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VMMC VMMC Medical Solved Paper-2013

  • question_answer
    A body of mass \[m=10\,kg\]is attached to a wire of length 0.3 m. Calculate the maximum angular velocity with which it can be rotated in a horizontal circle (Breaking stress of wire\[=4.8\times {{10}^{7}}N/{{m}^{2}}\] and area of cross-section of a wire\[={{10}^{-6}}{{m}^{2}}\])

    A)  4 rad/s           

    B)  8 rad/s

    C)  1 rad/s           

    D)  2 rad/s

    Correct Answer: A

    Solution :

     Breaking - Strength == Tension in the wire \[=mr\,{{\omega }^{2}}\] \[4.8\times {{10}^{7}}\times {{10}^{-6}}=10\times 0.3\times {{\omega }^{2}}\] \[{{\omega }^{2}}=\frac{48}{0.3\times 10}=16\] \[\omega =4\,rad/s\]


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