GATE AG 2012 • Q35 MCQ • 1 Mark

Section 3: Farm Power

Sources of Power

Subtopic: Sources of power on the farm – human, animal, mechanical, electrical, wind, solar and biomass

Question Statement:

A horizontal-axis drag-type windmill (square blades) and a horizontal-axis lift-type windmill (airfoil blades) of the same rotor size are installed at 10 m height; average wind speed 25 km/h. Maximum power coefficients: drag type 0.148, lift type 0.593. If the maximum power extracted by the drag type is 5 kW, the corresponding power for the lift type, in kW, is:

Options:

  • (A) 8.43
  • (B) 12.63
  • (C) 18.03
  • (D) 20.03

Official Answer Key:

D

Step-by-Step Solution & Explanation

Power extracted ∝ power coefficient Cp (same rotor swept area and wind speed for both). P_lift/P_drag = Cp,lift/Cp,drag = 0.593/0.148 = 4.007. P_lift = 5 × 4.007 = 20.03 kW. Answer: D.

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