Recent questions tagged numerical-answers

The resistance spot welding of two $\text{1.55 mm}$ thick metal sheets is performed using welding current of $\text{10000 A}$ for $\text{0.25 s}$. The contact resistance ...

An orthogonal cutting operation is performed using a single point cutting tool with a rake angle of $12^{\circ}$ on a lathe. During turning, the cutting force and the fri...

In a grinding operation of a metal, specific energy consumption is $15 \text{ J/mm}^{3}$. If a grinding wheel with a diameter of $\text{200 mm}$ is rotating at $\text{300...

Consider a single machine workstation to which jobs arrive according to a Poisson distribution with a mean arrival rate of $12$ jobs/hour. The process time of the worksta...

An uninsulated cylindrical wire of radius $\text{1.0 mm}$ produces electric heating at the rate of $\text{5.0 W/m}$. The temperature of the surface of the wire is $75\;^{...

A solid sphere of radius $\text{10 mm}$ is placed at the centroid of a hollow cubical enclosure of side length $\text{30 mm}$. The outer surface of the sphere is denoted ...

Consider a steam power plant operating on an ideal reheat Rankine cycle. The work input to the pump is $\text{20 kJ/kg}$. The work output from the high pressure turbine i...

In the vicinity of the triple point, the equation of liquid-vapour boundary in the $\text{P-T}$ phase diagram for ammonia is $ \ln p=24.38-3063/T$, where $\text{P}$ is pr...

A cylindrical jet of water (density = $1000 \text{ kg/m}^{3}$) impinges at the center of a flat, circular plate and spreads radially outwards, as shown in the figure. The...

A single jet Pelton wheel operates at $\text{300 rpm}$. The mean diameter of the wheel is $\text{2 m}$. Operating head and dimensions of jet are such that water comes out...

An air-conditioning system provides a continuous flow of air to a room using an intake duct and an exit duct, as shown in the figure. To maintain the quality of the indoo...

Two smooth identical spheres each of radius $\text{125 mm}$ and weight $\text{100 N}$ rest in a horizontal channel having vertical walls. The distance between vertical wa...

An overhanging beam $\text{PQR}$ is subjected to uniformly distributed load $\text{20 kN/m}$ as shown in the figure.The maximum bending stree developed in the beam is ___...

The Whitworth quick return mechanism is shown in the figure with link lengths as follows: $\text{OP = 300 mm, OA = 150 mm, AR = 160 mm, RS = 450 mm}$.The quick return rat...

A short shoe drum (radius $\text{260 mm}$) brake is shown in the figure. A force of $\text{1 kN}$ is applied to the lever. The coefficient of friction is $0.4$.The magnit...

A machine part in the form of cantilever beam is subjected to fluctuating load as shown in the figure The load varies from $\text{800 N}$ to $\text{1600 N}$. The modified...

A cantilever beam of rectangular cross-section is welded to a support by means of two filled welds as shown in figure. A vertical load of $\text{2 kN}$ acts at free end o...

The figure below shows a symbolic representation of the surface texture in a perpendicular lay orientation with indicative values (I through VI) marking the various speci...

In the space above the mercury column in a barometer tube, the gauge pressure of the vapour ispositive, but more than one atmospherenegativezeropositive, but less than on...

The values of enthalpies at the stator inlet and rotor outlet of a hydraulic turbomachine stage are $h_1$ and $h_3$ respectively. The enthalpy at the stator outlet (or, r...

Let $\textbf{I}$ be a $100$ dimensional identity matrix and $\textbf{E}$ be the set of its distinct (no value appears more than once in $\textbf{E})$ real eigen values. T...

A beam of negligible mass is hinged at support $P$ and has a roller support $Q$ as shown in the figure.A point load of $1200 \: N$ is applied at point $R$. The magnitude ...

A machine member is subjected to fluctuating stress $\sigma = \sigma_0 \cos (8 \pi t)$. The endurance limit of the material is $350$ MPa. If the factor of safety used in ...

A bolt head has to be made at the end of a rod of diameter $d=12$ mm by localized forging (upsetting) operation. The length of the unsupported portion of the rod is $40$ ...

Consider the following network of activities, with each activity named $\textbf{A – L}$, illustrated in the nodes of the network.The number of hours required for each act...

In a furnace, the inner and outer sides of the brick wall $(k_1=2.5 \: \text{W/m.k})$ are maintained at $1100 ^\circ C$ and $700 ^\circ C$, respectively as shown in figur...

If a reversed Carnot cycle operates between the temperature limits of $27^\circ C$ and $-3^\circ C$, then the ratio of the COP of a refrigerator to that of a heat pump (C...

A cantilever of length $l$, and flexural rigidity $EI$, stiffened by a spring of stiffness $k$, is loaded by a transverse force $P$, as shown.The transverse deflection un...

The sun (S) and the Planet (P) of an epicyclic gear train shown in the figure have identical number of teeth.If the sun (S) and the outer ring (R) gears are rotated in th...

A thin-walled cylinder of radius $r$ and thickness $t$ is open at both ends, and fits snugly between two rigid walls under ambient conditions, as shown in the figure.The ...