Highest voted questions in Fluid Mechanics and Thermal Sciences / GO Mechanical

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GATE Mechanical 2014 Set 3 | Question: 45
A fluid of dynamic viscosity $2 × 10^{−5}$ $kg/m.s$ and density $1$ $kg/m^3$ flows with an average velocity of $1$ $m/s$ through a long duct of rectangular ($25$ $mm$ × $15$ $mm$) cross-section. Assuming laminar flow, the pressure drop (in $Pa$) in the fully developed region per meter length of the duct is _______

A fluid of dynamic viscosity $2 × 10^{−5}$ $kg/m.s$ and density $1$ $kg/m^3$ flows with an average velocity of $1$ $m/s$ through a long duct of rectangular ($25$ $mm$ ...

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GATE Mechanical 2014 Set 3 | Question: 46
At the inlet of an axial impulse turbine rotor, the blade linear speed is $25 \: m/s$, the magnitude of absolute velocity is $100 \: m/s$ and the angle between them is $25^{\circ}$. The relative velocity and the axial component ... blade inlet and outlet velocity triangles are shown in the figure. Assuming no losses, the specific work (in $J/kg$) is _______

At the inlet of an axial impulse turbine rotor, the blade linear speed is $25 \: m/s$, the magnitude of absolute velocity is $100 \: m/s$ and the angle between them is $2...

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GATE Mechanical 2014 Set 3 | Question: 47
A solid sphere of radius $r_1 = 20$ $mm$ is placed concentrically inside a hollow sphere of radius $r_2 = 30$ $mm$ as shown in the figure. The view factor $F_{21}$ for radiation heat transfer is $\dfrac{2}{3} \\$ $\dfrac{4}{9} \\$ $\dfrac{8}{27} \\$ $\dfrac{9}{4}$

A solid sphere of radius $r_1 = 20$ $mm$ is placed concentrically inside a hollow sphere of radius $r_2 = 30$ $mm$ as shown in the figure.The view factor $F_{21}$ for ra...

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GATE Mechanical 2014 Set 3 | Question: 13
Which one of the following pairs of equations describes an irreversible heat engine? $\oint \delta Q> 0$ and $\oint \dfrac{\delta Q}{T} < 0 \\$ $\oint \delta Q< 0$ and $\oint \dfrac{\delta Q}{T} < 0 \\$ $\oint \delta Q> 0$ and $\oint \dfrac{\delta Q}{T} > 0 \\$ $\oint \delta Q< 0$ and $\oint \dfrac{\delta Q}{T} > 0$

Which one of the following pairs of equations describes an irreversible heat engine?$\oint \delta Q 0$ and $\oint \dfrac{\delta Q}{T} < 0 \\$$\oint \delta Q< 0$ and $\oin...

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GATE Mechanical 2014 Set 3 | Question: 14
Consider the turbulent flow of a fluid through a circular pipe of diameter, D. Identify the correct pair of statements. The fluid is well-mixed The fluid is unmixed $Re_D$ < $2300$ $Re_D$ > $2300$ $I, III$ $II, IV$ $II, III$ $I, IV$

Consider the turbulent flow of a fluid through a circular pipe of diameter, D. Identify the correct pair of statements.The fluid is well-mixedThe fluid is unmixed$Re_D$ <...

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GATE Mechanical 2014 Set 3 | Question: 15
For a gas turbine power plant, identify the correct pair of statements. P. Smaller in size compared to steam power plant for same power output Q. Starts quickly compared to steam power plant R. Works on the principle of Rankine cycle S. Good compatibility with solid fuel P, Q R, S Q, R P, S

For a gas turbine power plant, identify the correct pair of statements.P. Smaller in size compared to steam power plant for same power outputQ. Starts quickly compared to...

