JCECE Medical JCECE Medical Solved Paper-2013

  • question_answer
    A body of mass 0.1 kg when rotated in a circular path of diameter 1.0 m on a frictionless horizontal plane by means of string, makes 10 revolutions in 31.4 seconds. The centripetal force acting on the body will be

    A)  0.2N  

    B)  0.1 N   

    C)  2 N    

    D)  1 N

    Correct Answer: A

    Solution :

     Given, \[m=0.1\,kg,\,r=\frac{1.0}{2}=0.5m\] \[T=\frac{31.4}{10}3.14\,s=\pi \sec \] \[\therefore \] \[F=mr{{\omega }^{2}}=mr{{\left( \frac{2\pi }{T} \right)}^{2}}=\frac{4{{\pi }^{2}}mr}{{{T}^{2}}}\] \[=\frac{4\times {{\pi }^{2}}\times 0.1\times 0.5}{{{\pi }^{2}}}=0.2\,N\]


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