BCECE Engineering BCECE Engineering Solved Paper-2014

  • question_answer
    Shaft of a motor rotates at a constant angular velocity of 3000 rpm. The radians it has turned through in 1 s is

    A) \[\pi \]                                 

    B) \[10\pi \]

    C) \[50\pi \]                            

    D) \[100\pi \]

    Correct Answer: D

    Solution :

    Given, \[\text{ }\!\!\omega\!\!\text{  =3000 rpm}\] For rotations per second, we have \[\omega =\frac{3000}{60}\text{rps = 50 rps = 50}\times 2\pi \text{rad/s}\] \[\text{=100 }\!\!\pi\!\!\text{  rad/s}\] \[\therefore \]  \[\text{ }\!\!\theta\!\!\text{  =  }\!\!\omega\!\!\text{ t = 100 }\!\!\pi\!\!\text{  rad}\]


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