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Question

A chain of 125 links is 1.25 m long and has mass of 2 kg with the ends fastened together. It is set for rotating at 50 r e v s to the power of negative 1 end exponent, centripetal force on each links is

  1. 3.14 N  
  2. 0.314 N  
  3. 314 N  
  4. None of these  

The correct answer is: 314 N


    F equals m r omega to the power of 2 end exponent
    equals fraction numerator 2 over denominator 125 end fraction cross times fraction numerator 1.25 over denominator 2 pi end fraction cross times open parentheses 100 pi close parentheses to the power of 2 end exponent blank left parenthesis therefore omega equals 2 pi f equals 2 cross times 50 cross times pi right parenthesis
    equals 100 pi N equals 314 N

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