J & K CET Medical J & K - CET Medical Solved Paper-2014

  • question_answer
    A solid cylindrical of mass 30 kg rotates about its axis with an angular speed of 50 rad/s. What is the KE associated with the rotation of the cylinder, if the radius of the cylinder is 0.30 m?

    A)  1500.5 J         

    B)  1687.5 J

    C)  2000.7J          

    D) 1350.0 J

    Correct Answer: B

    Solution :

     KE of rotating cylinder\[=\frac{1}{2}I{{\omega }^{2}}\] \[I=\frac{M{{R}^{2}}}{2}\]  [for solid cylinder] \[=15\times 0.09\] \[=1.35kg/{{s}^{2}}\] \[\Rightarrow \]So    \[KE=\frac{1}{2}\times 1.35\times {{(50)}^{2}}\] \[=1687.53\]


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