A and B are the end -points of a diameter of a disc rolling along a straight line with a counter Clock-wise angular velocity as shown in the figure. Referring to the velocity vectors $${\overline V _A}$$ and $${\overline V _B}$$ shown in the figure:

A jet of water with a velocity $${V_1}$$ (Figure shown below) and area of cross-section $${A_1}$$ enters a stream of slow moving water in a pipe of area $${A_2}$$ and velocity $${V_2}$$. The two streams enter with the same pressure $${P_1}$$. After thoroughly mixing in the pipe the stream emerges as a single stream with velocity $${V_3}$$ and pressure $${p_2}$$. If there are no losses in the flow, determine $$\left( {{p_2} - {p_1}} \right)$$ for
$${V_1} = 20\,\,m/s,\,\,$$
$${V_2} = 10\,\,m/s,\,\,$$
$${A_1} = 0.01\,\,{m^2},\,$$
$$\,{A_2} = 0.02\,{m^2},$$
density of water $$\rho = 1000kg/{m^3}.$$

The predominant forces acting on an element of fluid in the boundary layer over a flat plate in a uniform parallel stream are:

The cross-sectional area of one limb of a U-tube manometer [ Figure shown below ] is made $$500$$ time larger than the other, so that the pressure difference between the two limbs can be determined by measuring $$'h'$$ on one limb of the manometer. The percentage error involved is :

A jet of water issues from a Nozzle with a velocity $$20$$ $$m/s$$ and it impinges normally on a flat plate moving away from it at $$10\,m/s.$$ The cross-sectional area of the jet is $$0.01$$ $${m^2},$$ and the density of water $$ =1000\,\,kg/{m^3}.$$ The force developed on the plate is:

In a band operated liquid sprayer (figure shown below) the liquid from the container rises to the top of the tube because of :

A double pipe counter flow heat exchanger is to be designed to cool $$12000$$ $$kg/hr$$ of an oil of specific heat $$1.95$$ $$kJ/kgK$$ from $$\,85{}^ \circ C$$ to $$\,55{}^ \circ C$$ by water entering the heat exchanger at $$\,30{}^ \circ C$$ and leaving at $$\,45{}^ \circ C$$. If the $$OHTC$$ of heat exchanger is $$400$$ $$\,W/{m^2}K.\,$$ Calculate the $$LMTD$$ and the surface area of the heat exchanger

In pool boiling the highest $$HTC$$ occurs in

An iron rod $$\left( {K = 41.5W/mK} \right)$$ of $$15mm$$ diameter and $$160mm$$ long extends out of a hot surface of temp $${150^ \circ }C$$ into environment at $${36^ \circ }C.$$The free end of the rod is insulated. If the film heat transfer coefficient is $$25W/{m^2}K,$$ calculate the rate of heat flowing out of the hot surface through the rod and the temp at the insulated end of the rod.

Thermal conductivity is lower for

Service workshop has four jobs on hand to be processed. The date and processing time for each of the jobs are given below

Considering mean lateness and mean flow time, evaluate the shortest-time rule and least-slack rule and recommend the desirable rule.

In the construction of networks, dummy activities are introduced in order to :

The process of shot peening increases the fatigue life of steel springs mainly because it results in

When $$1.0\% $$ plain carbon steel is slowly cooled from the molten state to $$740C,$$ the resulting structure will contain

In small lot production for machining $$T-$$slots on machine tables, it is expected to use

If the longitudinal feed in center-less grinding is expressed by
$${V_f} = \pi \,D.\,\,N\,\sin \,\alpha ,\,\,D$$ stands for

A tube is orthogonally machined in lathe to reduce its length under the following conditions.
Outside diameter of the tube : $$100mm,$$
Inside diameter of the tube $$=96$$ $$mm$$
$$RPM$$ of the work piece $$=120,$$
Longitudinal feed $$=0.5mm/rev$$
Cutting ratio $$=0.3,$$
Tangential force $$=800N,$$
Axial force $$=600N$$
Calculate the chip velocity in $$m/min$$ and the total power consumption in $$KW$$

Most of the metal cutting heat goes into the

Manual metal arc welding is to be used for welding two plates each measuring $$800 \times 200 \times 19mm.$$ Given that
Length of weld $$\,\,\,\,\,\,\,\,\,\,$$$$\,\,\,\,\,\,\,\,\,\,\,$$$$:180mm$$
Length of electrode$$\,\,\,\,\,\,\,\,\,\,\,$$ $$:450mm$$
Stub length$$\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,$$$$\,\,\,\,\,\,\,\,\,\,\,$$ $$:50mm$$
Diameter of electrode $$\,\,\,\,\,$$ $$:3mm$$
Weld reinforcement area $$:10\% $$
Spatter and other losses $$:15\% $$
Root gap $$=$$ land $$=$$ $$2mm$$
Angle of groove$$\,\,\,\,\,\,\,\,\,\,\,$$$$\,\,\,\,\,\,\,\,\,$$ $$:{60^ \circ }$$
Estimate the required number of electrodes for the weld.

At small variations of are length at operating conditions, the manual metal are welding transformer provides nearly

Penetration is increased by

The pressure at the in-gate will be maximum with the gating system

Which one of the following diagrams shows correctly the distribution of transverse shear stress across the depth h of a rectangular beam subjected to varying bending moment along its length?

The three - dimensional state of stress at a point is given by: $$$\left[ \sigma \right] = \left[ {\matrix{ {30} & {10} & { - 10} \cr {10} & 0 & {20} \cr { - 10} & {20} & 0 \cr } } \right]MN/{m^2}$$$

The shear stress in the $$x-y$$ plane at the same point is then equal to

In the Rankine cycle when super-heated steam is used:

A power station produces $$500$$ $$MW$$ of power. Assuming a plant thermal efficiency of $$33.3$$ percent, calculate the rate of cooling water flow required in tons per hour, if the rise of cooling water temperature is to be restricted to $${5^ \circ }C.\,\,\,$$ The specific heat of the water used is $$4.2$$ $$kJ/kg$$-$$K.$$

When initially dry and saturated steam flows through a nozzle, the ratio of actual discharge to calculated discharge is

Identify the type of turbo machinery for the following case. Specify the reasons.
Power developed $$=430$$ $$kW;$$
Operating head $$=300$$ $$m;$$
Speed $$=600$$ $$rpm.$$