GATE 1997 Mechanical Engineering

The most commonly used criteria for measuring forecast error is

The order of error in the simpson's rule for numerical integration with a step size $$h$$ is

In a certain double pipe heat exchanger hot water flows at a rate of $$50,000$$ $$kg/h$$ and gets cooled from $${95^ \circ }C$$ to $${65^ \circ }C$$. At the same time $$50,000$$ $$...

Area bounded by the curve $$y = {x^2}$$ and the lines $$x=4$$ and $$y=0$$ is given by

The dynamic load capacity of $$6306$$ bearing is $$22KN.$$ The maximum radial load it can sustain to operate at $$600$$ $$rev/min,$$ for $$2000$$ hours is

To make a worm drive reversible, it is necessary to increase

In a forecasting model, at the end of period $$13,$$ the forecasted value for period $$14$$ is $$75.$$ Actual value in the periods $$14$$ to $$16$$ are constant at $$100$$. if the...

Helix angle of fast helix drill is normally

A small element at the critical section of a component in bi-axial state of stress with the two principal stresses being $$360$$ $$MPa$$ and $$140$$ $$MPa.$$ The maximum working st...

Kaplan turbine is

In a point to point control $$NC$$ machine, the slides are positioned by an integrally mounted stepper motor drive. If the specification of the motor is $$1$$ deg/pulse, and the pi...

Setup costs do not include

To restore stable operating condition in a hydrodynamic journal bearing, when it encounters higher magnitude loads.

In certain $$HE,$$ both the fluids have identical mass flow rate-specific heat product. The hot fluid enters at $${76^ \circ }C$$ and leaves at $${47^ \circ }C$$ and the cold fluid...

The cost of providing service in a queuing system increases with

A cutting tool has a nose radius of $$1.8mm$$. The feed rate for a theoretical surface roughness of $${R_t} = 5$$ microns is

At a place where the surroundings are at $$1$$ bar $${27^ \circ }C,$$ a closed rigid thermally insulated tank contains $$2$$ $$kg$$ air at $$2$$ bar, $${27^ \circ }C,$$ This air is...

The following data pertain to a single stage impulse steam turbine: Nozzle angle $$=$$ $${20^ \circ };$$ Blade velocity $$= 200$$ $$m/s;$$ Relative steam velocity at entry $$= 350$...

For an ideal gas the expression $$\left[ {T{{\left( {{{\delta s} \over {\delta T}}} \right)}_p} - T{{\left( {{{\delta s} \over {\delta T}}} \right)}_v}} \right]$$ is always equal t...

A system undergoes a state change from $$1$$ to $$2.$$ According to the second law of thermodynamics, for the process to be feasible, the entropy changes, $${S_2} - {S_1}$$ of the...

Air enters a frictionless adiabatic converging nozzle at $$10$$ bar, $$500$$ $$K$$ with negligible velocity. The nozzle dis-charges to a region at $$2$$ bar. If the exit area of th...

A dummy activity is used in $$PERT$$ network to describe

Which among the following is the boiler mounting?

Consider an actual regenerative Rankine cycle with one open feed water heater. For each $$kg$$ steam entering the turbine, if $$m$$ $$kg$$ steam with a specific enthalpy of $${h_1}...

A metal strip is to be rolled from an initial wrought thickness of $$3.5$$ $$mm$$ to a final rolled thickness of $$2.5$$ $$mm$$ in a single pass rolling mill having rolls of $$250$...

A Throwaway carbide insert was used to machine a steel work pieces with a cutting speed of $$60$$ $$m/min,$$ tool life of $$40$$ minutes was observed, when the cutting speed was in...

Match the following List - $${\rm I}$$ (a)$$\,\,\,\,\,$$ Automobile wheel mounting on axle (b)$$\,\,\,\,\,$$ High speed grinding spindle (c)$$\,\,\,\,\,$$ $${\rm IC}$$ - Engine con...

For the following set of simultaneous equations $$$1.5x - 0.5y + z = 2$$$ $$$4x + 2y + 3z = 9$$$ $$$7x + y + 5z = 10$$$

In a typical metal cutting operation, using a cutting tool of positive rake $$\gamma = 10\deg ,$$ it was observed that the shear angle was $$20deg$$. The friction angle is

Welding of $$C40$$ steel plate of $$10mm$$ thickness required a current of $$16$$amps, while it was $$360$$amps when the plate thickness was increased by $$50\% $$. Estimate the we...

In a turning trail using orthogonal tool geometry, a chip length of $$84mm$$ was obtained for an uncut chip length of $$200mm.$$ The cutting conditions were $$V=30m/min,$$ $${t_1}...

People arrive at a hotel in a Poisson distributed arrival rate of $$8$$ per hour. Service time distribution is closely approximated by the negative exponential. The average service...

The dimension of surface tension is :

Solve the initial value problem $${{{d^2}y} \over {d{x^2}}} - 4{{dy} \over {dx}} + 3y = 0$$ with $$y=3$$ and $${{dy} \over {dx}} = 7$$ at $$x=0$$ using the laplace transform techni...

The suspension system of a two-wheeler can be equated to a single spring-mass system with a viscous damper connected in series. Sketch the free body diagram and give the equations...