Manipal Medical Manipal Medical Solved Paper-2015

  • question_answer
    A ring of radius 0.5 and mass 10 kg is rotating about its diameter with angular velocity of 20 rad \[{{s}^{-1}}\]. Its kinetic energy is

    A) 10 J                           

    B) 100 J  

    C) 500 J                         

    D) 250 J

    Correct Answer: D

    Solution :

    Moment of inertia of a ring about its diameter \[l=\frac{1}{2}m{{r}^{2}}\]and kinetic energy is given by \[{{E}_{k}}=\frac{1}{2}l{{\omega }^{2}}\] \[{{E}_{k}}=\frac{1}{4}m{{r}^{2}}{{\omega }^{2}}\]    \[=\frac{1}{4}\times 10\times {{(0.5)}^{2}}\times {{(20)}^{2}}\]   \[=250\,J\]


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