Recent questions tagged numerical-answers / GO Mechanical

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GATE Mechanical 2021 Set 2 | Question: 35
Find the positive real root of $x^3-x-3=0$ using Newton-Raphson method. lf the starting guess $(x_{0})$ is $2,$ the numerical value of the root after two iterations $(x_{2})$ is ______ ($\textit{round off to two decimal places}$).

Find the positive real root of $x^3-x-3=0$ using Newton-Raphson method. lf the starting guess $(x_{0})$ is $2,$ the numerical value of the root after two iterations $(x_{...

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GATE Mechanical 2021 Set 2 | Question: 38
A spot welding operation performed on two pieces of steel yielded a nugget with a diameter of $\text{5 mm}$ and a thickness of $\text{1 mm}$. The welding time was $\text{0.1 s}$ ... $\text{kW} (\textit{round off to two decimal places}$).

A spot welding operation performed on two pieces of steel yielded a nugget with a diameter of $\text{5 mm}$ and a thickness of $\text{1 mm}$. The welding time was $\text{...

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GATE Mechanical 2021 Set 2 | Question: 39
A surface grinding operation has been performed on a Cast Iron plate having dimensions $\text{300 mm} (\textit{length}) \times \text{10 mm} (\textit{width})\times\text{50 mm}({height}$). The grinding was performed using an alumina wheel ... energy under the aforesaid grinding conditions is ______ $\text{J/mm}^{3} (\textit{round off to one decimal place}$).

A surface grinding operation has been performed on a Cast Iron plate having dimensions $\text{300 mm} (\textit{length}) \times \text{10 mm} (\textit{width})\times\text{50...

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GATE Mechanical 2021 Set 2 | Question: 40
In a pure orthogonal turning by a zero rake angle single point carbide cutting tool, the shear force has been computed to be $\text{400 N}$. The cutting velocity, $V_{c}=100$ $\text{m/min}$, depth of cut, $\text{t= 2.0 mm}$ ... , the shear strength, $\tau_{s}$, of the material will be ______ $\text{MPa} (\textit{round off to two decimal places}$).

In a pure orthogonal turning by a zero rake angle single point carbide cutting tool, the shear force has been computed to be $\text{400 N}$. The cutting velocity, $V_{c}=...

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GATE Mechanical 2021 Set 2 | Question: 41
The thickness, width and length of a metal slab are $\text{50 mm}$, $\text{250 mm}$ and $\text{3600 mm}$, respectively. A rolling operation on this slab reduces the thickness by $10\%$ and increases the width by $3\%$. The length of the rolled slab is ________ $\text{mm} \:(\textit{round off to one decimal place}$).

The thickness, width and length of a metal slab are $\text{50 mm}$, $\text{250 mm}$ and $\text{3600 mm}$, respectively. A rolling operation on this slab reduces the thick...

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GATE Mechanical 2021 Set 2 | Question: 42
A $\text{76.2 mm}$ gauge block is used under one end of a $\text{254 mm}$ sine bar with roll diameter of $\text{25.4 mm}$. The height of gauge blocks required at the other end of the sine bar to measure an angle of $30^{\circ}$ is ______ $\text{mm} (\textit{round off to two decimal places}$).

A $\text{76.2 mm}$ gauge block is used under one end of a $\text{254 mm}$ sine bar with roll diameter of $\text{25.4 mm}$. The height of gauge blocks required at the othe...

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GATE Mechanical 2021 Set 2 | Question: 43
The demand and forecast of an item for five months are given in the table. ... Mean Absolute Percent Error $\text{(MAPE)}$ in the forecast is __________________ $\% (\textit{round off to two decimal places}$)

The demand and forecast of an item for five months are given in the table.$$\begin{array}{|cl|cI|cI|}\hline&\textbf{Month} & \textbf{Demand} & \textbf{Forecast} \\ \hline...

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GATE Mechanical 2021 Set 2 | Question: 44
A shell and tube heat exchanger is used as a steam condenser. Coolant water enters the tube at $300 \text{ K}$ at a rate of $100 \text{ kg/s}$ ... temperature of the coolant water coming out of the condenser is __________________ $\text{K} (\textit{round off to the nearest integer}$).

A shell and tube heat exchanger is used as a steam condenser. Coolant water enters the tube at $300 \text{ K}$ at a rate of $100 \text{ kg/s}$. The overall heat transfer ...

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GATE Mechanical 2021 Set 2 | Question: 45
Ambient air flows over a heated slab having flat, top surface at $y = 0$. The local temperature (in Kelvin) profile within the thermal boundary layer is given by $\text{T(y)} = 300 + 200 \exp (-5y)$, where $\text{y}$ is the distance ... $y=0$ is ____________________ $\text{K/m} (\textit{round off to the nearest integer}$).

Ambient air flows over a heated slab having flat, top surface at $y = 0$. The local temperature (in Kelvin) profile within the thermal boundary layer is given by $\text{T...

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GATE Mechanical 2021 Set 2 | Question: 46
Water flows out from a large tank of cross-sectional area $A_{t}=1 \text{ m}^{2}$ through a small rounded orifice of cross-sectional area $A_{o} = 1 \text{ cm}^2$, located at $y= 0$ ... in the tank to reach a level of $\text{y = H/4}$ is __________________ seconds ($\textit{round off to one decimal places}$).

Water flows out from a large tank of cross-sectional area $A_{t}=1 \text{ m}^{2}$ through a small rounded orifice of cross-sectional area $A_{o} = 1 \text{ cm}^2$, locat...

