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A load whose torque varies as the square of the speed is exemplified by

  • A.a hoist lifting a fixed weight at a steady speed
  • B.a lathe cutting at constant power over a range of workpiece diameters
  • C.a conveyor carrying a uniform load along a horizontal path
  • D.a centrifugal fan

Answer: D

Fans, centrifugal pumps and propellers all move fluid, and the resistance grows with the square of the speed while the power grows with the cube. That cubic law is why a small reduction in fan speed saves so much energy.

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