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For a fixed-diameter impeller, if pump speed increases by factor n (N₂/N₁), the shaft power approximately scales with what exponent on n in ideal affinity?

Choices

  • (A) n³ (power ∝ N³, flow ∝ N, head ∝ N²)
  • (B) n²
  • (C) n
  • (D) 1/n

Correct answer: (A)

n³ (power ∝ N³, flow ∝ N, head ∝ N²)

Explanation

Affinity laws: Q₂/Q₁ = n, H₂/H₁ = n², P₂/P₁ = n³.

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Question 11 of 80