AFMC AFMC Solved Paper-2011

  • question_answer
    Find the maximum velocity with which a train can be moved on a circular track of radius 200 m. The banking of the track is 5.71° (given, tan 5.71° = 0.1)

    A) 1.4 m/s                                

    B) 14 m/s

    C) 140 m/s                               

    D) 0.14 m/s

    Correct Answer: B

    Solution :

    \[\tan \theta =\frac{{{v}^{2}}}{rg}\] \[\Rightarrow \]   \[\sqrt{rg\tan \theta }\] \[=\sqrt{200\times 10\times \tan {{5.71}^{o}}}\] \[=\sqrt{200\times 10\times 0.1}\] \[=14.14\,\,\,m/s\] \[=14\,\,m/s\]


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