JEE Main & Advanced Physics Two Dimensional Motion Question Bank Uniform Circular Motion

  • question_answer
    A cyclist riding the bicycle at a speed of \[14\sqrt{3}\] ms?1 takes a turn around a circular road of radius \[20\sqrt{3}\] m without skidding.  Given g = 9.8 ms?2, what is his inclination to the vertical            [Kerala (Engg.) 2001]

    A)             \[{{30}^{o}}\]         

    B)             \[{{90}^{o}}\]

    C)             45 o     

    D)             \[{{60}^{o}}\]

    Correct Answer: D

    Solution :

                    \[\theta ={{\tan }^{-1}}\left( \frac{{{v}^{2}}}{rg} \right)={{\tan }^{-1}}\left[ \frac{{{(14\sqrt{3})}^{2}}}{20\sqrt{3}\times 9.8} \right]={{\tan }^{-1}}[\sqrt{3}]\]\[=60{}^\circ \]


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