MGIMS WARDHA MGIMS WARDHA Solved Paper-2009

  • question_answer
    A spherical solid ball of mass 1 kg and radius 3o cm is rotating about an axis passing through its centre with an angular velocity of 50 rad/s. The kinetic energy of rotation is

    A)  4500 J                                  

    B)  90 J

    C)   910 J                                   

    D)  0.45J

    Correct Answer: D

    Solution :

                    d) KE of rotation \[=\frac{1}{2}I{{\omega }^{2}}=\frac{1}{2}\times \left( \frac{2}{5}M{{R}^{2}} \right){{\omega }^{2}}\] \[KE=\frac{1}{5}M{{R}^{2}}{{\omega }^{2}}\] \[=\frac{1}{5}\times 1\times {{(3\times {{10}^{-2}})}^{2}}\times {{(50)}^{2}}\] \[=\frac{1}{5}\times 9\times {{10}^{-4}}\times 2500\] \[=0.45J\]


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