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GATE Mechanical 2014 Set 3 | Question: 16
A source at a temperature of $500$ $K$ provides $1000$ $kJ$ of heat. The temperature of environment is $27^oC$. The maximum useful work (in $kJ$) that can be obtained from the heat source is _______

A source at a temperature of $500$ $K$ provides $1000$ $kJ$ of heat. The temperature of environment is $27^oC$. The maximum useful work (in $kJ$) that can be obtained fro...

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GATE Mechanical 2014 Set 3 | Question: 17
A sample of moist air at a total pressure of $85$ $kPa$ has a dry bulb temperature of $30^oC$ (saturation vapour pressure of water = $4.24$ $kPa$). If the air sample has a relative humidity of $65$%, the absolute humidity (in gram) of water vapour per $kg$ of dry air is _______

A sample of moist air at a total pressure of $85$ $kPa$ has a dry bulb temperature of $30^oC$ (saturation vapour pressure of water = $4.24$ $kPa$). If the air sample has ...

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GATE Mechanical 2014 Set 2 | Question: 42
A hemispherical furnace of $1$ m radius has the inner surface (emissivity, $\varepsilon =1$) of its roof maintained at $800$ $K$, while its floor ($\varepsilon =5.0$) is kept at $600 K$. Stefan-Boltzmann constant is $5.668 \times 10^−8$ $W / m^2$.$K^4$. The net radiative heat transfer (in $kW$) from the roof to the floor is _______

A hemispherical furnace of $1$ m radius has the inner surface (emissivity, $\varepsilon =1$) of its roof maintained at $800$ $K$, while its floor ($\varepsilon =5.0$) is...

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GATE Mechanical 2014 Set 2 | Question: 43
Water flows through a $10$ $mm$ diameter and $250$ $m$ long smooth pipe at an average velocity of $0.1 m/s$. The density and the viscosity of water are $997$ $kg/m^3$ and $855×10^−6$ $N.s/m^2$, respectively. Assuming fully-developed flow, the pressure drop (in $Pa$) in the pipe is _______

Water flows through a $10$ $mm$ diameter and $250$ $m$ long smooth pipe at an average velocity of $0.1 m/s$. The density and the viscosity of water are $997$ $kg/m^3$ and...

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GATE Mechanical 2014 Set 2 | Question: 44
A material P of thickness $1$ $mm$ is sandwiched between two steel slabs, as shown in the figure below. A heat flux $10$ $kW/m^2$ is supplied to one of the steel slabs as shown. The boundary temperatures of the slabs are indicated ... steady state heat conduction for the configuration, the thermal conductivity ($k$, in $W/m.K$) of material $P$ is _______

A material P of thickness $1$ $mm$ is sandwiched between two steel slabs, as shown in the figure below. A heat flux $10$ $kW/m^2$ is supplied to one of the steel slabs as...

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GATE Mechanical 2014 Set 2 | Question: 45
Consider laminar flow of water over a flat plate of length 1 m. If the boundary layer thickness at a distance of $0.25$ $m$ from the leading edge of the plate is $8$ $mm$, the boundary layer thickness (in $mm$), at a distance of $0.75$ $m$, is _______

Consider laminar flow of water over a flat plate of length 1 m. If the boundary layer thickness at a distance of $0.25$ $m$ from the leading edge of the plate is $8$ $mm$...

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GATE Mechanical 2014 Set 2 | Question: 46
In an ideal Brayton cycle, atmospheric air (ratio of specific heats, $c_p$/$c_v$ = $1.4$, specific heat at constant pressure = $1.005$ $kJ/kg.K$) at $1$ $bar$ and $300$ $K$ is compressed to $8$ $bar$. The maximum temperature in the cycle ... the heat is supplied at the rate of $80$ $MW$, the mass flow rate (in $kg/s$) of air required in the cycle is _______

In an ideal Brayton cycle, atmospheric air (ratio of specific heats, $c_p$/$c_v$ = $1.4$, specific heat at constant pressure = $1.005$ $kJ/kg.K$) at $1$ $bar$ and $300$ $...

