In a syringe as shown in the figure, a piston of $$1\,\,c{m^2}$$ cross section is pushed at a constant speed of $$10\,\,cm/s$$ to eject water through an outlet of $$1\,\,m{m^2}.$$ Determine the force required to move the piston. Neglecting losses.

A $$400m$$ long horizontal pipe is to deliver $$900$$ kg of oil
$$\left( {S = 0.9,\,\,\upsilon = 0.0002{m^2}/s} \right)$$ per minute. If the head loss is not to exceed $$8$$ $$m$$ of oil, find the pipe diameter.

(Friction factor in laminar flow: $$f = 64/{R_e}$$)

The stream function in a two dimensional flow field is given by $$\Psi = {x^2} - {y^2}$$
The magnitude of the velocity at point $$(1,1)$$ is

Two black plates, each one meter square, are placed parallel to each other in such a way that the radiation shape factor for the system is $$0.4.$$ If the plates are maintained at $${800^ \circ }C$$ and $${400^ \circ }C$$ respectively, determine the net radiant heat transfer between the plates. Also calculate the net heat exchange if the plates were infinite in size. Stephen Boltzmann constant $$ = 5.67 \times {10^{ - 8}}\,\,W/{m^2}{K^4}$$

The total efficiency, $${\eta _t}$$ for a finned surface may be defined as the ratio of the total heat transferred by the combined area of the fins, $${A_r},$$ and the exposed surface to that by the total area, $$A$$, if it were maintained at the base temp, $${T_0}.$$ Assuming uniform heat transfer coefficient over the entire surface, derive an expression for the relationship between efficiency and effectiveness of the fin.

The heat transfer process between a body and its ambient is governed by an internal conductive resistance $$\left( {{\rm I}CR} \right)$$ and an external convective resistance $$(ECR).$$ The body can be considered to be a lumped heat capacity system if

Which of the following is a technique for forecasting?

In an ideal inventory control system, the economic lot size for a part is $$1000.$$ If the annual demand for the part is doubled, the new economic lot size required will be:

In order to test the efficiency of reducer gear train $$1kW$$ input was given at the input end at a speed of $$1440$$ $$rpm$$ and at the output end the measured torque was $$56.36$$ $$N.m.$$ If the ratio of speed reduction in this unit is $$10:1,$$ the efficiency is about

Modern gear both profile is given involute shape because

Stress concentration in a machine component of a ductile material is not so harmful as it is in a brittle material because

In $$NC$$ part programming spindle speed of $$730rpm$$ will be coded by the magic - $$3$$ rule as

Appropriate instrument to check the flatness of slip gage is

Minimum dimensional and form accuracy can be obtained in the cylinder bores of automobile engines if the bores are finished by

Gear hobbing produces more accurate gears than milling because in hobbing

Teeth of internal spur gears can be accurately cut in a

The cutting tool are being tried for an operation. Tailors tool life equation for them are as follows
$$\eqalign{ & HSS\,\,tool\,:\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,V{T^{0.1}} = 200 \cr & Carbide\,\,tool\,:\,\,\,\,\,\,\,V{T^{0.35}} = 500 \cr} $$
Find out the break even speed above which the carbide tool will be economical.

In an orthogonal cutting test on the following data were obtained
Uncut chip thickness $$=0.25mm,$$ Cutting speed: $$60m/min,$$ Tool rake angle: $$0$$ Chip thickness $$0.75mm,$$ Cutting force : $$900$$ $$N$$, Thrust force : $$450$$ $$N$$

Calculate the shear angle, total power in making the cut and coefficient of friction between the chip tool interface.

The following data is available for machining a component on a turret or center lathe: find out the total number of components to be machined to justify the use of turret lathe

In turning operation the feed rate could be doubled to increase the metal removal rate To keep the same level of surface finish, the nose radius of the tool has to be

The size of $$BLUE$$ in metal cutting increases with

Crater wear always starts at some distance from the tool tip because at that point

An arc welding $$DC$$ power source has a linear power source characteristic with open circuit voltage $${V_O} = \,\,80$$ volts and short circuit current $${{\rm I}_S} = 1000amps.$$ The voltage-length characteristic of the arc is given by $$V=20+4L$$ volts where $$L$$ is the arc length in $$mm,$$ calculate the optimum length of arc for obtaining maximum arc power at welding. What voltage and current setting should be done on the power source for maximum arc power.

Two cubical castings of the same metal and sizes of $$2cm$$ side and $$4cm$$ side are moulded in green sand. If the smaller casting solidifies in $$2mins,$$ the expected time of solidifications of larger casting will be

Increase in water content in moding sand causes

Chills are used in molds to

An elastic body is subjected to a tensile stress $$X$$ in a particular direction and a compressive stress $$Y$$ in its perpendicular direction. $$X$$ and $$Y$$ are unequal in magnitude. On the plane of maximum shear stress in the body there will be:

For a simply supporting beam on two end supports the Bending Moment is maximum:

A cylindrical elastic body subjected to pure torsion about its axis develops:

The layout of a steam power plant working on the Rankine Cycle with single stage regeneration is shown in figure. Assuming the exit stream from the re-generator to be saturated draw the corresponding ideal cycle on a Mollier Chart and derive an expression for the thermal efficiency of the cycle.

Boiler $$-$$ $$B$$
Feed water heater $$-R$$
Pump $$-P$$

A economizer in a steam generator performs the function of

The fundamental objective of employing the condenser in a steam power plant is to (reducce / increase ) the ______________of steam