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A body of mass 2 kg is rotating on a circular path of radius 0.8 m with an angular velocity 44 rac sec. If radius of path becomes 1 m then value t angular velocity will be
  • a)
    35,28 rad/sec    
  • b)
    14.08 rad/sec
  • c)
    28.16 rad/sec    
  • d)
    24.08 rad/sec
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A body of mass 2 kg is rotating on a circular path of radius 0.8 m wit...
We shall apply conservation of angular momentum; that is
I1ω1 = I2ω2
⇒ mv1r1 = mv2r⇒  ω1r12 = ω2r22
⇒ 44 x (0.8)2 =  ω x (1)2
⇒ ω2 = 44 x 0.8 x 0.8 = 28.16 radius/sec
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A body of mass 2 kg is rotating on a circular path of radius 0.8 m with an angular velocity 44 rac sec. If radius of path becomes 1 m then value t angular velocity will bea)35,28 rad/sec b)14.08 rad/secc)28.16 rad/sec d)24.08 rad/secCorrect answer is option 'C'. Can you explain this answer?
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