GATE ME 2025 Set 1 — Question 33
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Manufacturing Processes → Joining → Welding Processes
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Question
During a welding operation, thermal power of 2500 W is incident normally on a metallic surface. As shown in the figure below (figure is NOT to scale), the heated area is circular. Out of the incident power, 85% of the power is absorbed within a circle of radius 5 mm while 65% is absorbed within an inner concentric circle of radius 3 mm. The power density in the shaded area is _________ W mm (rounded off to 2 decimal places).
Correct answer
9.92 to 9.98
Solution
1.Calculate power absorbed in the shaded area:
Total incident power W.Power absorbed within mm is W.
Power absorbed within mm is W.
Power absorbed in the shaded annular region W.
2.Calculate the area of the shaded region:
mm.3.Calculate power density ():
W mm.Rounding off to 2 decimal places, the power density is 9.95 W mm.Continue learning with Success Tracker
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