PhysicsA circular disc is rotating about its own axis at a uniform angular velocity ‘ω ‘. The disc is subjected to uniform angular retardation by which its angular velocity is decreased to ω/2 during 120 rotations. The number of rotations further made by it before coming to rest is

A circular disc is rotating about its own axis at a uniform angular velocity 'ω '. The disc is subjected to uniform angular retardation by which its angular velocity is decreased to ω/2 during 120 rotations. The number of rotations further made by it before coming to rest is

  1. A

    120

  2. B

    60

  3. C

    40

  4. D

    20

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    Solution:

    as α constant
    α=ω2-ω022θ=ω2-ω022(2πN)

    Nω2-ω02

    NN'=ω22-ω20-ω22=-34-14=3

    N'=N3=1203=40

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