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GATE Mechanical 2014 Set 2 | Question: 47
Steam at a velocity of $10$ $m/s$ enters the impulse turbine stage with symmetrical blading having blade angle $30^\circ $. The enthalpy drop in the stage is $100 kJ$. The nozzle angle is $20^\circ$. The maximum blade efficiency (in percent) is _______

Steam at a velocity of $10$ $m/s$ enters the impulse turbine stage with symmetrical blading having blade angle $30^\circ $. The enthalpy drop in the stage is $100 kJ$. Th...

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GATE Mechanical 2014 Set 2 | Question: 48
In a concentric counter flow heat exchanger, water flows through the inner tube at $25^\circ C$ and leaves at $42^\circ C$. The engine oil enters at $100^\circ C$ and flows in the annular flow passage. The exit temperature of the engine ... water and oil are $4178 J/kg.K$ and $2130 J/kg.K$, respectively. The effectiveness of this heat exchanger is _______

In a concentric counter flow heat exchanger, water flows through the inner tube at $25^\circ C$ and leaves at $42^\circ C$. The engine oil enters at $100^\circ C$ and flo...

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GATE Mechanical 2014 Set 2 | Question: 49
A heat pump with refrigerant $R22$ is used for space heating between temperature limits of $−20^\circ C$ and $25^ \circ C$. The heat required is $200 MJ/h$ ... $kJ/kg$) of the refrigerant at isentropic compressor discharge is _______

A heat pump with refrigerant $R22$ is used for space heating between temperature limits of $−20^\circ C$ and $25^ \circ C$. The heat required is $200 MJ/h$. Assume spec...

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GATE Mechanical 2014 Set 2 | Question: 50
A project has four activities $P, Q, R$ and $S$ ... $9$ days, the total cost (in Rupees) of the project is _______

A project has four activities $P, Q, R$ and $S$ as shown below.$$\begin{array}{|c|c|c|c|} \hline \text{Activity} & \text{Normal duration (days)} & \text{Predecessor} & \t...

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GATE Mechanical 2014 Set 2 | Question: 16
In a heat exchanger, it is observed that $ΔT_1$ = $ΔT_2$, where $ΔT_1$ is the temperature difference between the two single phase fluid streams at one end and $ΔT_2$ is the temperature difference at the other end. This heat exchanger is a condenser an evaporator a counter flow heat exchanger a parallel flow heat exchanger

In a heat exchanger, it is observed that $ΔT_1$ = $ΔT_2$, where $ΔT_1$ is the temperature difference between the two single phase fluid streams at one end and $ΔT_2$ ...

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GATE Mechanical 2014 Set 2 | Question: 17
The difference in pressure (in $N/m^2$) across an air bubble of diameter $0.001$ $m$ immersed in water (surface tension $= 0.072$ $N/m$) is _______

The difference in pressure (in $N/m^2$) across an air bubble of diameter $0.001$ $m$ immersed in water (surface tension $= 0.072$ $N/m$) is _______

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GATE Mechanical 2014 Set 2 | Question: 12
For laminar forced convection over a flat plate, if the free stream velocity increases by a factor of $2$, the average heat transfer coefficient remains same decreases by a factor of $\sqrt{2}$ rises by a factor of $\sqrt{2}$ rises by a factor of $\sqrt{4}$

For laminar forced convection over a flat plate, if the free stream velocity increases by a factor of $2$, the average heat transfer coefficientremains samedecreases by a...

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GATE Mechanical 2014 Set 2 | Question: 13
The thermal efficiency of an air-standard Brayton cycle in terms of pressure ratio $r_p$ and $\gamma (= c_p /c_v)$ is given by $1-\dfrac{1}{{r_p}^{\gamma -1}} \\$ $1-\dfrac{1}{{r_p}^{\gamma }} \\$ $1-\dfrac{1}{{r_p}^{1/\gamma }} \\$ $1-\dfrac{1}{{r_p}^{(\gamma -1)/\gamma }}$

The thermal efficiency of an air-standard Brayton cycle in terms of pressure ratio $r_p$ and $\gamma (= c_p /c_v)$ is given by$1-\dfrac{1}{{r_p}^{\gamma -1}} \\$$1-\dfrac...

