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GATE 2024 MN – Question 13

Surface Environment, Mine Ventilation and Underground Hazards · Mine Ventilation · 1 mark · Multiple choice

An airway 2.0 m wide and 2.5 m high turns throughπ/4 radians with 4.0 m bend radius. Find its empirical bend shock factor to three decimals.

  1. 0.014
  2. 0.024
  3. 0.051
  4. 0.071

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Show answer and explanation

Correct answer: (A) 0.014

Explanation

For the rectangular-bend correlation use $X=0.25(\theta/90)^2/(m^2\sqrt a)$, where m=r/b and a=d/b. Here m=4/2=2, a=2.5/2=1.25 and θ=45°. Therefore X=0.25×0.5²/(4√1.25)=0.013975≈0.014, A. The deflection must be converted to degrees for this form of the correlation.

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