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GATE ME 2023 Set 1 — Question 55

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NAT+2 / -0HardAdditive Manufacturing & 3D PrintingComputer Integrated ManufacturingMetrology, CIM & Additive Mfg

Metrology, CIM & Additive Mfg → Computer Integrated Manufacturing → Additive Manufacturing & 3D Printing

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Question

A solid part of polymer material is to be fabricated by additive manufacturing (AM) in square-shaped layers starting from the bottom of the part working upwards. The part is a stepped stack of three square blocks, centred one above the other:
  • bottom block: 3a×3a3a \times 3a in plan, height 1.5a1.5a;
  • middle block: 2a×2a2a \times 2a in plan, height aa;
  • top block: a×aa \times a in plan, height 0.5a0.5a.
All dimensions are in mm. The nozzle diameter of the AM machine is a/10a/10 mm and the nozzle follows a linear serpentine path parallel to the sides of the square layers with a feed rate of a/5a/5 mm/min.
Ignore any tool path motions other than those involved in adding material, and any other delays between layers or the serpentine scan lines.
The time taken to fabricate this part is ___________ minutes.
(Answer in integer)

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