$; axial feed = $0.4 \...

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GATE2015-2-21
The primary mechanism of material removal in electrochemical machining (ECM) is chemical corrosion etching ionic dissolution spark erosion

The primary mechanism of material removal in electrochemical machining (ECM) ischemical corrosionetchingionic dissolutionspark erosion

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GATE2015-1-25
The function of interpolator in a CNC machine controller is to control spindle speed coordinate feed rates of axes control tool rapid approach speed perform Miscellaneous (M) functions (tool change, coolant control etc.)

The function of interpolator in a CNC machine controller is tocontrol spindle speedcoordinate feed rates of axescontrol tool rapid approach speedperform Miscellaneous (M)...

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GATE2015-2-51
During a TIG welding process, the arc current and arc voltage were $50$ $A$ and $60$ $V$, respectively, when the welding speed was $150$ $mm/min$. In another process, the TIG welding is carried out at a welding speed of $120$ $mm/min$ at the same arc voltage and ... so that weld quality remains the same. The welding current (in $A$) for this process is $40.00$ $44.72$ $55.90$ $62.25$

During a TIG welding process, the arc current and arc voltage were $50$ $A$ and $60$ $V$, respectively, when the welding speed was $150$ $mm/min$. In another process, the...

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GATE2016-2-51
For a certain job,the cost of metal cutting is $Rs$. $18C/V$ and the cost of tooling is $Rs$. $270C/(TV)$,where $C$ is a constant,$V$ is the cutting speed in $m/min$ and $T$ is the tool life in minutes.The Taylor's tool life equation is $VT^{0.25}$-$150$.The cutting speed (in $m/min$) for the minimum tool cost is

For a certain job,the cost of metal cutting is $Rs$. $18C/V$ and the cost of tooling is $Rs$. $270C/(TV)$,where $C$ is a constant,$V$ is the cutting speed in $m/min$ and ...

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GATE2016-3-54
The demand for a two-wheeler was $900$ units and $1030$ units in April $2015$ and May $2015$, respectively. The forecast for the month of April $2015$ was $850$ units. Considering a smoothing constant of $0.6$, the forecast for the month of June $2015$ is $850$ units $927$ units $965$ units $970$ units

The demand for a two-wheeler was $900$ units and $1030$ units in April $2015$ and May $2015$, respectively. The forecast for the month of April $2015$ was $850$ units. Co...

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GATE2015-2-50
The flow stress (in $MPa$) of a material is given by $\sigma =500\varepsilon ^{0.1}$, where $ε$ is true strain. The Young’s modulus of elasticity of the material is $200$ $GPa$. A block of thickness $100$ $mm$ made of this material is compressed to $95$ $mm$ thickness and then the load is removed. The final dimension of the block (in $mm$) is _________

The flow stress (in $MPa$) of a material is given by $\sigma =500\varepsilon ^{0.1}$,where $ε...

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GATE2016-1-22
The part of a gating system which regulates the rate of pouring of molten metal is pouring basin runner choke ingate

The part of a gating system which regulates the rate of pouring of molten metal ispouring basinrunnerchokeingate

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GATE2015-3-35
In a CNC milling operation, the tool has to machine the circular arc from point $(20, 20)$ to $(10, 10)$ at sequence number $5$ of the CNC part program. If the center of the arc is at $(20, 10)$ ... R$10$ N $05$ G$90$ G$03$ X$20$ Y$20$ R$10$ N $05$ G$91$ G$02$ X$20$ Y$20$ R$10$

In a CNC milling operation, the tool has to machine the circular arc from point $(20, 20)$ to $(10, 10)$ at sequence number $5$ of the CNC part program. If the center of ...

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GATE2016-3-55
A firm uses a turning center, a milling center and a grinding machine to produce two parts. The table below provides the machining time required for each part and the maximum machining time available on each machine. The profit per unit on parts $I$ and $II$ are $Rs. 40$ ... minutes) I II Turning machine $12$ $6$ $6000$ Milling center $4$ $10$ $4000$ Grinding Machine $2$ $3$ $1800$

A firm uses a turning center, a milling center and a grinding machine to produce two parts. The table below provides the machining time required for each part and the max...

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GATE2016-3-51
In a single point turning operation with cemented carbide tool and steel work piece, it is found that the Taylor’s exponent is $0.25$. If the cutting speed is reduced by $50 \%$ then the tool life changes by ______ times.

In a single point turning operation with cemented carbide tool and steel work piece, it is found that the Taylor’s exponent is $0.25$. If the cutting speed is reduced b...

