J & K CET Medical J & K - CET Medical Solved Paper-2000

  • question_answer
    A cyclist covers a circular path 34.3 cm long in \[\sqrt{22}s.\] The angle of inclination of the cyclist is : (Given, \[g=9.8\text{ }m/{{s}^{2}}\])

    A) \[50{}^\circ C\]                                 

    B) \[45{}^\circ C\]

    C) \[30{}^\circ C\]

    D) \[60{}^\circ C\]

    Correct Answer: B

    Solution :

                    The angle of inclination is given by \[\tan \theta =\frac{{{v}^{2}}}{rg}\]where v is the velocity, r the radius of circular track and g the acceleration due to gravity \[velocity(v)=\frac{dis\tan ce(2\pi r)}{time}=\frac{34.3}{\sqrt{22}}\] \[\therefore \] \[\tan \theta =\frac{{{v}^{2}}}{rg}={{\left( \frac{34.3}{\sqrt{22}} \right)}^{2}}\times \frac{2\pi }{34.3\times 9.8}\] \[\Rightarrow \]               \[\tan \theta =1\] \[\Rightarrow \]               \[\theta ={{45}^{o}}\]


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