Punjab Medical Punjab - MET Solved Paper-2001

  • question_answer
    The angular speed of earth, so that the object on equator may appear weight less, is \[(g=10)\,\,m/{{s}^{2}}\], radius of earth\[6400\,\,km\]

    A) \[1.25\times {{10}^{-3}}rad/s\]

    B) \[1.56\times {{10}^{-3}}rad/\sec \]

    C) \[1.25\times {{10}^{-1}}rad/s\]

    D) \[1.56\,\,rad/\sec \]

    Correct Answer: A

    Solution :

    Using the relation                 \[W=m(g-R\,\,{{\omega }^{2}})\]                 \[0=m{{(g-R\,\,\omega )}^{2}}\] So,          \[\omega =\sqrt{\frac{g}{R}}=\sqrt{\frac{10}{6.4\times {{10}^{6}}}}=\frac{1}{800}\] or            \[\omega =1.25\times {{10}^{-3}}\,\,rad/\sec \]


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