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GATE Mechanical 2014 Set 2 | Question: 14
For an incompressible flow field, $\overrightarrow{V}$, which one of the following conditions must be satisfied? $\bigtriangledown \cdot \overrightarrow{V}=0$ $\bigtriangledown \times \overrightarrow{V}=0$ ... $\frac{\partial \overrightarrow{V}}{\partial t}+(\overrightarrow{V} \cdot \bigtriangledown) \overrightarrow{V}=0$

For an incompressible flow field, $\overrightarrow{V}$, which one of the following conditions must be satisfied?$\bigtriangledown \cdot \overrightarrow{V}=0$$\bigtriangle...

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GATE Mechanical 2014 Set 2 | Question: 15
A pure substance at $8$ $MPa$ and $400^0C$ is having a specific internal energy of $2864$ $kJ/kg$ and a specific volume of $0.03432$ $m^3$/$kg$. Its specific enthalpy (in $kJ/kg$) is _______

A pure substance at $8$ $MPa$ and $400^0C$ is having a specific internal energy of $2864$ $kJ/kg$ and a specific volume of $0.03432$ $m^3$/$kg$. Its specific enthalpy (in...

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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 _______

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...

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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 ... number $Nu=\dfrac{{q}''}{T_W-T_\infty }\dfrac{L}{k}$ is equal to $a$ $b$ $2c$ $(b+2c)$

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...

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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 _______

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 $1.4$ a...

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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 $0.8$ $1.0$ $1.4$ $2.0$

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 ...

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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 _______

$1.5$ 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...

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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 ... $250$ $W$/$m^2.K$. The temperature (in $°C$), at $x$ = $0$ is _______

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 $x$ = $0$,...

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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 _______

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

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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 _______

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 f...

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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 . $0.69$ $0.88$ $0.98$ $1.37$

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...

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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 _______

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...

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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 _______

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...

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GATE Mechanical 2014 Set 1 | Question: 12
Biot number signifies the ratio of convective resistance in the fluid to conductive resistance in the solid conductive resistance in the solid to convective resistance in the fluid inertia force to viscous force in the fluid buoyancy force to viscous force in the fluid

Biot number signifies the ratio ofconvective resistance in the fluid to conductive resistance in the solidconductive resistance in the solid to convective resistance in t...

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GATE Mechanical 2014 Set 1 | Question: 14
Consider a two-dimensional laminar flow over a long cylinder as shown in the figure below. The free stream velocity is $U_\infty$ and the free stream temperature $T_\infty$ is lower than the cylinder surface temperature $T_S$. The local heat transfer coefficient is minimum at point $1$ $2$ $3$ $4$

Consider a two-dimensional laminar flow over a long cylinder as shown in the figure below.The free stream velocity is $U_\infty$ and the free stream temperature $T_\infty...

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GATE Mechanical 2014 Set 1 | Question: 15
For a completely submerged body with Centre of gravity ‘G’ and Centre of buoyancy ‘B’, the condition of stability will be G is located below B G is located above B G and B are coincident independent of the locations of G and B

For a completely submerged body with Centre of gravity ‘G’ and Centre of buoyancy ‘B’, the condition of stability will beG is located below BG is located above BG...

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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 $0.34$ $2.48$ $2.92$ $3.43$

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 temperatu...

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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

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$0 \leq \alpha \leq 1$ a...

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GATE Mechanical 2014 Set 1 | Question: 9
A circular object of radius $r$ rolls without slipping o n a horizontal level floor with the center having Velocity $V$. The velocity at the point of contact between the object and the floor is zero $V$ in the direction of motion $V$ opposite to the direction of motion $V$ vertically upward from the floor

A circular object of radius $r$ rolls without slipping o n a horizontal level floor with the center having Velocity $V$. The velocity at the point of contact between the ...

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