A light rope is wound around a hollow cylinder of mass 4   kg and radius 40   cm . If the rope is…

A light rope is wound around a hollow cylinder of mass 4 kg and radius 40 cm. If the rope is pulled with a force of 40 N, its angular acceleration is______.
  1. 0.40 rad s-2
  2. 0.25 rad s-2
  3. 25rads-2
  4. 40 rad s-2

Solution

Recall the relation of torque,

τ=Iα=FR⇒α=FRI=40×0.44×0.4×0.4=25 rad s-2

Asked in: AP EAMCET 2018 (25 Apr Shift 1)

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