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A hoist drum lifting a load through a rope presents to the motor a referred inertia of

  • A.\( m v \omega \)
  • B.\( m \omega^2/v^2 \)
  • C.\( m/v^2 \)
  • D.\( m v^2/\omega^2 \) for a mass \( m \) moving at speed \( v \)

Answer: D

Equating the kinetic energy of the moving mass to that of an equivalent rotating inertia gives the result directly. The same energy argument produces every referral relation, which is why it is worth remembering in preference to the formulae themselves.

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