Recent questions tagged numerical-answers

An inward flow reaction turbine, having an outer diameter of $1$ m, runs at $600$ RPM. The normal component of absolute velocity at the inlet is $10 \mathrm{~m} / \mathrm...

In a deep drawing operation of a rectangular sheet metal, $30\%$ stretching in length results in $15\%$ reduction in thickness. Assuming volume constancy, the normal anis...

The actual demand for castings in a factory is $500$ units and $635$ units for the months of January $2026$ and February $2026$, respectively. The forecasted demand for J...

The inventory holding cost of an item is ₹ $0.50$ per unit per month and the ordering cost per order is ₹ $550$. A stockist needs to supply $10000$ units of the item per ...

A metal has $\text{FCC}$ crystal structure with $2.71 \mathrm{~g} / \mathrm{cm}^{3}$ of density and $26.98 \mathrm{~g} / \mathrm{mol}$ of atomic weight. The Avogadro's nu...

During orthogonal turning by using a single point cutting tool, feed rate is $0.24 \mathrm{~mm} / \mathrm{rev}$. The uncut chip thickness is $0.23$ mm. The shear angle, t...

A drill bit during its lifetime can produce $150$ through holes in a plate at a drill-speed of $200$ RPM. If the drill-speed increases to $300$ RPM , then it can produce ...

The activities of a PERT network and their corresponding activity time estimates (in weeks) i.e., optimistic ( $t_{o}$ ), most likely ( $t_{m}$ ), and pessimistic ( $t_{p...

If two unbiased coins are tossed, then what is the probability of having at least one head?$0.25$$0.5$$0.675$$0.75$

​​​​In a laboratory experiment using a scaled down model to measure scour at a bridge pier, the Froude number is important. The ratio of the prototype length to the model...

​​​In a psychrometric chart, one axis represents dry-bulb temperature. The axis, that is perpendicular to the dry-bulb temperature axis, representswet-bulb temperaturespe...

The values of a function $f$ obtained for different values of $x$ are shown in the table below.$x$00.250.50.751.0$f(x)$0.92.01.51.80.4Using Simpson's one-third rule,$\int...

During a welding operation, thermal power of $2500 \: W$ is incident normally on a metallic surface. As shown in the figure below (figure is NOT to scale), the heated are...

A liquid metal is poured in a mold cavity of size $200 \mathrm{~mm} \times 200 \mathrm{~mm} \times 200 \mathrm{~mm}$. The cooling is uniform in all directions with NO add...

A block of mass $1 \: kg$ connected to a spring of stiffness $10 \mathrm{~N} \mathrm{~m}^{-1}$ is operating in a viscous medium such that the damping ratio (or damping fa...

​​In the closed interval $[0,3]$, the minimum value of the function $f$ given below is$$ f(x)=2 x^{3}-9 x^{2}+12 x$$ $0$$4$$5$$9$

​​​​​​Considering the actual demand and the forecast for a product given in the table below, the mean forecast error and the mean absolute deviation, respectively, arePer...

​​​​​Wire drawing operation is performed on a perfectly plastic metal without any strain hardening. Assuming no friction and no redundant work, the maximum possible perce...

​​​​​A plate of $30 \: mm$ thickness is fed through a rolling mill with two powered rolls. Each roll has a diameter of $500 \: mm$. The plate thickness is to be reduced t...

If $C$ is the unit circle in the complex plane with its center at the origin, then the value of $n$ in the equation given below is _________ (rounded off to $1$ decimal ...

The directional derivative of the function $f$ given below at the point $(1,0)$ in the direction of $\frac{1}{2}(\hat{\imath}+\sqrt{3} \hat{\jmath})$ is __________ (round...

Let $y$ be the solution of the differential equation with the initial conditions given below. If $y(x=2)=A \ln 2$, then the value of $A$ is ________ (rounded off to $2$ d...

Consider a cylindrical furnace of $5 \: m$ diameter and $5 \:m$ length with bottom, top and curved surfaces maintained at uniform temperatures of $800 \mathrm{~K}, 1500 \...

A pitot tube connected to a U-tube mercury manometer measures the speed of air flowing in the wind tunnel as shown in the figure below. The density of air is $1.23 \mathr...

Consider a velocity field $\vec{V}=3 z \hat{\imath}+0 \hat{\jmath}+C x \: \widehat{k}$, where $C$ is a constant. If the flow is irrotational, the value of $C$ is _______...

Water enters a tube of diameter, $\mathrm{D}=60 \mathrm{~mm}$ with mass flow rate of $0.01 \mathrm{~kg} \mathrm{~s}^{-1}$ as shown in the figure below. The inlet mean tem...