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Recent questions tagged numerical-answers

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GATE2018-1-36
The percentage scrap in a sheet metal blanking operation of a continuous strip of sheet metal as shown in the figure is _______ (correct to two decimal places)
The percentage scrap in a sheet metal blanking operation of a continuous strip of sheet metal as shown in the figure is _______ (correct to two decimal places)
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GATE2018-1-24
For a Pelton wheel with a given water jet velocity, the maximum output power from the Pelton wheel is obtained when the ratio of the bucket speed to the water jet speed is _____ (correct to two decimal places)
For a Pelton wheel with a given water jet velocity, the maximum output power from the Pelton wheel is obtained when the ratio of the bucket speed to the water jet speed i...
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GATE2018-1-22
A flat plate of width $L=1 \: m$ is pushed down with a velocity $U=0.01 \: m/s$ towards a wall resulting in the drainage of the fluid between the plate and the wall as sown in the figure. Assume two-dimensional incompressible flow and that the plate remains ... $m/s$) draining out at the instant shown in the figure is ____ (correct to three decimal places).
A flat plate of width $L=1 \: m$ is pushed down with a velocity $U=0.01 \: m/s$ towards a wall resulting in the drainage of the fluid between the plate and the wall as so...
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GATE2018-1-21
If the wire diameter of a compressive helical spring is increased by $2 \%$, the change in spring stiffness (in $\%$) is _____ (correct to two decimal places)
If the wire diameter of a compressive helical spring is increased by $2 \%$, the change in spring stiffness (in $\%$) is _____ (correct to two decimal places)
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GATE2018-1-20
A four bar mechanism is made up of links of length $100$, $200$, $300$ and $350$ mm. If the $350$ mm link is fixed, the number of links that can rotate fully is _________
A four bar mechanism is made up of links of length $100$, $200$, $300$ and $350$ mm. If the $350$ mm link is fixed, the number of links that can rotate fully is _________...
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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-2: 34
Three masses are connected to a rotating shaft supported on bearings $A$ and $B$ ... and for a shaft angular speed of $1000$ radian/s, the magnitude of the bearing reaction (in N) at location $B$ is ___________.
Three masses are connected to a rotating shaft supported on bearings $A$ and $B$ as shown in the figure. The system is in a space where the gravitational effect is absent...
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GATE2017 ME-2: 28
Consider the matrix $A=\begin{bmatrix} 50 &70 \\ 70 & 80 \end{bmatrix}$ whose eigenvectors corresponding to eigenvalues $\lambda _{1}$ and $\lambda _{2}$ are $x_{1}=\begin{bmatrix} 70 \\ \lambda_{1}-50 \end{bmatrix}$ and $x_{2}=\begin{bmatrix} \lambda _{2}-80\\ 70 \end{bmatrix}$, respectively. The value of $x^{T}_{1} x_{2}$ is _________.
Consider the matrix $A=\begin{bmatrix}50 &70 \\70 & 80\end{bmatrix}$ whose eigenvectors corresponding to eigenvalues $\lambda _{1}$ and $\lambda _{2}$ are $x_{1}=\begin{b...
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GATE2017 ME-2: 27
Consider the differential equation $3y" (x)+27 y (x)=0$ with initial conditions $y(0)=0$ and $y'(0)=2000$. The value of $y$ at $x=1$ is ________.
Consider the differential equation $3y" (x)+27 y (x)=0$ with initial conditions $y(0)=0$ and $y'(0)=2000$. The value of $y$ at $x=1$ is ________.
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GATE2017 ME-2: 26
The surface integral $\int \int _{s} F.n $ dS over the surface $S$ of the sphere $x^{2}+y^{2}+z^{2}=9$, where $F=(x+y) i+(x+z) j+(y+z)k$ and $n$ is the unit outward surface normal, yields ________.
The surface integral $\int \int _{s} F.n $ dS over the surface $S$ of the sphere $x^{2}+y^{2}+z^{2}=9$, where $F=(x+y) i+(x+z) j+(y+z)k$ and $n$ is the unit outward surfa...
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GATE2017 ME-2: 24
The standard deviation of linear dimensions $P$ and $Q$ are $3 \mu$ m and $4 \mu$ m, respectively. When assembled, the standard deviation (in $\mu$ m) of the resulting linear dimension $(P+Q)$ is _________.
The standard deviation of linear dimensions $P$ and $Q$ are $3 \mu$ m and $4 \mu$ m, respectively. When assembled, the standard deviation (in $\mu$ m) of the resulting li...
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GATE2017 ME-2: 22
Given the atomic weight of Fe is $56$ and that of $C$ is $12$, the weight percentage of carbon in cementite $(Fe_{3}C)$ is _________.
Given the atomic weight of Fe is $56$ and that of $C$ is $12$, the weight percentage of carbon in cementite $(Fe_{3}C)$ is _________.
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GATE2017 ME-2: 21
The crystal structure of aluminium is. body-centered cubic. face-centered cubic. close-packed hexagonal. body-centered tetragonal.
The crystal structure of aluminium is.body-centered cubic.face-centered cubic.close-packed hexagonal.body-centered tetragonal.
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GATE2017 ME-2: 19
The emissive power of a blackbody is $P$. If its absolute temperature is doubled, the emissive power becomes $2 P$ $4 P$ $8 P$ $16 P$
The emissive power of a blackbody is $P$. If its absolute temperature is doubled, the emissive power becomes$2 P$$4 P$$8 P$$16 P$
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GATE2017 ME-2: 18
The heat loss from a fin is $6$ W. The effectiveness and efficiency of the fin are $3$ and $0.75$, respectively. The heat loss (in W) from the fin, keeping the entire fin surface at base temperature, is _______.
The heat loss from a fin is $6$ W. The effectiveness and efficiency of the fin are $3$ and $0.75$, respectively. The heat loss (in W) from the fin, keeping the entire fin...
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GATE2017 ME-2: 3
The determinant of a $2 \times 2$ matrix is $50$. If one eigenvalue of the matrix is $10$, the other eigenvalue is _________.
The determinant of a $2 \times 2$ matrix is $50$. If one eigenvalue of the matrix is $10$, the other eigenvalue is _________.
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GATE2017 ME-2: 2
The divergence of the vector $-yi+xj$ is ________.
The divergence of the vector $-yi+xj$ is ________.
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