Production and Industrial Engineering
GATE PI discipline:mechanical-and-production-engineering PYQs
Build your understanding with focused practice from past exam papers.
Questions 441–450 of 650. Imported answers require independent review unless marked reviewed.
Question 41
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A mass of 3 kg of Argon gas at 3 bar, 27 °C is contained in a rigid, insulated vessel. Paddle wheel work is done on the gas for 30 minutes at the rate of 0.015 kW. Specific heat at constant volume,
, for Argon is 0.3122 kJ/kg-K. The final temperature of the gas (rounded off to one decimal place) in kelvin is __________.Log in to check the answer
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The figure shows drawing of a part with dimensions and tolerances, both in mm. The permissible tolerance for slot A (rounded off to one decimal place) in mm is ±__________.

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To manufacture a product by casting, molten metal is poured in cavity of rectangular cross section in a sand mold with a side blind riser as shown in the figure. The dimensions of the mold cavity are 60 cm x 40 cm x 20 cm.

The riser is cylindrical in shape with diameter equal to height. It is required that the solidification time of the riser should be 25% greater than that of the mold. Using Chvorinov’s rule, the diameter of the riser (rounded off to one decimal place) in cm should be __________.
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A cylindrical billet of 90 mm diameter is extruded to produce an I-section as shown in the figure (all dimensions in mm).

The total extrusion pressure (
) in MPa required for the above process is given by
where,
is the mean flow stress of the material, and
and
are the initial and the final cross-sectional areas, respectively. If the mean flow stress of the extruded material is 80 MPa, the force required for the above extrusion (rounded off to one decimal place) in kN is __________.Log in to check the answer
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The heat generated in a resistance spot welding operation for joining two metal sheets with a certain set of process parameters is 2000 J. For a second spot welding operation on the same sheets without any change in the overall resistance of the system, the current is increased by 25% and the time for which the current is applied is reduced to half. The heat generated in the second operation (rounded off to one decimal place) in J is ____________.
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A vertical boring operation is performed in a cast iron plate to enlarge a blind hole to a diameter of 25 mm up to a depth of 100 mm in a single pass. The cutting speed and the feed used in the process are 100 m/min and 0.1 mm/rev, respectively. Considering the allowance for tool approach as 2 mm, the actual machining time (rounded off to two decimal places) in minutes is ________________.
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For a particular tool-workpiece combination, the value of exponent
in Taylor’s tool life equation is 0.5. If the cutting speed is reduced by 50% keeping all the other machining conditions same, the increase in tool life in % is ____________.Log in to check the answer
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In a waterjet machining process, the water pressure used is 500 MPa. The diameter of orifice of the nozzle through which the waterjet comes out is 0.25 mm. Neglecting frictional and other losses, and using the density of water as 1000 kg/m
, the mass flow rate of the waterjet (rounded off to two decimal places) in kg/min is ____________.Log in to check the answer
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The movement along the z-axis of a CNC drilling machine is controlled by using a servo motor, a lead screw and an incremental encoder. The lead screw has 2 threads/cm and it is directly coupled to the servo motor. The incremental encoder attached to the lead screw emits 100 pulses/revolution. The control resolution in microns is ____________.
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A project consists of seven activities as listed in the table. The time required for each activity and its immediate predecessor(s) are also given.
Activity | Time required (in weeks) | Immediate Predecessor(s) |
|---|---|---|
P | 7 | - |
Q | 4 | - |
R | 2 | Q |
S | 11 | P |
T | 9 | P, R |
U | 9 | Q |
V | 4 | T, U |
The project completion time using Critical Path Method (CPM) in weeks is ____________.
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