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GATE Mechanical 2021 Set 2 | Question: 47
Consider the open feed water heater $\text{(FWH)}$ shown in the figure given below: Specific enthalpy of steam at location $2$ is $\text{2624 kJ/kg}$, specific enthalpy of water at location $5$ is $\text{226.7 kJ/kg}$ and specific enthalpy ... then the mass flow rate of steam at location $2$ will be ________ $\text{kg/s}$ (round off to one decimal place).

Consider the open feed water heater $\text{(FWH)}$ shown in the figure given below:Specific enthalpy of steam at location $2$ is $\text{2624 kJ/kg}$, specific enthalpy of...

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GATE Mechanical 2021 Set 2 | Question: 48
A high velocity water jet of cross section area = $0.01 \text{ m}^{2}$ and velocity $\text{35 m/s}$ enters a pipe filled with stagnant water. The diameter of the pipe is $\text{0.32 m}$. This high velocity water jet entrains ... the figure. The flow rate of entrained water is _______________ liters/$\text{s}\: (\textit{round off to two decimal places}$).

A high velocity water jet of cross section area = $0.01 \text{ m}^{2}$ and velocity $\text{35 m/s}$ enters a pipe filled with stagnant water. The diameter of the pipe is ...

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GATE Mechanical 2021 Set 2 | Question: 49
A vertical shaft Francis turbine rotates at $\text{300 rpm}$. The available head at the inlet to the turbine is $\text{200 m}$. The tip speed of the rotor is $\text{40 m/s}$. Water leaves the runner of the turbine without whirl. Velocity at ... $\% (\textit{round off to one decimal place}$).

A vertical shaft Francis turbine rotates at $\text{300 rpm}$. The available head at the inlet to the turbine is $\text{200 m}$. The tip speed of the rotor is $\text{40 m/...

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GATE Mechanical 2021 Set 2 | Question: 50
An adiabatic vortex tube, shown in the figure given below is supplied with $\text{5 kg/s}$ of air (inlet $1$) at $\text{500 kPa}$ and $\text{300 K}$. Two separate streams of air are leaving the device from outlets $2$ and $3$. ... the boundary of this device. The rate of entropy generation is _______ $\text{kW/K}\:(\textit{round off to one decimal place}$).

An adiabatic vortex tube, shown in the figure given below is supplied with $\text{5 kg/s}$ of air (inlet $1$) at $\text{500 kPa}$ and $\text{300 K}$. Two separate streams...

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GATE Mechanical 2021 Set 2 | Question: 51
A block of negligible mass rests on a surface that is inclined at $30^{\circ}$ to the horizontal plane as shown in the figure. When a vertical force of $\text{900 N}$ and a horizontal force of $\text{750 N}$ are applied, ... to slide. The coefficient of static friction between the block and surface is _______ ($\textit{round off to two decimal places}$).

A block of negligible mass rests on a surface that is inclined at $30^{\circ}$ to the horizontal plane as shown in the figure. When a vertical force of $\text{900 N}$ and...

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GATE Mechanical 2021 Set 2 | Question: 52
The wheels and axle system lying on a rough surface is shown in the figure. Each wheel has diameter $\text{0.8 m}$ and mass $\text{1 kg}$. Assume that the mass of the wheel is concentrated at rim and neglect the mass of the spokes. The ... of the wheel axle system in horizontal direction is ______ $\text{m/s}^{2} (\textit{round off to one decimal place}$).

The wheels and axle system lying on a rough surface is shown in the figure.Each wheel has diameter $\text{0.8 m}$ and mass $\text{1 kg}$. Assume that the mass of the whe...

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GATE Mechanical 2021 Set 2 | Question: 53
A cantilever beam with a uniform flexural rigidity ($\text{EI} = 200 \times 10^{6} \text{N.m}^{2}$ ) is loaded with a concentrated force at its free end. The area of the bending moment diagram corresponding to the full length of the ... magnitude of the slope of the beam at its free end is ______ micro radian ($\textit{round off to the nearest integer}$).

A cantilever beam with a uniform flexural rigidity ($\text{EI} = 200 \times 10^{6} \text{N.m}^{2}$ ) is loaded with a concentrated force at its free end. The area of the ...

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GATE Mechanical 2021 Set 2 | Question: 54
The torque provided by an engine is given by $T(\theta) =12000+ 2500 \sin(2 \theta) \text{N.m}$, where $\theta$ is the angle turned by the crank from inner dead center. The mean speed of the engine is $\text{200 rpm}$ and it ... minimum mass moment of inertia of the flywheel should be _______ $\text{kg.m}^{2} (\textit{round off to the nearest integer}$).

The torque provided by an engine is given by $T(\theta) =12000+ 2500 \sin(2 \theta) \text{N.m}$, where $\theta$ is the angle turned by the crank from inner dead center. T...

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GATE Mechanical 2021 Set 2 | Question: 55
The figure shows the relationship between fatigue strength $\text{(S)}$ and fatigue life $\text{(N)}$ of a material. The fatigue strength of the material for a life of $1000$ cycles is $\text{450 MPa}$, while its fatigue strength for a ... to an alternating stress of $\text{200 MPa}$ will then be _______ cycles ($\textit{round off to the nearest integer}$).

The figure shows the relationship between fatigue strength $\text{(S)}$ and fatigue life $\text{(N)}$ of a material. The fatigue strength of the material for a life of $1...

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GATE Mechanical 2021 Set 1 | Question: 20
Robot $\text{Ltd}$ ... fulfillment probability for the lead time period is _____________ units ($\textit{round off to two decimal places}$).

Robot $\text{Ltd}$. wishes to maintain enough safety stock during the lead time period between starting a new production run and its completion such that the probability ...