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GATE2016-3-21
Equal amounts of a liquid metal at the same temperature are poured into three moulds made of steel, copper and aluminum. The shape of the cavity is a cylinder with 15 mm diameter. The size of the moulds are such that the outside temperature of the moulds do ... , respectively.) Copper - Steel - Aluminum Aluminum - Steel - Copper Copper - Aluminum - Steel Steel - Copper - Aluminum

Equal amounts of a liquid metal at the same temperature are poured into three moulds made of steel, copper and aluminum. The shape of the cavity is a cylinder with 15 mm ...

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GATE2015-1-33
Following data refers to the activities of a project, where, node $1$ refers to the start and node $5$ ... (CP) in the network is $1$-$2$-$3$-$5$ $1$-$4$-$3$-$5$ $1$-$2$-$3$-$4$-$5$ $1$-$4$-$5$

Following data refers to the activities of a project, where, node $1$ refers to the start and node $5$ refers to the end of the project.$\begin{array}{|l|l|} \hline \text...

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GATE2016-3-49
For an orthogonal cutting operation, tool material is HSS, rake angle is $22^\circ $, chip thickness is $0.8 \: mm$, speed is $48 \: m/min$ and feed is $0.4 \: mm/rev$. The shear plane angle (in degrees) is $19.24$ $29.70$ $56.00$ $68.75$

For an orthogonal cutting operation, tool material is HSS, rake angle is $22^\circ $, chip thickness is $0.8 \: mm$, speed is $48 \: m/min$ and feed is $0.4 \: mm/rev$. T...

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GATE2015-1-36
The solidification time of a casting is proportional to $\left( \dfrac{V}{A} \right )^2$, where $V$ is the volume of the casting and $A$ is the total casting surface area losing heat. Two cubes of same material and size are cast using sand casting process. The top face of one of ... insulated to that of the other cube is $\dfrac{25}{36} \\$ $\dfrac{36}{25} \\$ $1 \\$ $\dfrac{6}{5}$

The solidification time of a casting is proportional to $\left( \dfrac{V}{A} \right )^2$, where $V$ is the volume of the casting and $A$ is the total casting surface area...

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GATE2016-2-54
A food processing company uses $25,000 \:kg$ ... on an annual basis is $20\%$ of the purchase price of the corn flour per $kg$. The optimal order quantity (in $kg$) is _____________

A food processing company uses $25,000 \:kg$ of corn flour every year. The quantity-discount price of corn flour is provided in the table below:$$\begin{array}{|l|l|} \hl...

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GATE2015-2-55
A manufacturer has the following data regarding a product: Fixed cost per month = $Rs$. $50000$ Variable cost per unit = $Rs.$ $200$ Selling price per unit = $Rs$. $300$ Production capacity = $1500$ units per month If the production is carried out at $80\%$ of the rated capacity, then the monthly profit (in $Rs$.) is ____________

A manufacturer has the following data regarding a product:Fixed cost per month = $Rs$. $50000$Variable cost per unit = $Rs.$ $200$Selling price per unit = $Rs$. $300$Prod...

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GATE2015-1-24
In a linear arc welding process, the heat input per unit length is inversely proportional to welding current welding voltage welding speed duty cycle of the power source

In a linear arc welding process, the heat input per unit length is inversely proportional towelding currentwelding voltagewelding speedduty cycle of the power source

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GATE2016-2-55
A project consists of $14$ activities, $A$ to $N$. The duration of these activities (in days) are shown in brackets on the network diagram. The latest finish time (in days) for node $10$ is __________

A project consists of $14$ activities, $A$ to $N$. The duration of these activities (in days) are shown in brackets on the network diagram. The latest finish time (in day...

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GATE2015-3-6
In a machining operation, if the generatrix and directrix both are straight lines, the surface obtained is cylindrical helical helical surface of revolution

In a machining operation, if the generatrix and directrix both are straight lines, the surface obtained iscylindricalhelicalhelicalsurface of revolution

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GATE2016-1-21
Under optimal conditions of the process the temperatures experienced by a copper work piece in fusion welding, brazing and soldering are such that $T_{\text{welding}} > T_{\text{soldering}}> T_{\text{brazing}}$ ... $T_{\text{welding}} > T_{\text{brazing}} > T_{\text{soldering}}$

Under optimal conditions of the process the temperatures experienced by a copper work piece in fusion welding, brazing and soldering are such that$T_{\text{welding}} T_{...

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GATE2016-1-15
A plastic sleeve of outer radius $r_0=1$ $mm$ covers a wire (radius $r=0.5\:mm$) carrying electric current. Thermal conductivity of the plastic is $0.15 W/m-K$. The heat transfer coefficient on the outer surface of the sleeve exposed to air is ... . Due to the addition of the plastic cover, the heat transfer from the wire to the ambient will increase remain the same decrease be zero

A plastic sleeve of outer radius $r_0=1$ $mm$ covers a wire (radius $r=0.5\:mm$) carrying electric current. Thermal conductivity of the plastic is $0.15 W/m-K$. The heat ...

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