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AFMC AFMC Solved Paper-2010

  • question_answer
    A cyclist rides up a hill at a constant velocity. Determine the power developed by the cyclist if the length of the connecting rod of the pedal is r = 25 cm, the time of revolution of the rod is t = 2s and the mean force exerted by his foot on the pedal is F = 15 kg

    A) 115. 6 W                              

    B) 215.6 W

    C)                 15.6 W                                 

    D)                 11.56 W                               

    Correct Answer: A

    Solution :

    Linear velocity, \[v=rw=r\frac{2\pi }{t}\]        \[=\frac{1}{4}\times \frac{2\pi }{2}=\frac{\pi }{4}\,m{{s}^{-1}}\] Power, \[P=F\times v=(15.9.8)\times \frac{\pi }{4}\] \[=115.6\,\text{W}\]


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