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GATE 2021 MN – Question 36

Mining Methods and Machinery · Mining Machinery · 2 marks · Multiple choice

Six 10-tonne shuttle cars each carry 80% capacity and make 7 round trips/hour. They feed coal of bulk density 1.2 t/m³ to a belt with effective material area 0.09 m² and speed 1.1 m/s. What is production as a percentage of belt capacity?

  1. 65.46
  2. 71.42
  3. 78.56
  4. 82.46

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Correct answer: (C) 78.56

Explanation

Shuttle production is 6×10×0.8×7=336 t/hour. Belt capacity is 0.09×1.1×1.2×3600=427.68 t/hour. Their ratio is 336/427.68×100≈78.56%, C. Convert belt seconds to hours before comparing the capacities.

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