Recent questions tagged numerical-answers

A steel plate having yield strength of $550$ MPa , is subjected to biaxial state of stress as $\sigma_{x}=\sigma$ and $\sigma_{y}=-2 \sigma$. Using distortion energy theo...

A sphere of radius $5$ mm is initially in equilibrium at $400^{\circ} \mathrm{C}$ in a furnace. It is suddenly removed from the furnace and dipped in a well-stirred water...

A block of $50$ kg mass is on an inclined plane. The block is connected to another hanging mass M by an inextensible massless string through two massless pulleys as shown...

A simply supported beam is subjected to an external point load P as shown in the figure below. The beam has a rectangular cross-section of $20 \mathrm{~mm} \times 45 \mat...

A rigid slender bar, AB, is sliding against two mutually perpendicular frictionless walls, as shown in the figure below. The velocity of A in the downward direction at a ...

A cylindrical pressure vessel made of steel has diameter of $3$ m and wall thickness of $15$ mm. For steel, Young's modulus and Poisson's ratio are $210$ GPa and $0.3$, r...

A welded square plate of $1 \mathrm{~m} \times 1 \mathrm{~m}$ is subjected to biaxial stress of magnitude $6.5$ MPa and $25$ MPa , as shown in the figure below. The ratio...

Water with a density of $1000 \mathrm{~kg} / \mathrm{m}^{3}$ comes out of an industrial condenser through a horizontal pipe of 15 cm radius at the flow rate of $4.5 \math...

Two rectangular surfaces both having $1 \mathrm{~m}^{2}$ area are placed perpendicular to each other with a common edge. One surface is hot, having a temperature of $1000...

Convective heat transfer coefficients for Fluid $1$ and Fluid $2$ in a heat exchanger, as shown in the figure below, are $50 \mathrm{~W} /\left(\mathrm{m}^{2} \mathrm{~K}...

A liquid comes out of the reactor of a chemical plant at $250^{\circ} \mathrm{C}$ temperature with a flow rate of $100$ LPM. The ambient temperature is $25^{\circ} \mathr...

A rigid closed vertical cylindrical vessel of $15$ cm diameter contains $5$ kg water at $80^{\circ} \mathrm{C}$ with $10 \%$ quality. The water is heated till its tempera...

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...