GATE AG 2011 • Q17 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 windmill having 8 blades is used for pumping water. Each blade has a tip radius of 1.0 m and a mean chord of 0.1 m. Assuming blade length equal to tip radius, solidity of the windmill is

Options:

  • (A) 0.03
  • (B) 0.10
  • (C) 0.25
  • (D) 0.80

Official Answer Key:

C

Step-by-Step Solution & Explanation

Solidity σ of a windmill rotor = (total blade planform area)/(swept area) = n·c·R/(πR²), where n = number of blades = 8, c = mean chord = 0.1 m, R = tip radius = 1.0 m. σ = (8×0.1×1.0)/(π×1.0²) = 0.8/3.1416 ≈ 0.255 ≈ 0.25, matching option (C).

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